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

Haruhiko Matsuo, Kiyohide Nomura

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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
Issue number12
Publication statusPublished - Mar 24 2006

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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