Disorder-induced Floquet Topological Insulators

Abstract

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish that a disorder-induced trivial-to-topological transition indeed occurs, and characterize it by computing the disorder averaged Bott index, suitably defined for the time-dependent system. The presence of edge states in the topological state is confirmed by exact numerical time-evolution of wavepackets on the edge of the system. We consider the optimal driving regime for experimentally observing the Floquet-Anderson topological insulator, and discuss its possible realization in photonic lattices.

Version accepted to PRL

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• Terahertz driven extremely nonlinear bulk photogalvanic currents in non-resonant conditions
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• Photoninduced Weyl half-metal phase and spin filter effect from topological Dirac semimetals
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Photonic Chern insulator through homogenization of an array of particles
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• Disorder Effects in Topological States -- Brief Review of the Recent Developments
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• Off-resonant polarized light-controlled thermoelectric transport in ultrathin topological insulators
• Topological Anderson phase in quasi-periodic waveguide lattices
• Floquet topological insulator laser
• Topological Anderson insulators induced by random binary disorders
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Topology and localization of a periodically driven Kitaev model
• Disordered Chern insulator with a two step Floquet drive
• Phase transitions and scale invariance in topological Anderson insulators
• Topological pumping assisted by Bloch oscillations
• Percolating States in the Topological Anderson Insulator
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation
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• Universality in Non-Equilibrium Quantum Systems
• Low-frequency and Moiré Floquet engineering: a review
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• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal