Frustration -- Exactly Solved Frustrated Models
arXiv:1912.13042
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.
58 pages, 39 figures, to appear in Frustrated Spin Systems 3rd Edition, World Scientific. arXiv admin note: substantial text overlap with arXiv:1812.04282