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This book covers basic and advanced aspects in the field of Topological Matter. The chapters are based on the lectures presented during the Topological Matter School 2017. It provides graduate level content introducing the basic concepts of the field, including an introductory session on group theory and topological classification of matter. Different topological phases such as Weyls semi-metals, Majoranas fermions and topological superconductivity are also covered. A review chapter on the major experimental achievements in the field is also provided. The book is suitable not only for master, graduate and young postdoctoral researchers, but also to senior scientists who want to acquaint themselves with the subject.

This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter. The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration.

A groundbreaking conception of interactive media, inspired by continuity, field, and process, with fresh implications for art, computer science, and philosophy of technology.In this challenging but exhilarating work, Sha Xin Wei argues for an approach to materiality inspired by continuous mathematics and process philosophy. Investigating the implications of such an approach to media and matter in the concrete setting of installation- or event-based art and technology, Sha maps a genealogy of topological media—that is, of an articulation of continuous matter that relinquishes a priori objects, subjects, and egos and yet constitutes value and novelty. Doing so, he explores the ethico-aesthetic consequences of topologically creating performative events and computational media. Sha's interdisciplinary investigation is informed by thinkers ranging from Heraclitus to Alfred North Whitehead to Gilbert Simondon to Alain Badiou to Donna Haraway to Gilles Deleuze and Félix Guattari.Sha traces the critical turn from representation to performance, citing a series of installation-events envisioned and built over the past decade. His analysis offers a fresh way to conceive and articulate interactive materials of new media, one inspired by continuity, field, and philosophy of process. Sha explores the implications of this for philosophy and social studies of technology and science relevant to the creation of research and art. Weaving together philosophy, aesthetics, critical theory, mathematics, and media studies, he shows how thinking about the world in terms of continuity and process can be informed by computational technologies, and what such thinking implies for emerging art and technology.

This thesis presents the first systematic electron transport investigation of rhombohedral graphite (RG) films and thus lies at the interface of graphene physics, vdW heterostructure devices and topological matter. Electron transport investigation into the rhombohedral phase of graphite was limited to a few layers of graphene due to the competing hexagonal phase being more abundant. This work reports that in exfoliated natural graphite films, rhombohedral domains of up to 50 layers can be found. In the low energy limit, these domains behave as an N-layer generalisation of graphene. Moreover, being a potential alternative to twisted bilayer graphene systems, RG films show a spontaneous metal-insulator transition, with characteristic symmetry properties that could be described by mean-field theory where superconductivity is also predicted in these low energy bands. A nodal-line semimetal in the bulk limit, RG thin films are a 3D generalisation of the simplest topological insulator model:the Su-Schrieffer-Heeger chain. Similar to the more usual topological insulators, RG films exhibit parallel conduction of bulk states, which undergo three-dimensional quantum transport that reflects bulk topology.

The ideal textbook for a one-semester introductory course for graduate students or advanced undergraduatesThis book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and nuclear physics, condensed matter, and particle physics. Unlike other textbooks on the subject, it covers topics across a broad range of physical fields—phenomena as well as theoretical tools—and does so in a simple and accessible way.Edward Shuryak begins with Feynman diagrams of the quantum and statistical mechanics of a particle; in these applications, the diagrams are easy to calculate and there are no divergencies. He discusses the renormalization group and illustrates its uses, and covers systems such as weakly and strongly coupled Bose and Fermi gases, electron gas, nuclear matter, and quark-gluon plasmas. Phenomena include Bose condensation and superfluidity. Shuryak also looks at Cooper pairing and superconductivity for electrons in metals, liquid ³He, nuclear matter, and quark-gluon plasma. A recurring topic throughout is topological matter, ranging from ensembles of quantized vortices in superfluids and superconductors to ensembles of colored (QCD) monopoles and instantons in the QCD vacuum.Proven in the classroom, Quantum Many-Body Physics in a Nutshell is the ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates.Teaches students how quantum many-body systems work across many fields of physicsUses path integrals from the very beginningFeatures the easiest introduction to Feynman diagrams availableDraws on the most recent findings, including trapped Fermi and Bose atomic gasesGuides students from traditional systems, such as electron gas and nuclear matter, to more advanced ones, such as quark-gluon plasma and the QCD vacuum

