6533b82dfe1ef96bd129132f
RESEARCH PRODUCT
Uhlmann number in translational invariant systems
Luca LeonforteDavide ValentiBernardo SpagnoloBernardo SpagnoloAngelo Carollosubject
0301 basic medicineSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciMathematics::Analysis of PDEsFOS: Physical scienceslcsh:MedicineCurvatureArticleCondensed Matter - Strongly Correlated Electrons03 medical and health sciences0302 clinical medicineTopological insulatorsInvariant (mathematics)lcsh:ScienceCondensed Matter - Statistical MechanicsMathematicsMathematical physicsPhysical quantityQuantum PhysicsMultidisciplinaryChern classStatistical Mechanics (cond-mat.stat-mech)Strongly Correlated Electrons (cond-mat.str-el)lcsh:RUhlmann number Chern number 2D topological Fermionic systems finite temperature dynamical susceptibility dynamical conductivity030104 developmental biologylcsh:QQuantum Physics (quant-ph)Theoretical physicsLinear response theory030217 neurology & neurosurgerydescription
We define the Uhlmann number as an extension of the Chern number, and we use this quantity to describe the topology of 2D translational invariant Fermionic systems at finite temperature. We consider two paradigmatic systems and we study the changes in their topology through the Uhlmann number. Through the linear response theory we linked two geometrical quantities of the system, the mean Uhlmann curvature and the Uhlmann number, to directly measurable physical quantities, i.e. the dynamical susceptibility and to the dynamical conductivity, respectively.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-06-01 | Scientific Reports |