6533b820fe1ef96bd127a458

RESEARCH PRODUCT

Haldane Model at finite temperature

Alexander A. DubkovAngelo CarolloLuca LeonforteBernardo SpagnoloBernardo SpagnoloDavide Valenti

subject

Statistics and ProbabilityPhase transitionGeneralizationFOS: Physical sciencesConductivity01 natural sciences010305 fluids & plasmasCondensed Matter - Strongly Correlated ElectronsPhase (matter)0103 physical sciencesStatistical physics010306 general physicsCondensed Matter - Statistical MechanicsPhysicstopological insulatorQuantum PhysicsChern classStatistical Mechanics (cond-mat.stat-mech)Strongly Correlated Electrons (cond-mat.str-el)Topological phase of matter phase transition geometric phase quantum transportStatistical and Nonlinear PhysicsTransverse planeTopological insulatorStatistics Probability and UncertaintyQuantum Physics (quant-ph)Sign (mathematics)

description

We consider the Haldane model, a 2D topological insulator whose phase is defined by the Chern number. We study its phases as temperature varies by means of the Uhlmann number, a finite temperature generalization of the Chern number. Because of the relation between the Uhlmann number and the dynamical transverse conductivity of the system, we evaluate also the conductivity of the model. This analysis does not show any sign of a phase transition induced by the temperature, nonetheless it gives a better understanding of the fate of the topological phase with the increase of the temperature, and it provides another example of the usefulness of the Uhlmann number as a novel tool to study topological properties at finite temperature.

yearjournalcountryeditionlanguage
2019-01-01
10.1088/1742-5468/ab33f8http://arxiv.org/abs/1905.04125