Quantum Hall network models as Floquet topological insulators

Autor:	Potter, Andrew C., Chalker, J. T., Gurarie, Victor
Rok vydání:	2020
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Strongly Correlated Electrons
Zdroj:	Phys. Rev. Lett. 125, 086601 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.125.086601
Popis:	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. Comment: 5 pages, 3 figures, v2: references added, additional discussion of related prior work
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.04058 Zobrazit plný text záznamu View this record from Arxiv