Frustration -- Exactly Solved Frustrated Models
Statistical Mechanics
2020-01-01 v1 Strongly Correlated Electrons
Abstract
After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the spectacular effects due to the frustration: high ground-state degeneracy, existence of several phases in the ground-state phase diagram, multiple phase transitions with increasing temperature, reentrance, disorder lines, partial disorder at equilibrium. Evidences of such effects in non solvable models are also shown and discussed.
Cite
@article{arxiv.1912.13042,
title = {Frustration -- Exactly Solved Frustrated Models},
author = {H. T. Diep and H. Giacomini},
journal= {arXiv preprint arXiv:1912.13042},
year = {2020}
}
Comments
58 pages, 39 figures, to appear in Frustrated Spin Systems 3rd Edition, World Scientific. arXiv admin note: substantial text overlap with arXiv:1812.04282