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Transition rates for a S >= 1 spin model coupled to a d-dimensional phonon bath

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dc.contributor.authorPark, K.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:08Zen
dc.date.available2014-05-07T15:37:08Zen
dc.date.issued2008-03en
dc.description.abstractWe consider a S >= 1 spin model (or a generalized Blume-Capel model) weakly coupled to a d-dimensional phonon bath and investigate transition rates between different spin configurations. This study is motivated by understanding magnetization relaxation as a function of temperature in diverse magnetic systems such as arrays of magnetic nanoparticles and magnetic molecules. We assume that the magnetization of the spin system relaxes through consecutive emission or absorption of a single phonon. From a weak, linear spin-phonon coupling Hamiltonian, we derive transition rates that would be used to examine dynamic properties of the system in kinetic Monte Carlo simulations. Although the derived phonon-assisted transition rates satisfy detailed balance, in the case of two- and three-dimensional phonon baths, transitions between degenerate states are not allowed. ( This is a major difference of the phonon-assisted transition rates from the Metropolis and Glauber transition rates. ) Thus, if there are no alternative paths along which the spin system can relax, the relaxation time diverges. Otherwise, the system finds other paths, which leads to an increase in the relaxation time and energy barrier. However, when higher-order phonon processes are included in the transition rates, it is found that the system can reach the states which were inaccessible due to the forbidden transitions. As a result, the system recovers some of the dynamic properties obtained using the Glauber transition rate.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationPark, K., "Transition rates for a S >= 1 spin model coupled to a d-dimensional phonon bath," Phys. Rev. B 77, 104420 DOI: http://dx.doi.org/10.1103/PhysRevB.77.104420en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.77.104420en
dc.identifier.issn1098-0121en
dc.identifier.urihttp://hdl.handle.net/10919/47900en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.77.104420en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectising-modelen
dc.subjectnanoparticlesen
dc.subjectrelaxationen
dc.subjectdynamicsen
dc.subjectsystemsen
dc.subjectlatticeen
dc.subjectphysics, condensed matteren
dc.titleTransition rates for a S >= 1 spin model coupled to a d-dimensional phonon bathen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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