Search results for "Chern class"

showing 2 items of 12 documents

Invariants of equivariant algebraic vector bundles and inequalities for dominant weights

1998

Section (fiber bundle)Vector-valued differential formPure mathematicsChern classLine bundleVector bundleGeometry and TopologyPrincipal bundleTautological line bundleFrame bundleMathematicsTopology
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Haldane Model at finite temperature

2019

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 topolog…

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)
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