Continuous bulk and interface description of topological insulators

DOI10.1063/1.5086312zbMath1435.82027arXiv1808.07908OpenAlexW3101747402WikidataQ127355313 ScholiaQ127355313MaRDI QIDQ5234049

Guillaume Bal

Publication date: 9 September 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07908

zbMATH Keywords

Fredholm operatorsDirac equationsedge statesnon-Hermitian HamiltoniansDirac pointsinterface currentshigher-dimensional topological insulators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (Semi-) Fredholm operators; index theories (47A53) Statistical mechanics of solids (82D20) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Topological charge conservation for continuous insulators, Bulk–edge correspondence for unbounded Dirac–Landau operators, Ubiquity of conical points in topological insulators, ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials, Topology in shallow-water waves: a violation of bulk-edge correspondence, Edge states and the valley Hall effect, Topological invariants for interface modes, Edge State Dynamics Along Curved Interfaces, A bulk-edge correspondence between the second Chern number and the spectral flow, Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene, Spectral localization for semimetals and Callias operators, Magnetic slowdown of topological edge states, Semiclassical Propagation Along Curved Domain Walls, Asymmetric transport computations in Dirac models of topological insulators, Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell, A bulk-interface correspondence for equatorial waves, Wave packet dynamics in slowly modulated photonic graphene, Microlocal analysis of the bulk-edge correspondence, Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential, Defect modes for dislocated periodic media, Multiscale Invariants of Floquet Topological Insulators, The bulk-edge correspondence for continuous dislocated systems, Mathematical theory for topological photonic materials in one dimension

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