A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta

N. Hatano, Y. Nishiyama, M. Suzuki

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A new critical-amplitude relation which holds for one-dimensional quantum ground-state transitions is presented. The relation yields an estimate of the sound velocity which appears in the conformal field theory as an a priori unknown parameter. With the use of this relation, the exponent eta can be explicitly determined from only the scaling fit of the off-critical energy gap. The relation is confirmed in the transverse Ising model, the S= 1/2 anisotropic XY model, and the three-state Potts model.

Original languageEnglish
Article number017
Pages (from-to)6077-6089
Number of pages13
JournalJournal of Physics A: General Physics
Volume27
Issue number18
DOIs
Publication statusPublished - Dec 1 1994
Externally publishedYes

ASJC Scopus subject areas

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

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