Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach

He, Lianyi

doi:10.1016/j.aop.2014.09.009

Title: Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach

Journal Article · Fri Sep 19 00:00:00 EDT 2014 · Annals of Physics

DOI:https://doi.org/10.1016/j.aop.2014.09.009· OSTI ID:1246916

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this study, 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 ss-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_Fa = 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_Fa: 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_Fa = α with α = 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_Fa > α 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_Fa = α. In the zero range limit, there exists a narrow window (0.86< k_Fa < 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_Fa = α and may prevent the study of equilibrium phases and ferromagnetism of the upper branch Fermi gas.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1246916

Alternate ID(s):: OSTI ID: 1556243

Report Number(s):: LA-UR-14-23371; PII: S0003491614002693

Journal Information:: Annals of Physics, Vol. 351, Issue C; ISSN 0003-4916

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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itinerant ferromagnetism
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Title: Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach

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