Commensurate-incommensurate transitions in two dimensions-a low-temperature expansion

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4 Scopus citations


The commensurate-incommensurate transition of a two-dimensional classical sine-Gordon system is studied by the equivalent one-dimensional quantum system. The latter is expanded around its classical limit, corresponding to a low-temperature expansion of the two-dimensional system. It is found that both mass and wavefunction renormalisation are required. The critical exponent for incommensurability is beta =0, but if the momentum cut-off is kept finite one obtains beta =1. The classical limit is a singular point and the results are reliable when they are not too close to the transition.

Original languageEnglish
Article number003
Pages (from-to)175-181
Number of pages7
JournalJournal of Physics C: Solid State Physics
Issue number2
StatePublished - 1 Dec 1982
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering (all)
  • Physics and Astronomy (all)


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