No spin-glass transition in the "mobile-bond" model
Abstract
The recently introduced ``mobile-bond'' model for two-dimensional spin glasses is studied. The model is characterized by an annealing temperature T_q. On the basis of Monte Carlo simulations of small systems it has been claimed that this model exhibits a non-trivial spin-glass transition at finite temperature for small values of T_q. Here the model is studied by means of exact ground-state calculations of large systems up to N=256^2. The scaling of domain-wall energies is investigated as a function of the system size. For small values T_q<0.95 the system behaves like a (gauge-transformed) ferromagnet having a small fraction of frustrated plaquettes. For T_q>=0.95 the system behaves like the standard two-dimensional +-J spin-glass, i.e. it does NOT exhibit a phase transition at T>0.
Keywords
Cite
@article{arxiv.cond-mat/0302043,
title = {No spin-glass transition in the "mobile-bond" model},
author = {Alexander K. Hartmann},
journal= {arXiv preprint arXiv:cond-mat/0302043},
year = {2009}
}
Comments
4 pages, 5 figures, RevTex