%0 Journal Article
%T Critical Value of the Quantum Ising Model on Star-Like Graphs
%A Jakob E. Bj£¿rnberg
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s10955-009-9749-6
%X We present a rigorous determination of the critical value of the ground-state quantum Ising model in a transverse field, on a class of planar graphs which we call star-like. These include the star graph, which is a junction of several copies of Z at a single point. Our approach is to use the graphical, or FK-, representation of the model, and the probabilistic and geometric tools associated with it.
%U http://arxiv.org/abs/0812.3113v1