Honeycomb Schrödinger Operators in the Strong Binding Regime

From MaRDI portal
Publication:4576035

DOI10.1002/cpa.21735zbMath1414.35061arXiv1610.04930OpenAlexW2536474416MaRDI QIDQ4576035

J. P. Lee-Thorp, Michael I. Weinstein, Charles L. Fefferman

Publication date: 12 July 2018

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04930




Related Items (46)

Is the continuum SSH model topological?Bistritzer–MacDonald dynamics in twisted bilayer grapheneTight-binding reduction and topological equivalence in strong magnetic fieldsContinuum limit for lattice Schrödinger operatorsEdge states in honeycomb structuresUbiquity of conical points in topological insulatorsThreeFold Weyl Points for the Schrödinger Operator with Periodic PotentialsEdge states and the valley Hall effectSubwavelength Resonances in One-Dimensional High-Contrast Acoustic MediaNonlinear dynamics of modulated waves on graphene like quantum graphsOn the Validity of the Tight-Binding Method for Describing Systems of Subwavelength ResonatorsMathematical aspects of the Kubo formula for electrical conductivity with dissipationExistence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann categoryOn the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transformDirac Points for the Honeycomb Lattice with Impenetrable ObstaclesDirac cones for a mean-field model of grapheneDiscrete honeycombs, rational edges, and edge statesHoneycomb Hubbard model at van Hove fillingEdge Modes in Subwavelength Resonators in One DimensionTopological phenomena in honeycomb Floquet metamaterialsA high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystalsTopologically protected edge modes in one-dimensional chains of subwavelength resonatorsHoneycomb-Lattice Minnaert BubblesContinuum Schrödinger operators for sharply terminated graphene-like structuresSpectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger OperatorsElliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic grapheneDiscrete Bethe-Sommerfeld conjecture for triangular, square, and hexagonal latticesWavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossingWave packet dynamics in slowly modulated photonic grapheneMicrolocal analysis of the bulk-edge correspondenceWeakly localized states for nonlinear Dirac equationsDirac Operators and Domain WallsError bounds of the finite difference time domain methods for the Dirac equation in the semiclassical regimeUniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic PotentialDefect modes for dislocated periodic mediaCharacterization of edge states in perturbed honeycomb structuresNonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulatorsEdge States for the Magnetic Laplacian in Domains with Smooth BoundaryCantor spectrum of graphene in magnetic fieldsRigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structuresHigh Contrast Elliptic Operators in Honeycomb StructuresExistence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higherThe bulk-edge correspondence for continuous dislocated systemsHoneycomb structures in magnetic fieldsEffective Gaps in Continuous Floquet HamiltoniansLower Bound on Quantum Tunneling for Strong Magnetic Fields




This page was built for publication: Honeycomb Schrödinger Operators in the Strong Binding Regime