14 results on '"*KLEIN paradox"'
Search Results
2. Fabry-Pérot Interference in Gapped Bilayer Graphene with Broken Anti-Klein Tunneling.
- Author
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Varlet, Anastasia, Ming-Hao Liu, Krueckl, Viktor, Bischoff, Dominik, Simonet, Pauline, Kenji Watanabe, Takashi Taniguchi, Richter, Klaus, Ensslin, Klaus, and Ihn, Thomas
- Subjects
- *
FABRY-Perot interferometers , *GRAPHENE , *KLEIN paradox , *ENCAPSULATION (Catalysis) , *BORON nitride - Abstract
We report the experimental observation of Fabry-Pérot interference in the conductance of a gate-defined cavity in a dual-gated bilayer graphene device. The high quality of the bilayer graphene flake, combined with the device's electrical robustness provided by the encapsulation between two hexagonal boron nitride layers, allows us to observe ballistic phase-coherent transport through a 1-μm-long cavity. We confirm the origin of the observed interference pattern by comparing to tight-binding calculations accounting for the gate-tunable band gap. The good agreement between experiment and theory, free of tuning parameters, further verifies that a gap opens in our device. The gap is shown to destroy the perfect reflection for electrons traversing the barrier with normal incidence (anti-Klein tunneling). The broken anti-Klein tunneling implies that the Berry phase, which is found to vary with the gate voltages, is always involved in the Fabry-Perot oscillations regardless of the magnetic field, in sharp contrast with single-layer graphene. [ABSTRACT FROM AUTHOR]
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- 2014
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3. Chiral Tunneling in a Twisted Graphene Bilayer.
- Author
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Wen-Yu He, Zhao-Dong Chu, and Lin He
- Subjects
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GRAPHENE , *ELECTRONS , *KLEIN paradox , *QUASIPARTICLES , *FERMIONS , *CHIRALITY - Abstract
The perfect transmission in a graphene monolayer and the perfect reflection in a Bernal graphene bilayer for electrons incident in the normal direction of a potential barrier are viewed as two incarnations of the Klein paradox. Here we show a new and unique incarnation of the Klein paradox. Owing to the different chiralities of the quasiparticles involved, the chiral fermions in a twisted graphene bilayer show an adjustable probability of chiral tunneling for normal incidence: they can be changed from perfect tunneling to partial or perfect reflection, or vice versa, by controlling either the height of the barrier or the incident energy. As well as addressing basic physics about how the chiral fermions with different chiralities tunnel through a barrier, our results provide a facile route to tune the electronic properties of the twisted graphene bilayer. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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4. Broken Symmetries, Zero-Energy Modes, and Quantum Transport in Disordered Graphene: From Supermetallic to Insulating Regimes.
- Author
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Cresti, Alessandro, Ortmann, Frank, Louvet, Thibaud, Van Tuan, Dinh, and Roche, Stephan
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ELECTRIC properties of graphene , *SYMMETRY breaking , *KLEIN paradox , *QUANTUM Hall effect , *ANDERSON localization , *SCANNING tunneling microscopy - Abstract
The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two sublattices or exclusively located on a single sublattice, all conduction regimes are covered from direct tunneling through evanescent modes to mesoscopic transport in bulk disordered graphene. Depending on the transport measurement geometry, defect density, and broken sublattice symmetry, the Dirac-point conductivity is either exceptionally robust against disorder (supermetallic state) or suppressed through a gap opening or by algebraic localization of zero-energy modes, whereas weak localization and the Anderson insulating regime are obtained for higher energies. These findings clarify the contribution of zero-energy modes to transport at the Dirac point, hitherto controversial. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
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5. Tuning Anti-Klein to Klein Tunneling in Bilayer Graphene.
