Topology of time-reversal invariant energy bands with adiabatic structure

DOI10.1088/1751-8121/aa82e4zbMath1375.81106arXiv1511.08994OpenAlexW2964274205MaRDI QIDQ5369376

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Publication date: 17 October 2017

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

Full work available at URL: https://arxiv.org/abs/1511.08994

zbMATH Keywords

semiclassical approximationtopological invariantsadiabatic approximationtime reversal invariancespace adiabatic

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

A new light on the FKMM invariant and its consequences ⋮ The FKMM-invariant in low dimension ⋮ The cohomological nature of the Fu-Kane-Mele invariant ⋮ Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models ⋮ Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case

Cites Work

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• Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock
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• Periodic table for topological insulators and superconductors
• Quantum boundary conditions for torus maps

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