Critical properties of S= 1/2 antiferromagnetic XXZ chain with next-nearest-neighbour interactions

K. Nomura, K. Okamoto

Research output: Contribution to journalArticlepeer-review

192 Citations (Scopus)


We investigate numerically the critical lines and the critical properties of the fluid-dimer and the Neel-dimer transitions of the S= 1/2 antiferromagnetic XXZ chain with next-nearest interactions, and we confirm that the universality class of this model belongs to the quantum sine-Gordon model, as is expected from the bosonization. The method which we use in this paper to calculate the critical lines is free from the logarithmic corrections on the Kosterlitz-Thouless (K-T)-type transition line, which have made the K-T critical point difficult to obtain. By the use of this method, it is possible to determine the K-T critical line with high precision from small size data, and to identify the universality class.

Original languageEnglish
Article number012
Pages (from-to)5773-5788
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number17
Publication statusPublished - Dec 1 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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