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

Research output: Contribution to journal › Article › peer-review

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

Access to Document

10.1088/0305-4470/27/18/017

Fingerprint Dive into the research topics of 'A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta'. Together they form a unique fingerprint.

Cite this

@article{61afbd2dc8c945cc8770334e7049de7d,

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

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.",

author = "N. Hatano and Y. Nishiyama and M. Suzuki",

year = "1994",

doi = "10.1088/0305-4470/27/18/017",

language = "English",

volume = "27",

pages = "6077--6089",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "18",

}

TY - JOUR

T1 - A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta

AU - Hatano, N.

AU - Nishiyama, Y.

AU - Suzuki, M.

PY - 1994

Y1 - 1994

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.

UR - http://www.scopus.com/inward/record.url?scp=21844496578&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844496578&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/18/017

DO - 10.1088/0305-4470/27/18/017

M3 - Article

AN - SCOPUS:21844496578

VL - 27

SP - 6077

EP - 6089

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 18

M1 - 017

ER -