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

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

Risultato della ricerca: Article

1 Citazione (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)094002-1-094002-15
Numero di pagine15
RivistaJournal of Statistical Mechanics: Theory and Experiment
Volume2019
Stato di pubblicazionePublished - 2019

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Honeycomb
Curvature
curvature
Time Reversal
Vanish
Criticality
transition points
Critical Behavior
Symmetry Breaking
Model
Ground State
Parameter Space
Vortex
broken symmetry
Sector
Phase Transition
sectors
Singularity
vortices
Perturbation

All Science Journal Classification (ASJC) codes

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

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On critical properties of the Berry curvature in the Kitaev honeycomb model. / Leonforte, Luca; Valenti, Davide; Carollo, Angelo; Spagnolo, Bernardo; Bascone, Francesco; Carollo, Angelo; Spagnolo, Bernardo; Valenti, Davide.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, 2019, pag. 094002-1-094002-15.

Risultato della ricerca: Article

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AU - Valenti, Davide

AU - Carollo, Angelo

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AU - Bascone, Francesco

AU - Carollo, Angelo

AU - Spagnolo, Bernardo

AU - Valenti, Davide

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