Configuration space analysis for fully frustrated vector spins

Abstract

Classical vector spins, on the sites of a three-dimensional simple cubic lattice, interacting via a periodic fully frustrated array of exchange interactions, may exhibit an interesting manifold of ground state configurations. In particular, for Heisenberg spins, the manifold has dimension 5, with two continuous degeneracy parameters, in addition to global rotation angles. A configuration space analysis, including pair and triangle overlap statistics, has been performed for this test model Des spins vectoriels classiques sur les sites d'un reseau cubique simple 3D, avec une distribution periodique completement frustree d'interaction d'echange, peuvent posseder une interessante variete de configuration de base. Pour des spins de Heisenberg, la variete a la dimension 5, avec deux parametres de degenerescence continus, en plus des angles de rotation globale. Analyse d'espace de configurations en incluant l'etude statistique des recouvrements pour les paires et les triangles