Sökning: onr:"swepub:oai:DiVA.org:umu-44393" >
Critical temperatur...
Critical temperatures of the three- and four-state Potts models on the kagome lattice
-
- Baek, Seung Ki (författare)
- Umeå universitet,Institutionen för fysik
-
- Mäkelä, Harri (författare)
- Umeå universitet,Institutionen för fysik
-
- Minnhagen, Petter (författare)
- Umeå universitet,Institutionen för fysik
-
visa fler...
-
- Kim, Beom Jun (författare)
- Department of Physics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
-
visa färre...
-
(creator_code:org_t)
- American Physical Society, 2011
- 2011
- Engelska.
-
Ingår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. - : American Physical Society. - 1063-651X .- 1095-3787. ; 83:6, s. 061104-
- Relaterad länk:
-
https://umu.diva-por... (primary) (Raw object)
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Nyckelord
- Critical phenomena (phase transitions)
- Kritiska fenomen (fasövergångar)
- teoretisk fysik
- Theoretical Physics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas