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.
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Received 18 May 1999 and Received in final form 20 October 1999
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de Araújo, J., da Costa, F. & Nobre, F. Effects of random biquadratic couplings in a spin-1 spin-glass model. Eur. Phys. J. B 14, 661–667 (2000). https://doi.org/10.1007/s100510051076
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DOI: https://doi.org/10.1007/s100510051076