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Dimensional crossover in dipolar magnetic layers

dc.contributor.authorBulenda, M.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.authorSchwabl, Franzen
dc.contributor.departmentPhysicsen
dc.date.accessioned2016-09-30T00:29:05Zen
dc.date.available2016-09-30T00:29:05Zen
dc.date.issued2000-01-14en
dc.description.abstractWe investigate the static critical behaviour of a uniaxial magnetic layer, with finite thickness <i>L</i> in one direction, yet infinitely extended in the remaining <i>d</i> dimensions. The magnetic dipole-dipole interaction is taken into account. We apply a variant of Wilson’s momentum shell renormalisation group approach to describe the crossover between the critical behaviour of the 3-D Ising, 2-d Ising, 3-D uniaxial dipolar, and the 2-d uniaxial dipolar universality classes. The corresponding renormalisation group fixed points are in addition to different effective dimensionalities characterised by distinct analytic structures of the propagator, and are consequently associated with varying upper critical dimensions. While the limiting cases can be discussed by means of dimensional ǫ expansions with respect to the appropriate upper critical dimensions, respectively, the crossover features must be addressed in terms of the renormalisation group flow trajectories at fixed dimensionality <i>d</i>.en
dc.description.versionPublished versionen
dc.format.extent1 - 21 (21) page(s)en
dc.identifier.doihttps://doi.org/10.1088/0305-4470/33/1/301en
dc.identifier.issn0305-4470en
dc.identifier.issue1en
dc.identifier.urihttp://hdl.handle.net/10919/73092en
dc.identifier.volume33en
dc.languageEnglishen
dc.publisherIOPen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000085223900004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysics, Multidisciplinaryen
dc.subjectPhysics, Mathematicalen
dc.subjectPhysicsen
dc.subjectRENORMALIZED FIELD-THEORYen
dc.subjectPHASE-TRANSITIONSen
dc.subjectCRITICAL-BEHAVIORen
dc.subjectCRITICAL EXPONENTSen
dc.subjectSYSTEMSen
dc.subjectFERROMAGNETSen
dc.titleDimensional crossover in dipolar magnetic layersen
dc.title.serialJournal of Physics A-Mathematical And Generalen
dc.typeArticle - Refereeden
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen

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