The bulk-edge correspondence for continuous honeycomb lattices

DOI10.1080/03605302.2019.1643362zbMath1428.82009arXiv1901.06281OpenAlexW2964267668WikidataQ127489724 ScholiaQ127489724MaRDI QIDQ5239046

Alexis Drouot

Publication date: 21 October 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06281

zbMATH Keywords

Schrödinger operatorsedge statestopological insulators

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (21)

Effective mass theorems with Bloch modes crossings ⋮ Ubiquity of conical points in topological insulators ⋮ 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 ⋮ Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene ⋮ Topology in shallow-water waves: a spectral flow perspective ⋮ Robust edge modes in dislocated systems of subwavelength resonators ⋮ Magnetic slowdown of topological edge states ⋮ Semiclassical Propagation Along Curved Domain Walls ⋮ Topologically protected edge modes in one-dimensional chains of subwavelength resonators ⋮ Continuum Schrödinger operators for sharply terminated graphene-like structures ⋮ Two-dimensional time-reversal-invariant topological insulators via Fredholm theory ⋮ Microlocal analysis of the bulk-edge correspondence ⋮ Defect modes for dislocated periodic media ⋮ Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators ⋮ Dubrovin equation for periodic Dirac operator on the half-line ⋮ High Contrast Elliptic Operators in Honeycomb Structures ⋮ Honeycomb structures in magnetic fields ⋮ Mathematical theory for topological photonic materials in one dimension

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