Change search
ReferencesLink to record
Permanent link

Direct link
Critical temperatures of the three- and four-state Potts models on the kagome lattice
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 1063-651X, E-ISSN 1095-3787, Vol. 83, no 6, 061104- p.Article in journal (Refereed) Published
Abstract [en]

The value of the internal energy per spin is independent of the strip widthfor a certain class of spin systems on two dimensional infinite strips. Itis verified that the Ising model on the kagome lattice belongs to this classthrough an exact transfer-matrix calculation of the internal energy for thetwo smallest widths. More generally, one can suggest an upper bound forthe critical coupling strength $K_c(q)$ for the $q$-state Potts model fromexact calculations of the internal energy for the two smallest stripwidths. Combining this with the corresponding calculation for the duallattice and using an exact duality relation enables us to conjecture thecritical coupling strengths for the three- and four-state Pottsmodels on the kagome lattice. The values are $K_c(q=3)=1.056~509~426~929~0$and $K_c(q=4) = 1.149~360~587~229~2$,and the values can, in principle, be obtained to an arbitrary precision. Wediscuss the fact that these values are in the middle of earlierapproximate results and furthermore differ from earlier conjecturesfor the exact values.

Place, publisher, year, edition, pages
American Physical Society , 2011. Vol. 83, no 6, 061104- p.
National Category
Condensed Matter Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:umu:diva-44393DOI: 10.1103/PhysRevE.83.061104OAI: oai:DiVA.org:umu-44393DiVA: diva2:420935
Funder
Swedish Research Council, 621-2008-4449
Available from: 2011-06-09 Created: 2011-06-07 Last updated: 2011-06-09Bibliographically approved

Open Access in DiVA

fulltext(195 kB)263 downloads
File information
File name FULLTEXT02.pdfFile size 195 kBChecksum SHA-512
c57440ef07a54cf4718ef1035891d84e9ee2e52a5a16a85c462a229b22f5a87c4d875383d9572f20daa5ee8596a03fcd1f86fa6e199da5d572a2987fb06996db
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Baek, Seung KiMäkelä, HarriMinnhagen, Petter
By organisation
Department of Physics
In the same journal
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar
Total: 263 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 77 hits
ReferencesLink to record
Permanent link

Direct link