Ising model on a hyperbolic plane with a boundary
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 84, 032103- p.Article in journal (Refereed) Published
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.
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:umu:diva-47877DOI: 10.1103/PhysRevE.84.032103OAI: oai:DiVA.org:umu-47877DiVA: diva2:445096
FunderSwedish Research Council, 621-2008-4449