This book provides an introduction to topological matter with a focus on insulating bulk systems. A number of prerequisite concepts and tools are first laid out, including the notion of symmetry transformations, the band theory of semiconductors and aspects of electronic transport. The main part of the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as their characteristic responses to external perturbations. Special emphasis is given to the study of the anomalous electric, thermal, and thermoelectric transport properties, the theory of orbital magnetisation, and the polar Kerr effect. The topological models studied throughout this book become unified and generalised by means of the tenfold topological-classification framework and the respective systematic construction of topological invariants. This approach is further extended to topological superconductors and topological semimetals. This book covers a wide range of topics and aims at the transparent presentation of the technical aspects involved. For this purpose, homework problems are also provided in dedicated Hands-on sections. Given its structure and the required background level of the reader, this book is particularly recommended for graduate students or researchers who are new to the field.

This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter. The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.

Is there a connection between the environmental, climate, and political crises facing us today and Western dualism? By critically examining the subject/object dualism that has supported Western philosophy and aesthetics since the 17th century, Nicola Perullo presents a relational and co-operative account of aesthetic experience and human existence.Exploring science, ontology and aesthetics through the perspectives of quantum physics'relational interpretation and non-dualistic philosophies, Perullo draws on Western theories in anthropology and cultural traditions such as Buddhism and Daoism. We see how the ontology supported by dualism renders the world to consist of static, solid, and discrete things, making them vulnerable to be controlled, dominated, and possessed. In Perullo's ground-breaking analysis an alternative way of perceiving is offered: the “haptic” modality which is guided by cooperation, communication, and correspondence. Such a mode of perception and experience is ecological, precluding the possibility of domination, hierarchy, and exploitation. This challenge to the ramifications of the subject-object model, the very cornerstone of Western thought, is an exciting invitation to rethink the purpose of philosophizing and its impact on life.

'Can you kick a black hole?''What about electrons?'As a child, quantum-physicist Smitha Vishveshwara pondered such questions with her astrophysicist father, C. V. Vishveshwara (Vishu); decades later, their musings grew into a series of letter exchanges in Two Revolutions: Relativity and Quantum Physics. The letters between father and daughter lead the scientifically curious reader through these two remarkable branches of physics that dramatically changed our perception of nature. From the subatomic to the astronomical realms, they weave a rich tapestry of scientific insight, history, personal anecdotes, philosophy, and wonder. The book traces Einstein's tenacious journey in formulating the theory of relativity, in which space and time merge, and gravitation warps spacetime, forming the very fabric of the Universe. The authors reveal how black holes and gravitational waves emerge as bizarre and awe-inspiring constructs within this framework. In the quantum realm, the book mulls over conundrums posed by wave-particle duality, Schrodinger's curious cat, the beautiful dance of electrons in atoms, and entanglement. It explores communities of particles acting in marvelous concert in magnetic resonance imaging, superfluids, and more. Fate took unforeseen twists while the book was still in the making. In 2016, after decades of work by numerous researchers, the detection of gravitational waves — Vishu's lifelong dream — finally came to pass. Emanating from two spiraling blackholes a billion light years away, the waves'signals even showed hints of Vishu's pioneering predictions on black hole ringdowns from the 1970s. But soon after that glorious culmination, Vishu fell critically ill. Smitha concludes their story by recreating the euphoria of scientific discovery against the intimate backdrop of life and death.

This textbook introduces topological defects and solitons at a level suitable for advanced undergraduates and beginning graduate students in physics and materials science. It avoids the formal mathematics of topology, and instead concentrates on the physical properties of these topological structures. The first half of the book concentrates on fundamental principles of defects and solitons, and illustrates these principles with a single example—the xy model for 2D magnetic order. It begins by defining the concept of a winding number, and uses this concept to describe the topology of defects (vortices or disclinations) and solitons (domain walls), carefully identifying the similarities and differences between these two types of topological structures. It then goes on to discuss physical properties of defects and solitons, including free energy, dynamics, statistical mechanics, and coupling with curvature. It shows how these concepts emerge from a theory with variable magnitude of order, and hence how topology can be viewed as an approximation to physics. The second half goes on to explore a wider range of topological defects and solitons. First, it considers more complex types of order—2D nematic liquid crystals, 3D magnetic or liquid-crystal order, 2D or 3D crystalline solids—and shows how each type of order leads to specific topological structures. Next, it discusses defects and solitons that are characterized by 2D or 3D measuring surfaces, not just 1D loops, including hedgehogs, skyrmions, and hopfions. These structures are more complex, but they can still be understood using the same fundamental principles. A final chapter describes the formation of phases with regular arrays of defects or solitons.

