Journal
PHYSICAL REVIEW A
Volume 94, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.94.053604
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Funding
- Scientific and Technological Research Council of Turkey (TUBITAK)
- American Physical Society via the International Research Travel Award Program
- ARO-MURI Non-Equilibrium Many-Body Dynamics [W911NF-14-1-0003]
- [NSFPHY-1508300]
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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.
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