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The Ising model for the bcc, fcc and diamond lattices: A comparison
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.ORCID iD: 0000-0002-2076-5911
2009 (English)In: Philosophical Magazine, ISSN 1478-6435, E-ISSN 1478-6443, Vol. 89, no 22-24, 2009-2042 p.Article in journal (Refereed) Published
Abstract [en]

A large-scale Monte Carlo simulation study of the Ising model for the simple cubic lattice was recently performed by us. In this paper, we complement that study with the bcc, fcc and diamond lattices. Both the canonical and microcanonical ensembles are employed. We give estimates of the critical temperature and also other quantities in the critical region. An analysis of the critical behaviour points to distinct high-and low-temperature exponents, especially for the specific heat, as was also obtained for the simple cubic lattice, although the agreement is good between the different lattices. The source of this discrepancy is briefly discussed.

Place, publisher, year, edition, pages
2009. Vol. 89, no 22-24, 2009-2042 p.
Keyword [en]
Ising model, phase transition, scaling, monte-carlo, critical exponents, coupling-constant, renormalization, temperature, transition
Identifiers
URN: urn:nbn:se:kth:diva-18653DOI: 10.1080/14786430802680512ISI: 000268606800022Scopus ID: 2-s2.0-71949122403OAI: oai:DiVA.org:kth-18653DiVA: diva2:336700
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Rosengren, Anders

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