Nonequilibrium fractional Hall response after a topological quench
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. © 2016 American Physical Society.
Date Published
Journal
Physical Review A
Volume
94
Issue
5
URL
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994570937&doi=10.1103%2fPhysRevA.94.053604&partnerID=40&md5=ad71c16111ff3697fae31c4d63678ca7
DOI
10.1103/PhysRevA.94.053604
Research Area
Group (Lab)
Funding Source
W911NF-14-1-0003