Anisotropic correlation length in the eight-vertex model
We investigate the directional dependence (or anisotropy) of the correlation length of the eight-vertex model by a method which introduces the shift operator into the usual transfer matrix argument. For a given x (0 < x < 1) there are two cases with respect to a parameter q. In the case 0 < q < x3, the anisotropic correlation length (ACL) is independent of q. Noting that the eight-vertex model factors into two Ising lattices in the q → x4 limit, we can directly relate the ACL to that of the square lattice Ising model. When x3 < q < x2, the ACL depends on q. Using an algebraic curve, we show that the ACL in this case is connected with that of the Ising model on a 4–8 (or Union Jack) lattice. We suggest that a wide class of models have essentially the same ACL as the eight-vertex model has.
Year of publication: |
1996
|
---|---|
Authors: | Fujimoto, Masafumi |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 233.1996, 1, p. 485-502
|
Publisher: |
Elsevier |
Subject: | Eight-vertex model | Transfer matrix | Shift operator | Correlation length | Symmetric biquadratic relation |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Analysis of a renewal batch arrival queue with a fault-tolerant server using shift operator method
Yu, Miaomiao, (2022)
-
French regional wheat prices: 1756-1872. Correlation length
BORGHERS, Eddy, (2006)
-
Fujimoto, Masafumi, (1999)
- More ...
Similar items by person
-
Fujimoto, Masafumi, (1999)
- More ...