Topological marker currents in Chern insulators
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Publication Date
2019-03Journal Title
Nature Physics
ISSN
1745-2473
Publisher
Springer Science and Business Media LLC
Volume
15
Issue
3
Pages
257-261
Type
Article
This Version
AM
Metadata
Show full item recordCitation
Caio, M., Möller, G., Cooper, N., & Bhaseen, M. (2019). Topological marker currents in Chern insulators. Nature Physics, 15 (3), 257-261. https://doi.org/10.1038/s41567-018-0390-7
Abstract
Topological states of matter exhibit many novel properties due to the
presence of robust topological invariants such as the Chern index. These global
characteristics pertain to the system as a whole and are not locally defined.
However, local topological markers can distinguish between topological phases,
and they can vary in space. In equilibrium, we show that the topological marker
can be used to extract the critical behavior of topological phase transitions.
Out of equilibrium, we show that the topological marker spreads via a flow of
currents, with a bounded maximum propagation speed. We discuss the
possibilities for measuring the topological marker and its flow in experiment.
Sponsorship
Engineering and Physical Sciences Research Council (EP/K030094/1)
Simons Foundation (511029)
Engineering and Physical Sciences Research Council (EP/P009565/1)
Identifiers
External DOI: https://doi.org/10.1038/s41567-018-0390-7
This record's URL: https://www.repository.cam.ac.uk/handle/1810/290201
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Licence:
http://www.rioxx.net/licenses/all-rights-reserved
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