Publication:
Tensor renormalization group: local magnetizations, correlation functions, and phase diagrams of systems with quenched randomness

dc.contributor.coauthorHinczewski, Michael
dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorBerker, Ahmet Nihat
dc.contributor.kuauthorGüven, Can
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:13:19Z
dc.date.issued2010
dc.description.abstractThe tensor renormalization-group method, developed by Levin and Nave, brings systematic improvability to the position-space renormalization-group method and yields essentially exact results for phase diagrams and entire thermodynamic functions. The method, previously used on systems with no quenched randomness, is extended in this study to systems with quenched randomness. Local magnetizations and correlation functions as a function of spin separation are calculated as tensor products subject to renormalization-group transformation. Phase diagrams are extracted from the long-distance behavior of the correlation functions. The approach is illustrated with the quenched bond-diluted Ising model on the triangular lattice. An accurate phase diagram is obtained in temperature and bond-dilution probability for the entire temperature range down to the percolation threshold at zero temperature.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue5
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipAlexander von Humboldt Foundation
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipAcademy of Sciences of Turkey
dc.description.versionPublisher version
dc.description.volume82
dc.identifier.doi10.1103/PhysRevE.82.051110
dc.identifier.eissn1550-2376
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00799
dc.identifier.issn1539-3755
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-78651353749
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1228
dc.identifier.wos283926300001
dc.keywordsSpin systems
dc.keywordsHierarchical lattices
dc.keywordsOrder-parameter
dc.keywordsDimensions
dc.keywordsModels
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/802
dc.subjectPhysics
dc.subjectMathematical physics
dc.titleTensor renormalization group: local magnetizations, correlation functions, and phase diagrams of systems with quenched randomness
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGüven, Can
local.contributor.kuauthorBerker, Ahmet Nihat
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
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