Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators

Markus Schmitt; Pei Wang

doi:10.1103/physrevb.96.054306

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arXiv · 1703.01113

Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators

Markus Schmitt·Pei Wang

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Abstract

We study the Hall conductance in a Floquet topological insulator in the long time limit after sudden switches of the driving amplitude. Based on a high frequency expansion of the effective Hamiltonian and the micromotion operator we demonstrate that the Hall conductance as function of the driving amplitude follows universal non-analytic laws close to phase transitions that are related to conic gap closing points, namely a logarithmic divergence for gapped initial states and jumps of a definite height for gapless initial states. This constitutes a generalization of the results known for the static systems to the driven case.

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Markus Schmitt, Pei Wang. 2017-03-03. Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators. https://doi.org/10.1103/physrevb.96.054306

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