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 | |
| Publication status | Published - 1994 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta
AU - Hatano, N.
AU - Nishiyama, Yoshihiro
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 Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 18
M1 - 017
ER -