Chiral Flow in One-dimensional Floquet Topological Insulators
| Autor: | Xu Liu, Rahul Roy, Fenner Harper |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Floquet theory Chiral symmetry Strongly Correlated Electrons (cond-mat.str-el) FOS: Physical sciences 01 natural sciences Particle transport 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons Theoretical physics Topological insulator 0103 physical sciences Topological invariants Invariant (mathematics) 010306 general physics |
| DOI: | 10.48550/arxiv.1806.00026 |
| Popis: | We propose a bulk topological invariant for one-dimensional Floquet systems with chiral symmetry which quantifies the particle transport on each sublattice during the evolution. This chiral flow is physically motivated, locally computable, and improves on existing topological invariants by being applicable to systems with disorder. We derive a bulk-edge correspondence which relates the chiral flow to the number of protected dynamical edge modes present on a boundary at the end of the evolution. In the process, we introduce two real-space edge invariants which classify the dynamical topological boundary behavior at various points during the evolution. Our results provide the first explicit bulk-boundary correspondence for Floquet systems in this symmetry class. Comment: 16 pages, 8 figures |
| Databáze: | OpenAIRE |
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