Statistical transfer matrix of a spin-glass ladder

Citation
Dc. Mattis et P. Paul, Statistical transfer matrix of a spin-glass ladder, PHYS REV L, 83(18), 1999, pp. 3733-3736
Citations number
11
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
83
Issue
18
Year of publication
1999
Pages
3733 - 3736
Database
ISI
SICI code
0031-9007(19991101)83:18<3733:STMOAS>2.0.ZU;2-D
Abstract
This work concerns the Edwards-Anderson Ising model of a spin ladder, in wh ich random bonds +/-J connect nearest-neighbor Ising spins. We calculate th e exact free energy of the quenched, frustrated, spin-glass-like ladder as an integral over a probability distribution P(x), the eigenfunction of a st atistical transfer matrix. Our approach takes advantage of the statistical homogeneity of the spin glass.