Quantized single-particle Thouless pump induced by topology transfer from a Chern insulator at finite temperature

• URL: http://arxiv.org/abs/2110.12280v1
• Date: Sat, 23 Oct 2021 19:22:27 GMT
• Title: Quantized single-particle Thouless pump induced by topology transfer from a Chern insulator at finite temperature
• Authors: Lukas Wawer, Razmik Unanyan, Michael Fleischhauer
• Abstract summary: Quantized particle or spin transport upon cyclic parameter variations is a key signature of Chern insulators in the ground state. We show that a coupling of a one-dimensional Chern insulator at arbitrary finite temperature to an auxiliary lattice can induce quantized transport determined by the finite-temperature invariant.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantized particle or spin transport upon cyclic parameter variations, determined by topological invariants, is a key signature of Chern insulators in the ground state. While measurable many-body observables exist that preserve the integrity of topological invariants also at finite temperature, quantized transport is generically lost. We here show that a coupling of a one-dimensional Chern insulator at arbitrary finite temperature to an auxiliary lattice can induce quantized transport determined by the finite-temperature invariant. We show for the example of a Rice-Mele model that the spatial distribution of a single particle in the auxiliary chain moves by a quantized number of unit cells in a Thouless cycle when subtracting a spatially homogeneous offset even at a temperature exceeding the band gap.

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