Non-degenerated groundstates in the antiferromagnetic Ising model on triangulations
Combinatorics
2011-10-13 v1
Abstract
A triangulation is an embedding of a graph into a closed Riemann surface so that each face boundary is a 3-cycle of the graph. In this work, groundstate degeneracy in the antiferromagnetic Ising model on triangulations is studied. We show that for every fixed closed Riemann surface S, there are vertex-increasing sequences of triangulations of S with a non-degenerated groundstate. In particular, we exhibit geometrically frustrated systems with a non-degenerated groundstate.
Keywords
Cite
@article{arxiv.1110.2507,
title = {Non-degenerated groundstates in the antiferromagnetic Ising model on triangulations},
author = {Andrea Jiménez},
journal= {arXiv preprint arXiv:1110.2507},
year = {2011}
}
Comments
11 pages, 9 figures