3D spin glass and 2D ferromagneticXYmodel: a comparison
- 7 November 1997
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (21) , 7337-7347
- https://doi.org/10.1088/0305-4470/30/21/010
Abstract
We compare the probability distributions and Binder cumulants of the overlap in the 3D Ising spin glass with those of the magnetization in the ferromagnetic 2D XY model. We analyse similarities and differences. Evidence for the existence of a phase transition in the spin glass model is obtained thanks to the crossing of the Binder cumulant. We show that the behaviour of the XY model is fully compatible with the Kosterlitz - Thouless scenario. Finite-size effects have to be dealt with carefully in order to differentiate between two very different physical pictures that can look very similar.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Mean field dynamical exponents in finite-dimensional Ising spin glassJournal of Physics A: General Physics, 1997
- Equilibrium and off-equilibrium simulations of the Gaussian spin glassJournal of Physics A: General Physics, 1996
- Numerical Evidence for Spontaneously Broken Replica Symmetry in 3D Spin GlassesPhysical Review Letters, 1996
- Phase transition in the three-dimensionalIsing spin glassPhysical Review B, 1996
- Interfaces and louver critical dimension in a spin glass modelJournal de Physique I, 1994
- Monte Carlo study of the six-dimensional Ising spin glassJournal of Physics A: General Physics, 1993
- Critical behavior of the two-dimensionalXYmodelPhysical Review B, 1992
- Comparison between cluster Monte Carlo algorithms in the Ising modelPhysics Letters B, 1989
- ϵ -expansion for the critical exponents of a vector spin glassJournal of Physics A: General Physics, 1985
- Finite size scaling analysis of ising model block distribution functionsZeitschrift für Physik B Condensed Matter, 1981