Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-05-01
Eur.Phys. J. B 14, 661-667 (2000)
Physics
Condensed Matter
Statistical Mechanics
16 pages plus 2 ps figures
Scientific paper
10.1007/s100510051076
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.
da Costa Francisco Alexandre
de Araujo J. M.
Nobre Fernando D.
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