TITLE:
Spin Glass Phase Exists in the Random Weak Disorder for the Villain Model
AUTHORS:
Md. Yeakub Ali, Sunil Dhar
KEYWORDS:
Spin Glass, First Excitations, Distribution, Square Lattice
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.13,
December
23,
2014
ABSTRACT: In this work we have studied non random Villain model by introducing
simple defects to calculate degeneracies of the first excited states using
Pfaffian approach through a perturbation theory. The distributions of
excitations of the ground states are displayed graphically. The results are
indicated that spin glass occurs in the weak disorder for the Villain model. At
the concentration of defect bonds p=0.03,
the distribution behaves in the same manner as for p=0.5 for different sizes of lattice. The latest result of the spin
glass is presented in this paper.