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arXiv · 0812.3113

Critical Value of the Quantum Ising Model on Star-Like Graphs

Jakob E. Björnberg
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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.

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BibTeXRIS

Jakob E. Björnberg. 2008-12-16. Critical Value of the Quantum Ising Model on Star-Like Graphs. https://doi.org/10.1007/s10955-009-9749-6

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