Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach
Abstract
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 kFa = 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 kFa: 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 kFa = 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 kFa > 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 kFa = α. In the zero range limit,more »
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1246916
- Alternate Identifier(s):
- OSTI ID: 1556243
- Report Number(s):
- LA-UR-14-23371
Journal ID: ISSN 0003-4916; PII: S0003491614002693
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Annals of Physics
- Additional Journal Information:
- Journal Volume: 351; Journal Issue: C; Journal ID: ISSN 0003-4916
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; itinerant ferromagnetism; upper branch Fermi gas; finite range effect; ladder resummation
Citation Formats
He, Lianyi. Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach. United States: N. p., 2014.
Web. doi:10.1016/j.aop.2014.09.009.
He, Lianyi. Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach. United States. https://doi.org/10.1016/j.aop.2014.09.009
He, Lianyi. Fri .
"Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach". United States. https://doi.org/10.1016/j.aop.2014.09.009. https://www.osti.gov/servlets/purl/1246916.
@article{osti_1246916,
title = {Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe–Goldstone ladder resummation approach},
author = {He, Lianyi},
abstractNote = {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 kFa = 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 kFa: 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 kFa = 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 kFa > 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 kFa = α. In the zero range limit, there exists a narrow window (0.86< kFa < 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 kFa = α and may prevent the study of equilibrium phases and ferromagnetism of the upper branch Fermi gas.},
doi = {10.1016/j.aop.2014.09.009},
journal = {Annals of Physics},
number = C,
volume = 351,
place = {United States},
year = {Fri Sep 19 00:00:00 EDT 2014},
month = {Fri Sep 19 00:00:00 EDT 2014}
}
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Works referencing / citing this record:
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