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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 nonequilibrium Floquet systems. The resulting Floquet bands have zero Chern number, and are instead characterized by a chiral Floquet winding number. This begs the question, How can a model without Chern number describe IQH systems? We resolve this puzzle by showing that nonzero 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 chiral Floquet topology-changing transitions share identical universal scaling properties.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevLett.125.086601

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0003-4369-6071


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
125
Issue:
8
Article number:
086601
Publication date:
2020-08-20
Acceptance date:
2020-07-31
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Keywords:
Pubs id:
1087316
Local pid:
pubs:1087316
Deposit date:
2020-09-11
ARK identifier:

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