Transport in p-wave-interacting Fermi gases

Year: 2023

Authors: Maki J., Enss T.

Autors Affiliation: Univ Hong Kong, Dept Phys, Hong Kong, Peoples R China; Univ Hong Kong, Joint Inst Theoret & Computat Phys, HKU, UCAS, Hong Kong, Peoples R China; Univ Trento, Pitaevskii BEC Ctr, INO, CNR, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany.

Abstract: The scattering properties of spin-polarized Fermi gases are dominated by p-wave interactions. Besides their inherent angular dependence, these interactions differ from their s-wave counterparts as they also require the presence of a finite effective range in order to understand the low-energy properties of the system. In this article we examine how the shear viscosity and thermal conductivity of a three-dimensional spin-polarized Fermi gas in the normal phase depend on the effective range and the scattering volume in both the weakly and the strongly interacting limits. We show that, although the shear viscosity and the thermal conductivity both explicitly depend on the effective range near resonance, the Prandtl number which parametrizes the ratio of momentum to thermal diffusivity does not have an explicit interaction dependence both at resonance and for weak interactions in the low-energy limit. In contrast to s-wave systems, p-wave scattering exhibits an additional resonance at weak attraction from a quasi-bound state at positive energies, which leads to a pronounced dip in the shear viscosity at specific temperatures.

Journal/Review: PHYSICAL REVIEW A

Volume: 107 (2)      Pages from: 23317-1  to: 23317-11

More Information: This work is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), under Project-ID 273811115 (SFB1225 ISOQUANT) and under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster), as well as by HK GRF 17304820, 17304719, and 17305218 and CRF C6009-20G and C7012-21G. The authors would like to thank Shizhong Zhang for useful discussions.
KeyWords: Electron gas; Fermions; Prandtl number; Seismic waves; Shear waves; Spin polarization; Angular dependence; Effective range; Energy property; Fermi gas; Lower energies; P waves; P-Wave interactions; S-waves; Scattering property; Spin-polarized; Shear viscosity
DOI: 10.1103/PhysRevA.107.023317

Citations: 3
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