Absence of an equilibrium ferromagnetic spin glass phase in three dimensions

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevLett.89.267202

Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the critical value where ferromagnetic ordering sets in, and no ferromagnetic spin glass phase. This phase diagram is in conflict with the droplet/scaling and mean field theories of spin glasses. We also find that the exponents of the second order ferromagnetic transition do not depend on the microscopic Hamiltonian, suggesting universality of this transition.

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