Numerical Simulations of the 4D Edwards-Anderson Spin Glass with Binary Couplings

Details Numerical Simulations of the 4D Edwards-Anderson Spin Glass with Binary Couplings Numerical Simulations of the 4D Edwards-Anderson Spin Glass with Binary Couplings

Publishing date

1999-04-21

URL

arxiv.org/abs/cond-mat/9904303v3

Journals

J. Phys. A: Math. Gen.: Volume 32 issue 43 p.7447 (1999)

Science

Physics

Field

Condensed Matter

SubField

Disordered Systems and Neural Networks

Additional info

18 pages + 17 figures, revised bibliography and minor typos. Added Journal Ref

Type

Scientific paper

Digital Object Identifier

10.1088/0305-4470/32/43/301

Abstract

We present numerical results that allow a precise determination of the transition point and of the critical exponents of the 4D Edwards-Anderson Spin Glass with binary quenched random couplings. We show that the low T phase undergoes Replica Symmetry Breaking. We obtain results on large lattices, up to a volume $V=10^4$: we use finite size scaling to show the relevance of our results in the infinite volume limit.

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