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 - Dec 1 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
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
Hatano, N., Nishiyama, Y., & Suzuki, M. (1994). A critical-amplitude relation for one-dimensional quantum transitions and determination of the exponent eta. Journal of Physics A: General Physics, 27(18), 6077-6089. [017]. https://doi.org/10.1088/0305-4470/27/18/017