6533b7d5fe1ef96bd12647dd
RESEARCH PRODUCT
On critical properties of the Berry curvature in the Kitaev honeycomb model
Francesco BasconeDavide ValentiLuca LeonforteAngelo CarolloBernardo SpagnoloBernardo Spagnolosubject
Statistics and ProbabilityQuantum phase transitionPhysicsCondensed matter physicsHoneycomb (geometry)Statistical and Nonlinear PhysicsBerry connection and curvatureStatistics Probability and UncertaintyTopological phases of Matter geometric phase phase transition anyons and fractional statistical models quantum phase transitionsdescription
We analyse the Kitaev honeycomb model, by means of the Berry curvature with respect to Hamiltonian parameters. We concentrate on the ground-state vortex-free sector, which allows us to exploit an appropriate Fermionisation technique. The parameter space includes a time-reversal breaking term which provides an analytical headway to study the curvature in phases in which it would otherwise vanish. The curvature is then analysed in the limit in which the time-reversal-symmetry-breaking perturbation vanishes. This provides remarkable information about the topological phase transitions of the model. The Berry curvature in itself exhibits no singularities at criticality, nevertheless it distinguishes different phases by showing different behaviours. In particular, the analysis of the first derivative shows a critical behaviour around the transition point.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-09-02 | Journal of Statistical Mechanics: Theory and Experiment |