Nonequilibrium fractional Hall response after a topological quench

Date

2016

Authors

Ünal, F. N.
Mueller, E. J.
Oktel, M. O.

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Abstract

We theoretically study the Hall response of a lattice system following a quench where the topology of a filled band is suddenly changed. In the limit where the physics is dominated by a single Dirac cone, we find that the change in the Hall conductivity is two-thirds of the quantum of conductivity. We explore this universal behavior in the Haldane model and discuss cold-atom experiments for its observation. Beyond the linear response, the Hall effect crosses over from fractional to integer values. We investigate finite-size effects and the role of harmonic confinement.

Source Title

Physical Review A

Publisher

American Physical Society

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Published Version (Please cite this version)

Language

English