Frustración local en la red arquimediana (3,4,6,4)

Abstract

By means of Ising model with mixed interactions $\pm J$ to nearest neighbors and null temperature, is described the behavior of physical and topological parameters of the fundamental level associated to (3,4,6,4) lattices in notation of Grünbaum and Shephard, NL for simplicity. It is used for it, two canonical descriptions determined by distributions of probabilities $\phi$ and $\psi$ that they are established through a local analysis of frustration on a representative cell of the lattice. The results obtained for average energy per bond, average frustration segment and fraction of unfrustrated bonds in both descriptions are compared with numerical simulations based on method of multireplicas of quick descent over a set of 10000 samples randomly generated including periodic boundary conditions. It observes a good agreement between analytical and numerical results, especially at antiferromagnetic and spin glass phases.