Itinerant ferromagnetism in dilute SU(N) Fermi gases

Abstract

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 an old result 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.

12 pages, 10 figures. Minor corrections

References in corpus (8)

• A one-dimensional liquid of fermions with tunable spin
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance

Cited by in corpus (7)

• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Beyond universality in repulsive SU(N) Fermi gases
• Third order corrections to the ground state energy of the gas of spin $s$ fermions with arbitrary densities of different spin projections
• The Huang-Yang formula for the low-density Fermi gas: upper bound
• Hydrodynamic equations for a U(N) invariant superfluid
• Multicomponent Fermi systems at low densities