Quantum Hall network models as Floquet topological insulators

Abstract

Network models for equilibrium integer quantum Hall (IQH) transitions are described by unitary scattering matrices, that can also be viewed as representing non-equilibrium Floquet systems. The resulting Floquet bands have zero Chern number, and are instead characterized by a chiral Floquet (CF) winding number. This begs the question: How can a model without Chern number describe IQH systems? We resolve this apparent paradox by showing that non-zero Chern number is recovered from the network model via the energy dependence of network model scattering parameters. This relationship shows that, despite their topologically distinct origins, IQH and CF topology-changing transitions share identical universal scaling properties.

5 pages, 3 figures, v2: references added, additional discussion of related prior work

References in corpus (5)

• Topological characterization of periodically-driven quantum systems
• Chiral Floquet Phases of Many-body Localized Bosons
• Marginal Anderson localization and many body delocalization
• Topological chiral modes in random scattering networks
• Quantum Hall criticality in Floquet topological insulators

Cited by in corpus (7)

• Network model for periodically strained graphene
• Effective Floquet model for minimally twisted bilayer graphene
• Extended critical phase in quasiperiodic quantum Hall systems
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Network model for magnetic higher-order topological phases
• Tunable Topological Phases in Quantum Kirigamis
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces