Tight-binding reduction and topological equivalence in strong magnetic fields

DOI10.1016/j.aim.2022.108343zbMath1492.35339arXiv2010.12097OpenAlexW3094207574MaRDI QIDQ2143651

Yanyan Li

Publication date: 31 May 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12097

zbMATH Keywords

discrete modelscontinuum modelstopological indicestopological insulatorstight bindinginteger quantum Hall effect

Mathematics Subject Classification ID

Atomic physics (81V45) 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) PDEs in connection with statistical mechanics (35Q82)

Related Items

Is the continuum SSH model topological?, Bistritzer–MacDonald dynamics in twisted bilayer graphene, Mathematical aspects of the Kubo formula for electrical conductivity with dissipation, Stable defect states in the continuous spectrum of bilayer graphene with magnetic field, On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform, Fredholm homotopies for strongly-disordered 2D insulators, Discrete honeycombs, rational edges, and edge states

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