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dc.contributor.authorGontier, David
dc.contributor.authorLewin, Mathieu
dc.date.accessioned2019-03-25T12:48:25Z
dc.date.available2019-03-25T12:48:25Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18561
dc.language.isoenen
dc.subjectnonlinear Hartree-Fock modelen
dc.subjectSpin symmetryen
dc.subject.ddc520en
dc.titleSpin symmetry breaking in the translation-invariant Hartree-Fock Uniform Electron Gasen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the breaking of spin symmetry for the nonlinear Hartree-Fock model describing an infinite translation-invariant interacting quantum gas (fluid phase). At zero temperature and for the Coulomb interaction in three space dimensions, we can prove the existence of a unique first order transition between a pure ferromagnetic phase at low density and a paramagnetic phase at high density. Multiple first or second order transitions can happen for other interaction potentials, as we illustrate on some examples. At positive temperature T>0 we compute numerically the phase diagram in the Coulomb case. We find the paramagnetic phase at high temperature or high density and a region where the system is ferromagnetic. We prove that the equilibrium measure is unique and paramagnetic at high temperature or high density.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages34en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01961536en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2019-02
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-03-25T12:46:32Z
hal.person.labIds60
hal.person.labIds60


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