On critical properties of the Berry curvature in the Kitaev honeycomb model

Bernardo Spagnolo, Luca Leonforte, Davide Valenti, Angelo Carollo, Francesco Bascone, Angelo Carollo, Bernardo Spagnolo, Davide Valenti

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)094002-1-094002-15
Number of pages15
JournalJournal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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