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1. Honeycomb structures in magnetic fields

Author

Maciej Zworski, Svetlana Jitomirskaya, Rui Han, Becker Simon, Simon, Becker [0000-0002-6703-9511], and Apollo - University of Cambridge Repository

Subjects
Statistics and Probability, Paper, Cantor spectrum, magnetic, General Physics and Astronomy, FOS: Physical sciences, 01 natural sciences, quantum Hall effect, Mathematics - Spectral Theory, honeycomb, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, 010306 general physics, Spectral Theory (math.SP), Mathematical Physics, Anderson model, Physics, Quantum Physics, Condensed matter physics, 010102 general mathematics, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), 5104 Condensed Matter Physics, Magnetic field, Honeycomb structure, Modeling and Simulation, Quantum Physics (quant-ph), 51 Physical Sciences, semiclassical analysis, de Haas van Alphen effect
Abstract

Funder: University of Cambridge Centre for Doctoral Training, We consider the nearest-neighbour tight binding model of the honeycomb lattice in magnetic fields and discover surprizing new analytical results that fully explain fractal spectra and experimentally observed asymmetries in the density of states of molecular graphene. We describe a fractal Cantor spectrum for irrational magnetic flux through a honeycomb, and establish the existence of zero energy Dirac cones for each rational flux with fully explicit estimates on the cone angle. Our results give a substantially more refined description of subtleties in the de Haas–van Alphen and quantum Hall effects, and provide the first quantitative bounds on transport coefficients for the tight-binding model under disorder.

Published
2020

2. Paper-based Metamaterials: Honeycomb and Auxetic Structures

Author

Amelia Carolina Sparavigna

Subjects
Paper, Materials science, Auxetics, Corrugated cardboards, Auxetic metamaterials, Physics::Optics, Honeycomb (geometry), Metamaterial, Paper based, Honeycomb paper, Metamaterials, Auxetic, Honeycomb structures, Honeycomb lattice, Cardboards, Physics::Classical Physics, Honeycomb structure, Honeycomb cells, Auxetic structures, Composite material
Abstract

Metamaterials are engineered materials that gain their properties from the repeating patterns of their structures. Here we discuss paper-based metamaterials, with the honeycomb structure, and a possible auxetic design of them.Read Complete Article at ijSciences: V3201410597 AND DOI: http://dx.doi.org/10.18483/ijSci.597

Published
2014