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Ising model on a hyperbolic plane with a boundary
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Department of Physics, Sungkyunkwan University, Suwon 440-746, Republic of Korea.
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 84, 032103- p.Article in journal (Refereed) Published
Abstract [en]

A hyperbolic plane can be modeled by a structure called the enhanced binarytree. We study the ferromagnetic Ising model on top of the enhanced binarytree using the renormalization-group analysis in combination withtransfer-matrix calculations. We find a reasonable agreement with MonteCarlo calculations on the transition point, and the resulting criticalexponents suggest the mean-field surface critical behavior.

Place, publisher, year, edition, pages
American Physical Society , 2011. Vol. 84, 032103- p.
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-47877DOI: 10.1103/PhysRevE.84.032103OAI: oai:DiVA.org:umu-47877DiVA: diva2:445096
Funder
Swedish Research Council, 621-2008-4449
Available from: 2011-10-03 Created: 2011-10-02 Last updated: 2017-12-08Bibliographically approved

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Baek, Seung KiMäkelä, HarriMinnhagen, Petter
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