Effects of Random Biquadratic Couplings in a Spin-1 Spin-Glass Model
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Abstract
A spin-1 model, appropriated to study the competition between bilinear (J_{ij}S_{i}S_{j}) and biquadratic (K_{ij}S_{i}^{2}S_{j}^{2}) random interactions, both of them with zero mean, is investigated. The interactions are infinite-ranged and the replica method is employed. Within the replica-symmetric assumption, the system presents two phases, namely, paramagnetic and spin-glass, separated by a continuous transition line. The stability analysis of the replica-symmetric solution yields, besides the usual instability associated with the spin-glass ordering, a new phase due to the random biquadratic couplings between the spins.
Keywords
Cite
@article{arxiv.cond-mat/0005020,
title = {Effects of Random Biquadratic Couplings in a Spin-1 Spin-Glass Model},
author = {J. M. de Araujo and F. A. da Costa and F. D. Nobre},
journal= {arXiv preprint arXiv:cond-mat/0005020},
year = {2009}
}
Comments
16 pages plus 2 ps figures