학술논문
Defect energy of infinite-component vector spin glasses
Document Type
Working Paper
Author
Source
Phys. Rev. E72, 036124 (2005)
Subject
Language
Abstract
We compute numerically the zero temperature defect energy, Delta E, of the vector spin glass in the limit of an infinite number of spin components m, for a range of dimensions 2 <= d <= 5. Fitting to Delta E ~ L^theta, where L is the system size, we obtain: theta = -1.54 (d=2), theta = -1.04 (d=3), theta = -0.67 (d=4) and theta = -0.37 (d=5). These results show that the lower critical dimension, d_l (the dimension where theta changes sign), is significantly higher for m=infinity than for finite m (where 2 < d_l < 3).
Comment: 4 pages, 5 figures
Comment: 4 pages, 5 figures