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

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.

17 pages, 5 figures; added discussion of partially filled bands as initial states and effect of weak disorder

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Cited by in corpus (4)

• Tracing the nonequilibrium topological state of Chern insulators
• Quench Dynamics and Hall Response of Interacting Chern Insulators
• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet