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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGontier, David
HAL ID: 11393
ORCID: 0000-0001-8648-7910
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLewin, Mathieu
HAL ID: 1466
ORCID: 0000-0002-1755-0207
dc.date.accessioned2019-09-02T11:12:40Z
dc.date.available2019-09-02T11:12:40Z
dc.date.issued2019
dc.identifier.issn1540-3459
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19623
dc.language.isoenen
dc.subjectphase diagramen
dc.subjectelectron gasen
dc.subjectHartree--Focken
dc.subject.ddc520en
dc.titleSpin symmetry breaking in the translation-invariant Hartree-Fock Uniform Electron Gasen
dc.typeArticle accepté pour publication ou publié
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 state is unique and paramagnetic at high temperature or high density.Read More: https://epubs.siam.org/doi/abs/10.1137/19M1243142en
dc.relation.isversionofjnlnameMultiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
dc.relation.isversionofjnlvol21en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2019
dc.relation.isversionofjnlpages3388–3423en
dc.relation.isversionofdoi10.1137/19M1243142en
dc.relation.isversionofjnlpublisherSIAM - Society for Industrial and Applied Mathematicsen
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-09-02T11:09:59Z
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