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Continuous phase transition in a spin-glass model without time-reversal symmetry

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We investigate the phase transition in a strongly disordered short-range three-spin interaction model characterized by the absence of time-reversal symmetry in the Hamiltonian. In the mean-field limit the model is well described by the Adam-Gibbs-DiMarzio scenario for the glass transition; however, in the short-range case this picture turns out to be modified. The model presents a finite temperature continuous phase transition characterized by a divergent spin-glass susceptibility and a negative specific-heat exponent. We expect the nature of the transition in this three-spin model to be the same as the transition in the Edwards-Anderson model in a magnetic field, with the advantage that the strong crossover effects present in the latter case are absent.

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PARISI, Giorgio, PICCO, Marco, RITORT FARRAN, Fèlix. Continuous phase transition in a spin-glass model without time-reversal symmetry. _Physical Review e_. 1999. Vol. 60, núm. 1, pàgs. 58-68. [consulta: 25 de gener de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18821]

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