Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model

N. Defenu, V. Bacsó, I. G. Márián, I. Nándori, A. Trombettoni

Research output: Contribution to journalArticle

Abstract

We introduce and study the properties of a periodic model interpolating between the sine-And the sinh-Gordon theories in 1 + 1 dimensions. This model shows the peculiarities, due to the preservation of the functional form of their potential across RG flows, of the two limiting cases: The sine-Gordon, not having conventional order/magnetization at finite temperature, but exhibiting Berezinskii-Kosterlitz-Thouless (BKT) transition; and the sinh-Gordon, not having a phase transition, but being integrable. The considered interpolation, which we term as sn-Gordon model, is performed with potentials written in terms of Jacobi functions. The critical properties of the sn-Gordon theory are discussed by a renormalization-group approach. The critical points, except the sinh-Gordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given.

Original languageEnglish
Article number345002
JournalJournal of Physics A: Mathematical and Theoretical
Volume52
Issue number34
DOIs
Publication statusPublished - Aug 1 2019

Fingerprint

Criticality
Finite Temperature
Magnetization
Jacobi
Renormalization Group
Preservation
interpolation
Critical point
critical point
Interpolation
Modulus
Phase Transition
Limiting
Phase transitions
Interpolate
Model
magnetization
Term
Temperature
temperature

Keywords

  • general studies of phase transitions
  • phase transitions: general studies
  • renormalization group evolution of parameters
  • renormalization group methods

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model. / Defenu, N.; Bacsó, V.; Márián, I. G.; Nándori, I.; Trombettoni, A.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 52, No. 34, 345002, 01.08.2019.

Research output: Contribution to journalArticle

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