Published September 21, 1994
| Version v1
Journal article
A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent η
Description
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)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 27
- Journal Issue
- 18
- Journal Page Range
- p. 6077-6089
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- India
- INIS RN
- 33009457
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- ANISOTROPY; CONFORMAL GROUPS; EXCITED STATES; GROUND STATES; ISING MODEL; ONE-DIMENSIONAL CALCULATIONS; SOUND WAVES; SPIN; VELOCITY
- Descriptors DEC
- ANGULAR MOMENTUM; CRYSTAL MODELS; ENERGY LEVELS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE PROPERTIES; SYMMETRY GROUPS