- Author
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Renjun Du, Ming-Hao Liu, Mohrmann, Jens, Fan Wu, Krupke, Ralph, von Löhneysen, Hilbert, Richter, Klaus, and Danneau, Romain
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KLEIN paradox , *GRAPHENE , *QUASIPARTICLES - Abstract
We show that in gapped bilayer graphene, quasiparticle tunneling and the corresponding Berry phase can be controlled such that they exhibit features of single-layer graphene such as Klein tunneling. The Berry phase is detected by a high-quality Fabry-Pérot interferometer based on bilayer graphene. By raising the Fermi energy of the charge carriers, we find that the Berry phase can be continuously tuned from 2π down to 0.68π in gapped bilayer graphene, in contrast to the constant Berry phase of 2π in pristine bilayer graphene. Particularly, we observe a Berry phase of π, the standard value for single-layer graphene. As the Berry phase decreases, the corresponding transmission probability of charge carriers at normal incidence clearly demonstrates a transition from anti-Klein tunneling to nearly perfect Klein tunneling. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
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6. Quantum Simulation of the Klein Paradox with Trapped Ions
- Author
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Rainer Blatt, Cornelius Hempel, Jorge Casanova, Rene Gerritsma, Enrique Solano, F. Zähringer, Gerhard Kirchmair, Christian F. Roos, Juan José García-Ripoll, and B. P. Lanyon
- Subjects
Physics ,Quantum Physics ,Scattering ,FOS: Physical sciences ,General Physics and Astronomy ,Quantum simulator ,Scattering length ,Klein paradox ,01 natural sciences ,010305 fluids & plasmas ,Scattering amplitude ,symbols.namesake ,Quantum electrodynamics ,Quantum mechanics ,0103 physical sciences ,symbols ,Relativistic wave equations ,Scattering theory ,Quantum Physics (quant-ph) ,010306 general physics ,Wave function - Abstract
We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and continuous components of relativistic wave functions. Multiple laser fields and an auxiliary ion simulate the dynamics generated by the Dirac equation in the presence of a scattering potential. Measurement and reconstruction of the particle wave packet enables a frame-by-frame visualization of the scattering processes. By precisely engineering a range of external potentials we are able to simulate text book relativistic scattering experiments and study Klein tunneling in an analogue quantum simulator. We describe extensions to solve problems that are beyond current classical computing capabilities.© 2011 American Physical Society., We gratefully acknowledge support by the Austrian Science Fund (FWF), by the European Commission (Marie-Curie program), by the Institut fu¨r Quanteninformation GmbH and IARPA. E. S. thanks for support from the Spanish MICINN project FIS2009- 12773-C02-01, Basque Government Grant IT472-10, ITN CCQED and SOLID European projects. J. C. acknowledges the Basque Government BFI08.211.J. J. G.-R. acknowledges the Spanish projects MICINN FIS2009-10061 and QUITEMAD.
- Published
- 2011
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7. Evidence for Klein Tunneling in Graphenep−nJunctions
- Author
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David Goldhaber-Gordon, N. Stander, Benjamin Huard, Department of Physics, Stanford University, and Huard, Benjamin
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Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Magnetoresistance ,Condensed matter physics ,Graphene ,FOS: Physical sciences ,General Physics and Astronomy ,02 engineering and technology ,Klein paradox ,021001 nanoscience & nanotechnology ,01 natural sciences ,law.invention ,Magnetic field ,Solution of Schrödinger equation for a step potential ,symbols.namesake ,Klein tunneling ,Dirac fermion ,[PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] ,law ,[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,0103 physical sciences ,symbols ,010306 general physics ,0210 nano-technology - Abstract
Transport through potential barriers in graphene is investigated using a set of metallic gates capacitively coupled to graphene to modulate the potential landscape. When a gate-induced potential step is steep enough, disorder becomes less important and the resistance across the step is in quantitative agreement with predictions of Klein tunneling of Dirac fermions up to a small correction. We also perform magnetoresistance measurements at low magnetic fields and compare them to recent predictions., Major changes made: 1) Taking into account properly the contribution of the resistance of monopolar junctions to the odd part of the resistance. To better present the results we use a fitting parameter for the amplitude of screening in graphene. 2) Wrong data for the diffusive model in figures 3, 9 and 10 was plotted in former version. 3) Figure 5 moved to EPAPS
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- 2009
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8. Klein Backscattering and Fabry-Pérot Interference in Graphene Heterojunctions
- Author
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Mark S. Rudner, Leonid Levitov, and Andrei Shytov
- Subjects
Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed matter physics ,Graphene ,Scattering ,Phase (waves) ,FOS: Physical sciences ,General Physics and Astronomy ,Klein paradox ,Interference (wave propagation) ,law.invention ,Magnetic field ,symbols.namesake ,Amplitude ,law ,Quantum mechanics ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,symbols ,Sign (mathematics) - Abstract
We present a theory of quantum-coherent transport through a lateral p-n-p structure in graphene, which fully accounts for the interference of forward and backward scattering on the p-n interfaces. The backreflection amplitude changes sign at zero incidence angle because of the Klein phenomenon, adding a phase $\pi$ to the interference fringes. The contributions of the two p-n interfaces to the phase of the interference cancel with each other at zero magnetic field, but become imbalanced at a finite field. The resulting half a period shift in the Fabry-Perot fringe pattern, induced by a relatively weak magnetic field, can provide a clear signature of Klein scattering in graphene. This effect is shown to be robust in the presence of spatially inhomogeneous potential of moderate strength., Comment: 5 pgs, 4 fgs
