Itinerant ferromagnetism in dilute SU(N) Fermi gases

We present exact analytic results for the energy of a SU(N) repulsive Fermi gas as a function of the spin-channel occupation at second order in the gas parameter. This is an extension of previous results that now incorporates the degree of polarization of the system. Therefore, the magnetic properti...

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Detalles Bibliográficos
Autores: Pera i Ferreruela, Jordi|||0000-0002-9313-9073, Casulleras Ambrós, Joaquín|||0000-0001-6612-4442, Boronat Medico, Jordi|||0000-0002-0273-3457
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/387821
Acceso en línea:https://hdl.handle.net/2117/387821
https://dx.doi.org/10.21468/SciPostPhys.14.3.038
Access Level:acceso abierto
Palabra clave:Electron gas
Electrons -- Polarization
Gas d'electrons
Electrons -- Polarització
Àrees temàtiques de la UPC::Física
Descripción
Sumario:We present exact analytic results for the energy of a SU(N) repulsive Fermi gas as a function of the spin-channel occupation at second order in the gas parameter. This is an extension of previous results that now incorporates the degree of polarization of the system. Therefore, the magnetic properties of the gas can be obtained, free from numerical uncertainties. For spin 1/2 we find that second-order corrections change the itinerant ferromagnetic transition from continuous to first-order. Instead, for spin larger than 1/2 the phase transition is always of first-order type. The transition critical density reduces when the spin increases, making the phase transition more accessible to experiments with ultracold dilute Fermi gases. Estimations for Fermi gases of Yb and Sr with spin 5/2 and 9/2, respectively, are reported.