Frustration -- Exactly Solved Frustrated Models

H. T. Diep; H. Giacomini

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arXiv · 1912.13042

Frustration -- Exactly Solved Frustrated Models

H. T. Diep·H. Giacomini

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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.

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H. T. Diep, H. Giacomini. 2019-12-25. Frustration -- Exactly Solved Frustrated Models. https://arxiv.org/abs/1912.13042

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