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.

arXiv comment12 pages, 10 figures. Minor corrections

References in corpus (23)

• Large momentum part of fermions with large scattering length
• 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
• Inhomogeneous phase formation on the border of itinerant ferromagnetism
• Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study
• Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
• Stability of a Fully Magnetized Ferromagnetic state in Repulsively Interacting Ultracold Fermi Gases
• Exploring the ferromagnetic behaviour of a repulsive Fermi gas via spin dynamics
• Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
• Thermodynamics of a deeply degenerate SU($N$)-symmetric Fermi gas
• Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
• Itinerant Ferromagnetism in a polarized two-component Fermi gas
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Nonperturbative Effects on the Ferromagnetic Transition in Repulsive Fermi Gases
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Ferromagnetic transition of a two-component Fermi gas of Hard Spheres
• Collective excitations in two-dimensional SU($N$) Fermi gases with tunable spin
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• 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