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Critical behavior of the Ising model on the four-dimensional cubic lattice
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2009 (English)Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the nature of the singularity of the Ising model of the four-dimensional cubic lattice. It is rigorously known that the specific heat has critical exponent alpha = 0 but a nonrigorous field-theory argument predicts an unbounded specific heat with a logarithmic singularity at T-c. We find that within the given accuracy the canonical ensemble data are consistent both with a logarithmic singularity and a bounded specific heat but that the microcanonical ensemble lends stronger support to a bounded specific heat. Our conclusion is that either much larger system sizes are needed for Monte Carlo studies of this model in four dimensions or the field-theory prediction of a logarithmic singularity is wrong.

Place, publisher, year, edition, pages
2009. Vol. 80, no 3
Keyword [en]
monte-carlo
Identifiers
URN: urn:nbn:se:kth:diva-18827DOI: 10.1103/PhysRevE.80.031104ISI: 000270383400019Scopus ID: 2-s2.0-70349488985OAI: oai:DiVA.org:kth-18827DiVA: diva2:336874
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-01-12Bibliographically approved

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