Symmetry-enforced quantum spin Hall insulators in π-flux models

2017/03/14 by Jiaxin Wu, Wu, Jiaxin, Tin-Lun Ho +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1703.04776

openalex publication_date 2017/03/14 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We prove a Lieb-Schultz-Mattis theorem for the quantum spin Hall effect\n(QSHE) in two-dimensional \π-flux models. In the presence of time reversal,\nU(1) charge conservation and magnetic translation (with \π-flux per unit\ncell) symmetries, if a generic interacting Hamiltonian has a unique gapped\nsymmetric ground state at half filling (i.e. an odd number of electrons per\nunit cell), it can only be a QSH insulator. In other words, a trivial Mott\ninsulator is forbidden by symmetries at half filling. We further show that such\na symmetry-enforced QSHE can be realized in cold atoms, by shaking an optical\nlattice and applying a time-dependent Zeeman field.\n

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