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- W2023646645 abstract "Ising spin models with multisite interactions are investigated on pure Husimi trees, which is an analogon to the Bethe approximation for these models in finite dimensions. The interaction strengths are quenched random variables and mean-field theory predicts a spin-glass transition from a paramagnetic phase to a spin-glass phase with nonvanishing Edwards-Anderson order parameter. We invesigate different kinds of distribution for the interactions at zero temperature as well as at nonvanishing temperature and the effect of external fields. We show that on the Husimi tree the mean-field scenario does not take place for small coordination numbers, not even at zero temperature, although frustration is present after fixing the boundary spins. This result concurs with the observations made by looking at several random multisite interaction models in two-dimensional lattices. In the limit of infinite coordination number the (replica-symmetric) mean-field result is recovered." @default.
- W2023646645 created "2016-06-24" @default.
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- W2023646645 date "1992-05-01" @default.
- W2023646645 modified "2023-09-23" @default.
- W2023646645 title "Disordered<i>p</i>-spin interaction models on Husimi trees" @default.
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- W2023646645 doi "https://doi.org/10.1103/physrevb.45.9772" @default.
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