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Variational approach to the scaling function of the 2D Ising model in a magnetic field

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dc.contributor.authorMangazeev, Vladimir
dc.contributor.authorBatchelor, Murray
dc.contributor.authorBazhanov, Vladimir
dc.contributor.authorDudalev, Mikhail
dc.date.accessioned2015-12-07T22:15:08Z
dc.date.issued2009
dc.date.updated2015-12-07T07:41:39Z
dc.description.abstractThe universal scaling function of the square lattice Ising model in a magnetic field is obtained numerically via Baxter's variational corner transfer matrix approach. The high precision numerical data are in perfect agreement with the remarkable field theory results obtained by Fonseca and Zamolodchikov, as well as with many previously known exact and numerical results for the 2D Ising model. This includes excellent agreement with analytic results for the magnetic susceptibility obtained by Orrick, Nickel, Guttmann and Perk. In general, the high precision of the numerical results underlines the potential and full power of the variational corner transfer matrix approach.
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/1885/17761
dc.publisherIOP Electronic Journals
dc.sourceJournal of Physics A: Mathematical and Theoretical
dc.titleVariational approach to the scaling function of the 2D Ising model in a magnetic field
dc.typeJournal article
local.bibliographicCitation.issue042005
local.bibliographicCitation.startpage10
local.contributor.affiliationMangazeev, Vladimir, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBazhanov, Vladimir, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationDudalev, Mikhail, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMangazeev, Vladimir, u9413802
local.contributor.authoruidBatchelor, Murray, u8506863
local.contributor.authoruidBazhanov, Vladimir, u9014097
local.contributor.authoruidDudalev, Mikhail, u4364459
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010506 - Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
local.identifier.ariespublicationu4726473xPUB2
local.identifier.citationvolume42
local.identifier.doi10.1088/1751-8113/42/4/042005
local.identifier.scopusID2-s2.0-64549100615
local.identifier.thomsonID000262336400005
local.type.statusPublished Version

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