Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance

Pilati, Sebastiano; Orso, Giuliano; Bertaina, G.

doi:10.1103/physreva.103.063314

Cited by 6 publications

(2 citation statements)

References 95 publications

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“…More recently, it has been claimed that the ferromagnetic state is effectively obtained after the observation of spin-domain inmiscibility in Fermi 6 Li around a gas parameter x = k F a 0 ≃ 1, with k F the Fermi momentum and a 0 the s-wave scattering length [7]. The theoretical study of repulsive Fermi gases, to determine the gas parameter at which the ferromagnetic transition appears, has been intense [8][9][10][11][12][13][14][15]. Itinerant ferromagnetism is predicted to happen around x ≃ 1, with the most reliable results derived from quantum Monte Carlo (QMC) simulations [9].…”

Section: Introductionmentioning

confidence: 99%

Itinerant ferromagnetism in dilute SU(N) Fermi gases

2023

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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.

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Section: Introductionmentioning

confidence: 99%

Itinerant ferromagnetism in dilute SU(N) Fermi gases

2023

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show abstract

“…More recently, it has been claimed that the ferromagnetic state is effectively obtained after the observation of spin-domain inmiscibility in Fermi 7 Li around a gas parameter x = k F a 0 1, with k F the Fermi momentum and a 0 the s-wave scattering length [7]. The theoretical study of repulsive Fermi gases, to determine the gas parameter at which the ferromagnetic transition appears, has been intense [8][9][10][11][12][13][14][15]. Itinerant ferromagnetism is predicted to happen around x 1, with the most reliable results derived from quantum Monte Carlo (QMC) simulations [9].…”

Section: Introductionmentioning

confidence: 99%

Itinerant ferromagnetism in dilute SU(N) Fermi gases

Pera¹,

Casulleras²,

Boronat³

2022

Preprint

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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.

show abstract