Ünal, F. N.Mueller, E. J.Oktel, M. O.2018-04-122018-04-1220162469-9926http://hdl.handle.net/11693/36557We 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.EnglishMathematical modelsPhysicsFinite size effectHall conductivityHarmonic confinementInteger valuesLinear responsenocv1Non equilibriumSingle Dirac conesUniversal behaviorsTopologyNonequilibrium fractional Hall response after a topological quenchArticle10.1103/PhysRevA.94.053604