Critical Value of the Quantum Ising Model on Star-Like Graphs
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
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.
Ising model, Random-cluster model, Critical value
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-32151DOI: 10.1007/s10955-009-9749-6ISI: 000266166100008ScopusID: 2-s2.0-67349200279OAI: oai:DiVA.org:kth-32151DiVA: diva2:409247
QC 201104072011-04-072011-04-072011-04-07Bibliographically approved