Search for a spin glass phase in finite-dimensional spin models with random multisite interactions

H. Rieger

Physica A: Statistical Mechanics and its Applications, 1992, vol. 184, issue 3, 279-289

Abstract: We show that in several two-dimensional models with random multisite interactions a spin glass transition cannot occur, since the disorder does not lead to an extensive number of frustrated terms in the Hamiltonian. We perform preliminary Monte Carlo simulations of the (three-dimensional) fcc lattice with random 4-spin interactions among the spins on elementary tetrahedra. The results indicate that either also here a spin glass transition is absent or it is preceded by a dynamical transition, where spin-spin correlations do not decay any more on finite time scales (in the infinite system). This latter scenario would occur with the mean-field result for p-spin interaction spin glasses.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:184:y:1992:i:3:p:279-289

DOI: 10.1016/0378-4371(92)90306-B

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