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

N. Hatano; Y. Nishiyama; M. Suzuki

doi:10.1088/0305-4470/27/18/017

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

N. Hatano, Y. Nishiyama, M. Suzuki

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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 language	English
Article number	017
Pages (from-to)	6077-6089
Number of pages	13
Journal	Journal of Physics A: General Physics
Volume	27
Issue number	18
DOIs	https://doi.org/10.1088/0305-4470/27/18/017
Publication status	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

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

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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.",

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AU - Suzuki, M.

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N2 - 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.

AB - 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.

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ER -

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

Abstract

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