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• W2046837058 abstract "We investigate the ferromagnetic transition in repulsive Fermi gases at zero temperature with upper branch and effective range effects. Based on a general effective Lagrangian that reproduces precisely the two-body $s$-wave scattering phase shift, we obtain a nonperturbative expression of the energy density as a function of the polarization by using the Bethe-Goldstone ladder resummation. For hard sphere potential, the predicted critical gas parameter $k_{rm F}a=0.816$ and the spin susceptibility agree well with the results from fixed-node diffusion Monte Carlo calculations. In general, positive and negative effective ranges have opposite effects on the critical gas parameter $k_{rm F}a$: While a positive effective range reduces the critical gas parameter, a negative effective range increases it. For attractive potential or Feshbach resonance model, the many-body upper branch exhibits an energy maximum at $k_{rm F}a=alpha$ with $alpha=1.34$ from the Bethe-Goldstone ladder resummation, which is qualitatively consistent with experimental results. The many-body T-matrix has a positive-energy pole for $k_{rm F}a>alpha$ and it becomes impossible to distinguish the bound state and the scattering state. These positive-energy bound states become occupied and therefore the upper branch reaches an energy maximum at $k_{rm F}a=alpha$. In the zero range limit, there exists a narrow window ($0.86<k_{rm F}a<1.56$) for the ferromagnetic phase. At sufficiently large negative effective range, the ferromagnetic phase disappears. On the other hand, the appearance of positive-energy bound state resonantly enhances the two-body decay rate around $k_{rm F}a=alpha$ and may prevent the study of equilibrium phases and ferromagnetism of the upper branch Fermi gas." @default.
• W2046837058 created "2016-06-24" @default.
• W2046837058 creator A5057615418 @default.
• W2046837058 date "2014-12-01" @default.
• W2046837058 modified "2023-09-28" @default.
• W2046837058 title "Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach" @default.
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• W2046837058 doi "https://doi.org/10.1016/j.aop.2014.09.009" @default.
• W2046837058 hasPublicationYear "2014" @default.
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