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