English

Zero-temperature TAP equations for the Ghatak-Sherrington model

Statistical Mechanics 2009-10-31 v1 Disordered Systems and Neural Networks

Abstract

The zero-temperature TAP equations for the spin-1 Ghatak-Sherrington model are investigated. The spin-glass energy density (ground state) is determined as a function of the anisotropy crystal field DD for a large number of spins. This allows us to locate a first-order transition between the spin-glass and paramagnetic phases within a good accuracy. The total number of solutions is also determined as a function of DD.

Keywords

Cite

@article{arxiv.cond-mat/0005029,
  title  = {Zero-temperature TAP equations for the Ghatak-Sherrington model},
  author = {F. A. da Costa and J. M. de Araujo},
  journal= {arXiv preprint arXiv:cond-mat/0005029},
  year   = {2009}
}

Comments

11 pages, 2 ps figures included

R2 v1 2026-07-22T10:02:32.505Z