- Published
- 2008
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9. Magnetic confinement of massless Dirac fermions in graphene
- Author
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Reinhold Egger, A. De Martino, and Luca Dell'Anna
- Subjects
Physics ,Mesoscopic physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed matter physics ,Graphene ,High Energy Physics::Lattice ,Quantum point contact ,FOS: Physical sciences ,General Physics and Astronomy ,Klein paradox ,Condensed Matter::Mesoscopic Systems and Quantum Hall Effect ,Spin quantum number ,Magnetic field ,law.invention ,symbols.namesake ,Dirac fermion ,law ,Quantum dot ,Quantum mechanics ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,symbols ,QC - Abstract
Due to Klein tunneling, electrostatic potentials are unable to confine Dirac electrons. We show that it is possible to confine massless Dirac fermions in a monolayer graphene sheet by inhomogeneous magnetic fields. This allows one to design mesoscopic structures in graphene by magnetic barriers, e.g. quantum dots or quantum point contacts., Comment: 4 pages, 3 figures, version to appear in PRL
- Published
- 2006
10. Klein paradox in spatial and temporal resolution
- Author
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P. Krekora, Rainer Grobe, and Q. Su
- Subjects
Solution of Schrödinger equation for a step potential ,Physics ,symbols.namesake ,Classical mechanics ,Pair production ,Temporal resolution ,Resolution (electron density) ,symbols ,General Physics and Astronomy ,Relativistic wave equations ,Electron ,Klein paradox ,Quantum field theory - Abstract
Based on spatially and temporally resolved numerical solutions to the relativistic quantum field equations, we provide a resolution to the controversial issue of how an incoming electron scatters off a supercritical potential step and how the electron-positron pair production is affected by this collision. The treatment of the problem as a correlated three-particle problem suggests revealing insight into the process.
- Published
- 2003
11. Inhibiting Klein Tunneling in a Graphene p-n Junction without an External Magnetic Field.
- Author
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Hyungju Oh, Sinisa Coh, Young-Woo Son, and Cohen, Marvin L.
- Subjects
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KLEIN paradox , *GRAPHENE , *P-N junctions (Semiconductors) - Abstract
We study by first-principles calculations a densely packed island of organic molecules (F4TCNQ) adsorbed on graphene. We find that with electron doping the island naturally forms a p-n junction in the graphene sheet. For example, a doping level of ~3×1013 electrons per cm² results in a p-n junction with an 800 meV electrostatic potential barrier. Unlike in a conventional p-n junction in graphene, in the case of the junction formed by an adsorbed organic molecular island we expect that the Klein tunneling is inhibited, even without an applied external magnetic field. Here Klein tunneling is inhibited by the ferromagnetic order that spontaneously occurs in the molecular island upon doping. We estimate that the magnetic barrier in the graphene sheet is around 10 mT. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
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12. Magnetic Breakdown and Klein Tunneling in a Type-II Weyl Semimetal.
- Author
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O'Brien, T. E., Diez, M., and Beenakker, C. W. J.
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SEMIMETALS , *KLEIN paradox , *MAGNETIC breakdown - Abstract
The band structure of a type-II Weyl semimetal has pairs of electron and hole pockets that coexist over a range of energies and touch at a topologically protected conical point. We identify signatures of this Weyl point in the magnetic quantum oscillations of the density of states, observable in thermodynamic properties. Tunneling between the electron and hole pockets in a magnetic field is the momentum space counterpart of Klein tunneling at a p-n junction in real space. This magnetic breakdown happens at a characteristic field strength that vanishes when the Fermi level approaches the Weyl point. The topological distinction between connected and disconnected pairs of type-II Weyl cones can be distinguished by the qualitatively different dependence of the quantum oscillations on the direction of the magnetic field. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
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13. Erratum: Method for Retrieval of the Three-Dimensional Object Potential by Inversion of Dynamical Electron Scattering [Phys. Rev. Lett. 109, 245502 (2012)].
- Subjects
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ELECTRON scattering , *KLEIN paradox - Abstract
A correction to the article "Method for Retrieval of the Three-Dimensional Object Potential by Inversion of Dynamical Electron Scattering" that was published in the 2012 issue is presented.
- Published
- 2013
- Full Text
- View/download PDF
14. Reformulation of the Dirac Theory of the Electron
- Author
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A. O. Barut
- Subjects
Physics ,General Physics and Astronomy ,Dirac algebra ,Klein paradox ,symbols.namesake ,Classical mechanics ,Dirac fermion ,Dirac spinor ,Dirac equation ,Two-body Dirac equations ,symbols ,Dirac sea ,Group theory ,Mathematical physics - Abstract
It is shown that when the Dirac theory is formulated in the formalism of the dynamical group O(4, 2), there is no need to invoke the hole theory or the notion of backward motion in time to describe antiparticles. A single irreducible representation of O(4, 2) is used and the discrete operators $P$, $C$ become inner automorphisms of the group. The most general linear minimal parity-violating equation generalizing the Dirac equation is shown to lead to two possible distinct mass values.
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- 1968
- Full Text
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