Exact Solution of the Infinite-Range Quantum Mattis Model
Disordered Systems and Neural Networks
2015-06-24 v1 Statistical Mechanics
Abstract
We have solved the quantum version of the Mattis model with infinite-range interactions. A variational approach gives the exact solution for the infinite-range system, in spite of the non-commutative nature of the quantum spin components; this implies that quantum effects are not predominant in determining the macroscopic properties of the system. Nevertheless, the model has a surprisingly rich phase behaviour, exhibiting phase diagrams with tricritical, three-phase and critical end points.
Cite
@article{arxiv.cond-mat/0005125,
title = {Exact Solution of the Infinite-Range Quantum Mattis Model},
author = {P. Sollich and Hidetoshi Nishimori and A. C. C. Coolen and A. J. van der Sijs},
journal= {arXiv preprint arXiv:cond-mat/0005125},
year = {2015}
}
Comments
14 pages, 11 figures