Effects of random biquadratic couplings in a spin-1 spin-glass model |
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| Authors: | JM de Araújo FA da Costa FD Nobre |
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| Institution: | (1) Departamento de Ciências Naturais, Universidade Estadual do Rio Grande do Norte, 59610-210 Mossoró - RN, Brazil, BR;(2) Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário, C.P. 1641, 59072-970 Natal - RN, Brazil, BR |
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| 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.
Received 18 May 1999 and Received in final form 20 October 1999 |
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| Keywords: | PACS 05 70 -a Thermodynamics - 05 70 Fh Phase transitions: general studies - 64 60 -i General studies of phase transitions |
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