Topological marker currents in Chern insulators
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Möller, G https://orcid.org/0000-0001-8986-0899
Cooper, NR https://orcid.org/0000-0002-4662-1254
Bhaseen, MJ
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.
Description
Keywords
cond-mat.str-el, cond-mat.str-el
Journal Title
Nature Physics
Conference Name
Journal ISSN
1745-2473
1745-2481
1745-2481
Volume Title
15
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/K030094/1)
Simons Foundation (511029)
Engineering and Physical Sciences Research Council (EP/P009565/1)
Simons Foundation (511029)
Engineering and Physical Sciences Research Council (EP/P009565/1)