Stepwise Positional-Orientational Order and the Multicritical-Multistructural Global Phase Diagram of the s=3/2 Ising Model From Renormalization-Group Theory

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dc.citation.epage9en_US
dc.citation.issueNumber6en_US
dc.citation.spage1en_US
dc.citation.volumeNumber93en_US
dc.contributor.authorYunus, Ç.en_US
dc.contributor.authorRenklioǧlu, B.en_US
dc.contributor.authorKeskin, M.en_US
dc.contributor.authorBerker, A. N.en_US
dc.date.accessioned2018-04-12T10:43:37Z
dc.date.available2018-04-12T10:43:37Z
dc.date.issued2016en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractThe spin-32 Ising model, with nearest-neighbor interactions only, is the prototypical system with two different ordering species, with concentrations regulated by a chemical potential. Its global phase diagram, obtained in d=3 by renormalization-group theory in the Migdal-Kadanoff approximation or equivalently as an exact solution of a d=3 hierarchical lattice, with flows subtended by 40 different fixed points, presents a very rich structure containing eight different ordered and disordered phases, with more than 14 different types of phase diagrams in temperature and chemical potential. It exhibits phases with orientational and/or positional order. It also exhibits quintuple phase transition reentrances. Universality of critical exponents is conserved across different renormalization-group flow basins via redundant fixed points. One of the phase diagrams contains a plastic crystal sequence, with positional and orientational ordering encountered consecutively as temperature is lowered. The global phase diagram also contains double critical points, first-order and critical lines between two ordered phases, critical end points, usual and unusual (inverted) bicritical points, tricritical points, multiple tetracritical points, and zero-temperature criticality and bicriticality. The four-state Potts permutation-symmetric subspace is contained in this model.en_US
dc.description.provenanceMade available in DSpace on 2018-04-12T10:43:37Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2016en
dc.identifier.doi10.1103/PhysRevE.93.062113en_US
dc.identifier.issn2470-0045
dc.identifier.urihttp://hdl.handle.net/11693/36539
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevE.93.062113en_US
dc.source.titlePhysical Review Een_US
dc.subjectChemical potentialen_US
dc.subjectGroup theoryen_US
dc.subjectIsing modelen_US
dc.subjectLattice theoryen_US
dc.subjectStatistical mechanicsen_US
dc.subjectDouble critical pointen_US
dc.subjectGlobal phase diagramsen_US
dc.subjectMigdal-Kadanoff approximationen_US
dc.subjectNearest-neighbor interactionsen_US
dc.subjectOrientational orderingsen_US
dc.subjectRenormalization groupen_US
dc.subjectRenormalization group theoryen_US
dc.subjectTetracritical pointsen_US
dc.subjectPhase diagramsen_US
dc.titleStepwise Positional-Orientational Order and the Multicritical-Multistructural Global Phase Diagram of the s=3/2 Ising Model From Renormalization-Group Theoryen_US
dc.typeArticleen_US

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