FRUSTRATION - EXACTLY SOLVED FRUSTRATED MODELS

H. T. Diep (1) , H. Giacomini (2)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 LMPT - Laboratoire de Mathématiques et Physique Théorique

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. http://www.worldscibooks.com/phy_etextbook/5697/5697_chap1.pdf

Mots clés: Frustration; Exactly Solved Ising Models; Reentrance; Phase Transition; Partial Disorder; Disorder Lines

Domaines: Mécanique statistique [cond-mat.stat-mech]

H. T. Diep, H. Giacomini. FRUSTRATION - EXACTLY SOLVED FRUSTRATED MODELS. H. T. Diep. FRUSTRATED SPIN SYSTEMS, World Scientific, pp.1-59, 2005. ⟨hal-00184812⟩