Berezinskii-Kosterlitz-Thouless transitions in the six-state clock model

Haruhiko Matsuo, Kiyohide Nomura

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A classical 2D clock model is known to have a critical phase with Berezinskii-Kosterlitz-Thouless (BKT) transitions. These transitions have logarithmic corrections which make numerical analysis difficult. In order to resolve this difficulty, one of the authors has proposed a method called 'level spectroscopy', which is based on the conformal field theory. We extend this method to the multi-degenerated case. As an example, we study the classical 2D six-clock model which can be mapped to the quantum self-dual 1D six-clock model. Additionally, we confirm that the self-dual point has a precise numerical agreement with the analytical result, and we argue the degeneracy of the excitation states at the self-dual point from the effective field theoretical point of view.

Original languageEnglish
Pages (from-to)2953-2964
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number12
DOIs
Publication statusPublished - Mar 24 2006

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clocks
Clocks
Conformal Field Theory
Degeneracy
numerical analysis
Spectroscopy
Numerical analysis
Numerical Analysis
Resolve
Logarithmic
Excitation
Model
spectroscopy
excitation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Berezinskii-Kosterlitz-Thouless transitions in the six-state clock model. / Matsuo, Haruhiko; Nomura, Kiyohide.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 12, 24.03.2006, p. 2953-2964.

Research output: Contribution to journalArticle

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