English

Non-equilibrium Fractional Hall Response After a Topological Quench

Quantum Gases 2016-11-11 v2 Mesoscale and Nanoscale Physics

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 linear response, the Hall effect crosses over from fractional to integer values. We investigate finite-size effects, and the role of the harmonic confinement.

Keywords

Cite

@article{arxiv.1608.04395,
  title  = {Non-equilibrium Fractional Hall Response After a Topological Quench},
  author = {F. Nur Ünal and Erich J. Mueller and M. Ö. Oktel},
  journal= {arXiv preprint arXiv:1608.04395},
  year   = {2016}
}

Comments

Updated reference list, minor revisions