Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles

Abstract

By tempered Monte Carlo simulations, an Almeida-Thouless (AT) phase-boundary line in site-diluted Ising spin systems is searched for. Spins interact only through dipolar fields and occupy a small fraction of lattice sites. The spin-glass susceptibility of these systems and of the Sherrington-Kirkpatrick model are compared. The correlation length as a function of system size and temperature is also studied. The results obtained are contrary to the existence of an AT line.

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• Numerical results for the Edwards-Anderson spin-glass model at low temperature
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• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Nonlinear and spin-glass susceptibilities of three site-diluted systems