3D Spin Glass and 2D Ferromagnetic XY Model: a Comparison

Preprint

4 July 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9707050

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 analyze 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 behavior of the XY model is fully compatible with the Kosterlitz-Thouless scenario. Finite size effects have to be dealt with by using great care in order to discern among two very different physical pictures that can look very similar if analyzed without large attention.

Keywords

All Related Versions

Version 1, 1997-07-04, ArXiv
Published version: Journal of Physics A: General Physics, 30 (21), 7337.

This publication has 0 references indexed in Scilit: