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

N. Hatano, Yoshihiro 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 - 1994
Externally publishedYes

Fingerprint

Potts model
Ising model
Acoustic wave velocity
Electron transitions
Ground state
Energy gap
Exponent
exponents
acoustic velocity
scaling
XY Model
Energy Gap
ground state
Conformal Field Theory
Potts Model
State Transition
estimates
Unknown Parameters
Ising Model
Ground State

ASJC Scopus subject areas

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

Cite this

A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta. / Hatano, N.; Nishiyama, Yoshihiro; Suzuki, M.

In: Journal of Physics A: General Physics, Vol. 27, No. 18, 017, 1994, p. 6077-6089.

Research output: Contribution to journalArticle

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