Disorder-Induced Floquet Topological Insulators

2014/03/31 by Paraj Titum, Netanel H. Lindner, Mikael C. Rechtsman +1 · 263 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed matter physics #Floquet theory #Mathematics #Nonlinear system #Photorefractive and Nonlinear Optics #Physics #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.114.056801

published in Physical Review Letters 114(5), 056801 (American Physical Society) · Version accepted to PRL

openalex publication_date 2015/02/04 · arxiv created 2015/02/10 · arxiv updated 2015/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 wave packets on the edge of the system. We consider the optimal driving regime for experimentally observing the Floquet topological Anderson insulator, and discuss its possible realization in photonic lattices.

Citations

• Floquet-Bloch Theory and Topology in Periodically Driven Lattices
• Photovoltaic Hall effect in graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• The Quantum Spin Hall Effect: Theory and Experiment
• Non-Abelian anyons and topological quantum computation

Cited by

• Periodic table for Floquet topological insulators
• The topological Anderson insulator phase in the Kane-Mele model
• High bosonic Bott index and transport of multi-band topological magnons
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Finite volume calculation of K-theory invariants
• Topological Anderson insulators induced by random binary disorders
• Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Topological phase transitions in finite-size periodically driven translationally invariant systems
• Chiral Floquet Phases of Many-Body Localized Bosons
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Classification of topological phases in periodically driven interacting systems
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Circular edge states in photonic crystals with a Dirac node
• Disordered Chern insulator with a two-step Floquet drive
• Quantized Magnetization Density in Periodically Driven Systems

Related

• Probing disorder-driven topological phase transitions via topological edge modes with ultracold atoms in Floquet-engineered honeycomb lattices
• Effects of Disorder on a 1-D Floquet Symmetry Protected Topological Phase
• Time-periodic corner states from Floquet higher-order topology
• Successive Phase Transition in Higher-order Topological Anderson Insulators
• Periodic table for Floquet topological insulators