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.
Cited by 2
Chankowski et al., Third-order corrections to the ground-state energy of the gas of spin-
fermions with arbitrary densities of different spin projections
Phys. Rev. A 107, 063311 (2023) [Crossref]
Bertaina et al., Quantum Monte Carlo study of the role of
-wave interactions in ultracold repulsive Fermi gases
Phys. Rev. A 107, 053305 (2023) [Crossref]
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Jordi Pera,
- 1 Joaquim Casulleras,
- 1 Jordi Boronat