Four-dimensional spin glasses in a magnetic field have a mean-field-like phase
- 1 January 1998
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (4) , 1181-1187
- https://doi.org/10.1088/0305-4470/31/4/008
Abstract
By using numerical simulations we show that the four-dimensional Edwards Anderson spin glass in magnetic field undergoes a mean-field-like phase transition. We use a dynamical approach: we simulate large lattices (of volume V) and work out the behaviour of the system in a limit where both t and V go to infinity, but where the limit is taken first. By showing that the dynamic overlap q converges to a value smaller than the static one we exhibit replica symmetry breaking. The critical exponents are compatible with those obtained by mean-field computations.Keywords
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