This thesis describes key contributions to the fundamental understanding of materials structure and dynamics from a microscopic perspective. In particular, the thesis reports several advancements in time-domain methodologies using ultrafast pulses from X-ray free-electron lasers (FEL) to probe the interactions between electrons and phonons in photoexcited materials. Using femtosecond time-resolved X-ray diffraction, the author quantifies the coherent atomic motion trajectory upon sudden excitation of carriers in SnSe. This allows the reconstruction of the nonequilibrium lattice structure and identification of a novel lattice instability towards a higher-symmetry structure not found in equilibrium. This is followed by an investigation of the excited-state phonon dispersion in SnSe using time-resolved X-ray diffuse scattering which enables important insight into how photoexcitation alters the strength of specific bonds leading to the novel lattice instability observed in X-ray diffraction. Finally, by combining ultrafast X-ray diffraction and ARPES, the author performs quantitative measurements of electron-phonon coupling in Bi2Te3 and Bi2Se3. The findings highlight the importance of time-resolved X-ray scattering techniques based on FELs, which reveals the details of interplay between electron orbitals, atomic bonds, and structural instabilities. The microscopic information of electron phonon interaction obtained from these methods can rationalize ways to control materials and to design their functional properties.

The proposed book will be a “one-stop” place for all the young material researchers to understand the recent and reliable material making process, characterization, and reliability test tools. The proposed book is designed to provide basic knowledge to understand and analyse structure-property relationship for reliable emerging material systems for next generation of semiconductor technologies.The book is suggested to engineers and scientists across the world working on various new and novel materials for reliable semiconductor device applications. The book is expected to serve as a reference guide for young scientists and engineers in the field of material science and electronic engineers to acquire latest state-of-art experimental and computational tools to encourage their research activities.Since the scope of the book is generic, the book can be referred by all the students of science and engineering students to create a common awareness about the latest material systems and state-of-art characterization tools that have been broadly utilized to study the physical and chemical properties of different material systems.It introduces the readers to a wide variety of new emerging materials systems including their synthesis, fabrication, measurement, reliability test, modelling and simulations with in-depth analysis of selective applications.This book contains the state-of-art research updates in the various fields of semiconductor, artificial intelligence (AI), bio-sensor, biotechnology, with respect to reliable material research. Therefore, various students who are eager to get a job in semiconductor/AI/Autonomous car/biotechnology are strongly recommended to read this book and learn about related state-of-art knowledge.

What is'topological'about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid-state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation?Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture and emphasizing two major new paradigms in condensed matter physics – quantum topology and quantum information – this book is ideal for graduate students and researchers entering this field, as it allows for the fruitful transfer of ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and unveils the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the toric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems.Topological quantum computation is also presented using a broad perspective, which includes elements of classical and quantum information theory, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and key ideas underlying quantum computation with anyons. This new edition has been updated throughout, with exciting new discussions on crystalline topological phases, including higher-order topological insulators; gapless topological phases, including Weyl semimetals; periodically-driven topological insulators; and a discussion of axion electrodynamics in topological materials.Key Features:· Provides an accessible introduction to this exciting, cross-disciplinary area of research.· Fully updated throughout with new content on the latest result from the field.· Authored by an authority on the subject.Tudor Stanescu is a professor of Condensed Matter Theory at West Virginia University, USA. He received a B.S. in Physics from the University of Bucharest, Romania, in 1994 and a Ph.D. in Theoretical Physics from the University of Illinois at Urbana Champaign in 2002. He was a Postdoctoral Fellow at Rutgers University and at the University of Maryland from 2003 to 2009. He joined the Department of Physics and Astronomy at West Virginia University in Fall 2009. Prof. Stanescu's research interests encompass a variety of topics in theoretical condensed matter physics including topological insulators and superconductors, topological quantum computation, ultra-cold atom systems in optical lattices, and strongly correlated materials, such as, for example, cuprate high-temperature superconductors. His research uses a combination of analytical and numerical tools and focuses on understanding the emergence of exotic states of matter in solid state and cold atom structures, for example, topological superconducting phases that host Majorana zero modes, and on investigating the possibilities of exploiting these states as physical platforms for quantum computation.

This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion metamaterials and wave metamaterials (pioneered by J. B. Pendry in the 1990s) are recognised as the two most prominent branches in the field of metamaterials. These two branches differ in their emphasis on the diffusion equation (as the governing equation) and time-dependent characteristic lengths in diffusion metamaterials, as opposed to the wave equation (as the governing equation) and time-independent characteristic lengths in wave metamaterials. Organized into three distinct parts –'Thermal Diffusion Metamaterials','Particle Diffusion Metamaterials', and'Plasma Diffusion Metamaterials'– this book offers a rigorous exploration spanning physics, engineering, and materials science, aimed at advancing our understanding of diffusion processes controlled by diffusion metamaterials. Incorporating foundational theory, computational simulations, and laboratory experiments, the book equips researchers and scholars across these disciplines with comprehensive methods, insights, and results pivotal to the advancement of diffusion control. Beyond facilitating interdisciplinary discourse, the book serves as a catalyst for innovative breakthroughs at the crossroads of physics, thermodynamics, and materials science. Essentially, readers will acquire profound insights that empower them to spearhead advancements in diffusion science (diffusionics) and the engineering of metamaterials.

A topological insulator is an area that has yet to be fully explored and developed. The charge-induced bandgap fluctuation in the best-known bismuth-chalcogenide-based topological insulators is approximately 10MeV in magnitude. The major focus has shifted to the investigation of the presence of high-symmetry electronic bands as well as the utilization of easily produced materials. As the subject of topological insulators is still in the nascent stage, there is growing research and knowledge in the emerging field. This book is intended to provide the readers with an understanding of the needs and application of these materials. Keywords: Topological Insulators, Insulators, One-Dimensional Topological Insulators, Graphene, Magnetic Topological Insulator, Antiferromagnetic Phase, Ferromagnetic Phase, Topological Superconductor, Nonlinear Optical Behavior, Saturable Absorber, Quantum, Band Gap, Photonic Topological Insulators.

In The Fold, Laura U. Marks offers a practical philosophy and aesthetic theory for living in an infinitely connected cosmos. Drawing on the theories of Leibniz, Glissant, Deleuze, and theoretical physicist David Bohm—who each conceive of the universe as being folded in on itself in myriad ways—Marks contends that the folds of the cosmos are entirely constituted of living beings. From humans to sandwiches to software to stars, every entity is alive and occupies its own private enclosure inside the cosmos. Through analyses of fiction, documentary and experimental movies, interactive media, and everyday situations, Marks outlines embodied methods for detecting and augmenting the connections between each living entity and the cosmos. She shows that by affectively mediating with the ever-shifting folded relations within the cosmos, it is possible to build “soul-assemblages” that challenge information capitalism, colonialism, and other power structures and develop new connections with the infinite. With this guide for living within the enfolded and unfolding cosmos, Marks teaches readers to richly apprehend the world and to trace the processes of becoming that are immanent within the fold.

'High-order harmonics emerging from the interaction of strong laser fields with solid matter constitute a novel, highly sensitive tool for interrogating electronic structure and dynamics in solids. At the interface of attosecond physics and condensed matter physics, this book provides an excellent overview of the current state of the art.'Ferenc KrauszNobel Laureate in Physics, 2023High-order harmonic generation (HHG) in solids, the nonlinear upconversion of coherent radiation resulting from the interaction of a strong and short laser pulse with bulk matter, has come of age. Since the seminal experiments and theoretical developments, there has been a constant and vibrant interest in this topic. In this book, we invite experimental and theoretical experts in the field with the aim to summarize the progress made so far and propose new possibilities and prospects for the generation of high-order harmonics using solid samples. Nowadays, it is possible to engineer, both spatially and temporally with nanometric and attosecond resolution, the driven fields. This could bring solid HHG to the next exciting frontier as novel and fully tunable table-top coherent sources.

This comprehensive book delves into the fascinating world of quasiparticle properties of graphene-related materials. The authors thoroughly explore the intricate effects of intrinsic and extrinsic interactions on the material's properties, while unifying the single-particle and many-particle properties through the development of a theoretical framework. The book covers a wide range of research topics, including long-range Coulomb interactions, dynamic charge density waves, Friedel oscillations and plasmon excitations, as well as optical reflection and transmission spectra of thin films. Also it highlights the crucial roles of inelastic Coulomb scattering and optical scattering in the quasiparticle properties of layered systems, and the impact of crystal symmetry, number of layers, and stacking configuration on their uniqueness. Furthermore, the authors explore the topological properties of quasiparticles, including 2D time-reversal-symmetry protected topological insulators with quantum spin Hall effect, and rhombohedral graphite with Dirac nodal lines. Meanwhile, the book examines the gate potential application for creating topological localized states and shows topological invariants of 2D Dirac fermions, and binary Z2 topological invariants under chiral symmetry. The calculated results are consistent with the present experimental observations, establishing it as a valuable resource for individuals interested in the quasiparticle properties of novel materials.

