Critical Value of the Quantum Ising Model on Star-Like Graphs
Probability
2015-05-13 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0812.3113,
title = {Critical Value of the Quantum Ising Model on Star-Like Graphs},
author = {Jakob E. Björnberg},
journal= {arXiv preprint arXiv:0812.3113},
year = {2015}
}
Comments
12 pages, 7 figures