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Critical Value of the Quantum Ising Model on Star-Like Graphs
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 135, no 3, 571-583 p.Article in journal (Refereed) Published
Abstract [en]

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 junction of several copies of a"currency sign 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.

Place, publisher, year, edition, pages
2009. Vol. 135, no 3, 571-583 p.
Keyword [en]
Ising model, Random-cluster model, Critical value
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Other Physics Topics
URN: urn:nbn:se:kth:diva-32151DOI: 10.1007/s10955-009-9749-6ISI: 000266166100008ScopusID: 2-s2.0-67349200279OAI: diva2:409247
QC 20110407Available from: 2011-04-07 Created: 2011-04-07 Last updated: 2011-04-07Bibliographically approved

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Björnberg, Jakob Erik
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