Numerical simulations of the four-dimensional Edwards-Anderson spin glass with binary couplings
Open Access
- 13 October 1999
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 32 (43) , 7447-7461
- https://doi.org/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 four-dimensional Edwards-Anderson spin glass with binary quenched random couplings. We show that the low-temperature phase undergoes replica symmetry breaking. We obtain results on large lattices, up to a volume V = 104: we use finite-size scaling to show the relevance of our results in the infinite volume limit.Keywords
All Related Versions
This publication has 18 references indexed in Scilit:
- Critical exponents in Ising spin glassesPhysical Review B, 1997
- Equilibrium and off-equilibrium simulations of the Gaussian spin glassJournal of Physics A: General Physics, 1996
- Exchange Monte Carlo Method and Application to Spin Glass SimulationsJournal of the Physics Society Japan, 1996
- Monte carlo study of the interacting self-avoiding walk model in three dimensionsJournal of Statistical Physics, 1996
- Four-dimensional Ising spin glass: scaling within the spin-glass phaseJournal of Physics A: General Physics, 1993
- Replica symmetry breaking in four-dimensional spin glassesJournal of Physics A: General Physics, 1993
- Numerical Evidence of a Critical Line in the 4 d Ising Spin GlassEurophysics Letters, 1993
- Simulated Tempering: A New Monte Carlo SchemeEurophysics Letters, 1992
- Monte Carlo study of the order-parameter distribution in the four-dimensional Ising spin glassPhysical Review Letters, 1990
- Numerical studies of Ising spin glasses in two, three, and four dimensionsPhysical Review B, 1988