Frustración en redes arquimedianas antiferromagnéticas

Abstract

This paper tackles the problem of studying anatically the phenomena associated to magnetic frustations for different Archimedean lattices with periodic boundary conditions, all of them in the antiferromagnetic phase. A lattice formed by N spins is considered and modeled through $\pm J$ Ising model. Antiferrogmagnetic phase is restricted to $+J$ interactions between two near-nearest neighbor spin sites. Topological parameters such as frustrated plaquettes, frustration length and energy associated to the ground level at T=0 are reported. The relative position of a triangular interaction for each lattice is as much or more important than the coordination number for the same lattice.