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

Kiyohide Nomura, K. Okamoto

Research output: Contribution to journalArticle

176 Citations (Scopus)

Abstract

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
Volume27
Issue number17
DOIs
Publication statusPublished - 1994
Externally publishedYes

Fingerprint

Dimers
Nearest Neighbor
dimers
Line
Dimer
Interaction
Universality
critical point
interactions
Bosonization
Fluids
fluids
Critical point
Logarithmic
Calculate
Fluid
Model
Class

All Science Journal Classification (ASJC) codes

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

Cite this

Critical properties of S= 1/2 antiferromagnetic XXZ chain with next-nearest-neighbour interactions. / Nomura, Kiyohide; Okamoto, K.

In: Journal of Physics A: Mathematical and General, Vol. 27, No. 17, 012, 1994, p. 5773-5788.

Research output: Contribution to journalArticle

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