Ferromagnetic transition of a two-component Fermi gas of hard spheres

Saavedra, F. Arias de; Mazzanti, F.; Boronat, J.; Polls, A.

doi:10.1103/physreva.85.033615

Cited by 30 publications

(27 citation statements)

References 31 publications

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“…This phenomenon was first predicted for the three-dimensional homogeneous electron gas [28], and represents a long-standing topic in quantum many-body physics. It was the subject of extensive theoretical investigations for the electron gas [29][30][31][32][33][34][35], for liquid 3 He [36][37][38] and for fermionic atoms with short-range interactions [39][40][41][42][43][44][45]. The case of shortrange-interacting atoms is the closest to the textbook model of magnetism introduced by Stoner [46].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional mixture of dipolar fermions: Equation of state and magnetic phases

et al. 2019

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We study a two-component mixture of fermionic dipoles in two dimensions at zero temperature, interacting via a purely repulsive 1/r 3 potential. This model can be realized with ultracold atoms or molecules, when their dipole moments are aligned in the confinement direction orthogonal to the plane. We characterize the unpolarized mixture by means of the Diffusion Monte Carlo technique. Computing the equation of state, we identify the regime of validity for a mean-field theory based on a low-density expansion and compare our results with the hard-disk model of repulsive fermions. At high density, we address the possibility of itinerant ferromagnetism, namely whether the ground state can be fully polarized in the fluid phase. Within the fixed-node approximation, we show that the accuracy of Jastrow-Slater trial wave functions, even with the typical two-body backflow correction, is not sufficient to resolve the relevant energy differences. By making use of the iterativebackflow improved trial wave functions, we observe no signature of a fully-polarized ground state up to the freezing density. arXiv:1812.08064v2 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Two-dimensional mixture of dipolar fermions: Equation of state and magnetic phases

et al. 2019

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“…Recent progress on repulsive polarons suggests that the Stoner transition may be observable by using a narrow Feshbach resonance [9] or at low dimensions [10]. Triggered by these intriguing experimental observations, over the past few years, there has been considerable theoretical interests in Stoner ferromagnetism [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime

Liu

Huang

et al. 2016

Phys. Rev. A

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Recent advances in rapidly quenched ultracold atomic Fermi gases near a Feshbach resonance have brought about a number of interesting problems, in the context of observing the long-sought Stoner ferromagnetic phase transition. The possibility of experimentally obtaining a "quasirepulsive" regime in the upper branch of the energy spectrum due to the rapid quench is currently being debated, and the Stoner transition has mainly been investigated theoretically by using perturbation theory or at high polarization, due to the limited theoretical approaches in the strongly repulsive regime. In this work, we present a nonperturbative theoretical approach to the quasirepulsive upper branch of a Fermi gas near a broad Feshbach resonance, and we determine the finite-temperature phase diagram for the Stoner instability. Our results agree well with the known quantum Monte-Carlo simulations at zero temperature, and we recover the known virial expansion prediction at high temperature for arbitrary interaction strengths. At resonance, we find that the Stoner transition temperature becomes of the order of the Fermi temperature, around which the molecule formation rate becomes vanishingly small. This suggests a feasible way to observe Stoner ferromagnetism in the nondegenerate temperature regime.

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“…The correlation functions obtained from the procedure outlined above and the FHNC summation scheme have been extensively used to obtain upper bounds to the ground state energy of a variety of interacting manybody systems, including liquid helium [22], nuclear and neutron matter [23] and the Fermi hard-sphere system [24,25]. Within this approach, yielding remarkably accurate results, the correlation range d is treated as a variational parameter.…”

Section: B Ground State Energymentioning

confidence: 99%

“…where n 0 < (k) = θ(k F − k), the two-particle state is antisymmetrised according to |α β a = (|α β − |β α )/ √ 2, and the index σ labels the discrete quantum numbers specifying the state of a particle carrying momentum k. Equations (25) and (26) show that, as the effective interaction is diagonal in the space of the discrete quantum numbers, the self-energy does not depend on σ.…”

Section: Self-energymentioning

confidence: 99%

Effective-interaction approach to the Fermi hard-sphere system

et al. 2015

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The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a systematic comparison between the results of its application to the Fermi hard-sphere system and the predictions obtained from low-density expansions, as well as from other many-body techniques. The analysis of a variety of properties, including the ground state energy, the effective mass and the momentum distribution, shows that the effective interaction approach is quite accurate, thus suggesting that it may be employed to achieve a consistent description of the structure and dynamics of nuclear matter in the density region relevant to astrophysical applications.

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Ferromagnetic transition of a two-component Fermi gas of hard spheres

Cited by 30 publications

References 31 publications

Two-dimensional mixture of dipolar fermions: Equation of state and magnetic phases

Two-dimensional mixture of dipolar fermions: Equation of state and magnetic phases

Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime

Effective-interaction approach to the Fermi hard-sphere system

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