Topological Marker Currents in Chern Insulators

Caio, Marcello D, Möller, Gunnar, Cooper, Nigel R, Bhaseen, M J (2019) Topological Marker Currents in Chern Insulators. Nature Physics, 15 . pp. 257-261. E-ISSN 1745-2481. (doi:10.1038/s41567-018-0390-7)

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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 behaviour of topological phase transitions. Out of equilibrium, we show that the topological marker spreads via a flow of currents emanating from the sample boundaries, and with a bounded maximum propagation speed. We discuss the possibilities for measuring the topological marker and its flow in experiment.

Item Type: Article
DOI/Identification number: 10.1038/s41567-018-0390-7
Projects: [UNSPECIFIED] Simulating strong correlations in unconventionally ordered systems
Uncontrolled keywords: topological quantum numbers, critical exponent, finite size scaling, non-equilibrium, quantum quench, Chern number, Chern insulator, Haldane model, topological phase transition, Chern marker, Chern marker current
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 16 Dec 2018 22:53 UTC
Last Modified: 14 Jun 2019 23:00 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/70645 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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