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Ising Spin-Glass transition in a magnetic field outside the limit of validity of Mean-Field theory

Physical Review Letters, ISSN: 0031-9007, Vol: 103, Issue: 26, Page: 267201
2009
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The spin-glass transition in a magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance. Varying the power in this long-range model corresponds, in a one-to-one relationship, to changing the dimension in spin-glass short-range models. Evidence for a spin-glass transition in a magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension in a zero magnetic field. © 2009 The American Physical Society.

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