Ising spin glass transition in magnetic field out of mean-field

Details Ising spin glass transition in magnetic field out of mean-field Ising spin glass transition in magnetic field out of mean-field

2008-11-20

arxiv.org/abs/0811.3435v2

Phys. Rev. Lett. 103, 267201 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 table, 6 figures, data analysis mistake corrected, new figures, new scaling approach to critical properties introdu

Scientific paper

The spin-glass transition in external 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 change the dimension in spin-glass short-range models. Evidence for a spin-glass transition in magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension at zero magnetic field.

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