Disorder induced transitions in resonantly driven Floquet Topological Insulators

Abstract

We investigate the effects of disorder in Floquet topological insulators (FTIs) occurring in semiconductor quantum wells. Such FTIs are induced by resonantly driving a transition between the valence and conduction band. We show that when disorder is added, the topological nature of such FTIs persists as long as there is a mobility gap at the resonant quasi-energy. For strong enough disorder, this gap closes and all the states become localized as the system undergoes a transition to a trivial insulator. Interestingly, the effects of disorder are not necessarily adverse: we show that in the same quantum well, disorder can also induce a transition from a trivial to a topological system, thereby establishing a Floquet Topological Anderson Insulator (FTAI). We identify the conditions on the driving field necessary for observing such a transition.

18 pages, 13 figures

References in corpus (17)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Anderson Transitions
• Photovoltaic Hall effect in graphene
• Topological Anderson Insulator
• Irradiated graphene as a tunable Floquet topological insulator
• Disorder-induced Floquet Topological Insulators
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Topological Anderson Insulator in Three Dimensions
• Dissipative Floquet Topological Systems
• Modulated Floquet Topological Insulators
• Chiral Floquet Phases of Many-body Localized Bosons
• Floquet Topological Order in Interacting Systems of Bosons and Fermions
• Dynamically enriched topological orders in driven two-dimensional systems
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Disordered Chern insulator with a two step Floquet drive
• The transport properties of Floquet topological superconductors at the transition from the topological phase to the Anderson localized phase

Cited by in corpus (26)

• Photonic Topological Anderson Insulators
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Generation of higher-order topological insulators using periodic driving
• Stability of Periodically Driven Topological Phases against Disorder
• Floquet-Drude conductivity
• Effective vacua for Floquet topological phases: A numerical perspective on switch-function formalism
• Photoinduced Quantum Anomalous Hall States in the Topological Anderson Insulator
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Floating Edge Bands in the Bernevig-Hughes-Zhang model with Altermagnetism
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Disorder-induced topology in quench dynamics
• Floquet Systems with Hall Effect: Topological Properties and Phase Transitions
• Photoinduced electronic and spin properties of two-dimensional electron gases with Rashba spin-orbit coupling under perpendicular magnetic fields
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Local and energy-resolved topological invariants for Floquet systems
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation
• Quantized frequency-domain polarization of driven phases of matter
• Recent progress on disorder-induced topological phases
• Acoustic topological Anderson insulators
• Low-frequency and Moiré Floquet engineering: a review
• Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
• Universal localization-delocalization transition in chiral-symmetric Floquet drives