This book deals with the discovery and explanation of the quantum Hall effect and its fundamental principles. It is meant for undergraduate and graduate students of physics, engineering, and applied sciences studying condensed matter physics. Doctoral students and researchers of this subject will also find it equally useful. It begins with a historical overview of this effect wherein the experiment and the physical systems are described. It progresses to cover discrete symmetries like inversion symmetry, time reversal symmetry, particle-hole symmetry, and chiral symmetry. It also examines how the Hamiltonian transforms under such symmetry operations. Two 1D models, namely the Su-Schrieffer-Heeger (SSH) model and a Kitaev chain with superconducting correlations, are discussed too. Then, the quantum Hall effect in graphene is explained. Further, the spin Hall effect is studied which may have prospects of using graphene as spintronic devices. The book ends with a brief review on fractional quantum Hall effect.

This thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in'free'(mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases.The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized'Majorana boson'and'Dirac boson'modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science.

Dynamic Relationality Theory of Creative Transformation: Grounding Machinic Ecosystems in Life Experiences introduces a visionary approach to understanding the evolving relationship between technology and human experiences. It delves into the transformative potential of Machinic Generalized Intelligence (MGI), where AI and human intelligence converge harmoniously, creating a new paradigm of interactive, machinic life experiences. This book challenges the traditional tech-centric view, advocating for a life and experience-first perspective. It presents the Dynamic Relationality Theory (DRT), a novel conceptual framework that redefines our interaction with technology, emphasizing cocreative, emergent experiences over mere digital platformization.Through an interdisciplinary approach combining philosophical insights and social theories with practical applications, this book navigates the complexities of digitalized life ecosystems, employing concepts and tools from assemblage theory, category theory, sheaf theory, differential topology, and gauge theory. For readers grappling with the complexities of AI and its societal implications, this book offers clarity and direction. It provides a robust theoretical framework to understand the changing landscape of human–technology interaction. Furthermore, it integrates philosophical insights and ethical considerations into the discussion of AI and technology, providing a well-rounded perspective that aids in ethical decision-making and responsible innovation. It also delves into practical applications and future implications of AI, aiding readers in applying these concepts in real-world scenarios.By moving beyond a purely technological focus, this book equips readers with the insights needed to navigate the ethical, philosophical, and practical challenges posed by the integration of AI into daily life. A crucial resource for academics, professionals, and policymakers, this book serves as a guide to making informed decisions and fostering responsible innovation in the age of AI. - Provides a novel and holistic approach—comprehensive framework of Dynamic Relationality Theory (DRT)—to understanding the interplay between AI and human experiences, helping readers grasp the complexities of this coevolution - Uses an interdisciplinary approach which integrates philosophical, sociological, and technological perspectives, offering a multifaceted view that is crucial for a deep understanding of the subject - Focuses on ethical and societal implications, guiding readers through the moral complexities of technology integration

High magnetic fields are a vital tool in many areas of science and technology that impact our everyday lives. Magnetic resonance imaging enables a wide range of medical diagnostics and research, while nuclear magnetic resonance is critical for drug discovery research and more. High magnetic fields are an essential component to many proposed fusion energy reactors and are necessary to push the boundaries towards the development of new quantum technologies and semiconductors. At the request of the National Science Foundation, the National Academies organized a study to identify scientific opportunities and key applications for high-magnetic-field science and technology for the next decade and beyond. This report explores the current state and future prospects for high-magnetic-field technologies and recommends actions to support the workforce, facilities, magnet development, and critical materials access necessary to promote U.S. innovation.

The book offers a pedagogical introduction to higher-spin gauge theories. These theories build upon fundamental gauge theories that are crucial for understanding core interactions. Electromagnetism and nuclear forces are associated with gauge fields of spin 1, while gravity can be conceptualized as a gauge theory of spin 2. This prompts the intriguing inquiry: do higher-spin gauge theories exist? Such theories would extend gravity, incorporating massless gauge fields of spins higher than two. They appear to bear connections to string theory and offer a captivating framework for exploring gravity and aspects of quantum gravity. The book initiates with a primer offering a comprehensive discussion on higher spins, delving into the challenges of establishing coherent interactions. It then explores methodologies to surmount these challenges within three-dimensional space-time. Furthermore, it investigates the emergence of asymptotic symmetry algebras, establishing links to a holographic dual conformal theory. The final chapter introduces Vasiliev's approach to higher-spin gauge theory in four dimensions. Designed for advanced students and young researchers in theoretical physics and mathematical physics, the book aims to elucidate fundamental ideas, concepts, and tools underpinning higher-spin gauge theories. The inclusion of numerous exercises complements and illustrates the content, preparing readers for engagement with the subject's original literature and ongoing developments. To fully engage with the book's arguments, a prerequisite understanding of field theories and conventional gauge theories, including gravity, is assumed.

A geometric figure has chirality, or handedness, if its mirror image cannot be brought to coincide with itself. The concept of chirality was instrumental in establishing the tetrahedral valences of the carbon atom, and has continued to play a key role in chemistry and molecular biology ever since.The fact that living organisms use only one of two mirror isomers of such molecules as amino acids and sugars, that is, the question of the origin of homochirality of the molecular basis of life, remains an unsolved problem of the same dignity as the origin of dark matter and dark energy.The increasing importance of chirality and topology in condensed matter physics and chemistry, and the production of new states of matter in heavy-ion collisions, have brought the concept of chirality into physics and cosmology in a tangible way while at the same time expanded the physics/chemistry interface. The book is the first to address all aspects of chirality in a single volume.

Driven by the advent of two-dimensional materials, valleytronics is emerging as the next hot field of research in materials science. While the use of charge or spin degrees of freedom in electronic materials as information carriers is familiar and well-appreciated, employment of the valley degree of freedom as an information carrier has remained elusive for many decades. Shortly following the discovery of isolated graphene, 2D semiconductors such as transition metal dichalcogenides were also isolated and investigated. We now understand that these materials can have separately addressable valleys because each valley can be uniquely coupled to a spin state. This imparts the ability to address different valleys (like pseudospins) with electric field, magnetic field, or light, and there is now a real possibility to engineer practical devices based on using valley as the information carrier.Valleytronics in 2D Materials is the first book in the world on the topic of valleytronics. The reader is introduced to the concept via a brief history emphasizing the challenges that impeded its development for so long. We then dive into the valley physics of 2D semiconductors to explain the recent excitement in 2D valleytronics, the scientific investigations to confirm the addressable valleys, and the attempts to engineer valley devices for practical purposes. The text takes on a decidedly practical approach towards the subject, seeking to bring the reader quickly into the field by presenting the minimum theoretical basis for understanding the use of the valley degree of freedom in devices. A selection of key works establishing the scientific underpinnings of valley addressability and control are described to help the reader grasp the current stage of understanding, the technical foundations established, and the open questions. The renewal in valleytronics is yet unfinished, but with more than a decade of research and engineering efforts devoted in recent times, this book seeks to provide a timely reference for students, scientists and engineers to join this exciting journey and perhaps help to create the next disruption in information technology.

Encyclopedia of Condensed Matter Physics, Second Edition, Five Volume Set is an authoritative and comprehensive expansion of the classic 2005 work, delivering over 300 brand new or fully updated articles focused on core theoretical discoveries and modern applications. Meticulously planned and structured into approximately 60 sections, the book allows the user to quickly gain a solid footing in the key theoretical aspects of quantum mechanics, mechanics, electrodynamics, relativity, statistical mechanics and the elementary particles that form the core physics background for the field. The work also presents useful coverage of experimental techniques, materials processing, and materials systems, as well as applied topics. Novel topics, including topology in condensed matter, graphene, integer and fractional quantum Hall effect, and other nanoscale phenomena in optics, in semiconductors, and in superconductors are presented in unusual depth. The encyclopedia solves the problem that students and interdisciplinary researchers often have of finding clear, accessible foundational information to answer their initial questions on a topic. - Presents an authoritative, modern presentation of advances in graphene, topology, quantum effects, optics, semiconductors and superconductors, and many more areas - Meticulously organized into approximately 300 articles and 60 sub-sections, offering a thematically balanced and navigable portrait of an unusually diverse interdisciplinary field - Contains logical and consistent chapter templating and writing styles adopted throughout, including use of next generation pedagogic features