Spin diffusion in Fermi gases

Abstract

We examine spin diffusion in a two-component homogeneous Fermi gas in the normal phase. Using a variational approach, analytical results are presented for the spin diffusion coefficient and the related spin relaxation time as a function of temperature and interaction strength. For low temperatures, strong correlation effects are included through the Landau parameters which we extract from Monte Carlo results. We show that the spin diffusion coefficient has a minimum for a temperature somewhat below the Fermi temperature with a value that approaches the quantum limit $\sim \hslash /m$ in the unitarity regime where $m$ is the particle mass. We finally derive a value for the low temperature shear viscosity in the normal phase from the Landau parameters.

9 pages, 3 figures

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Cited by in corpus (19)

• Universal Quantum Viscosity in a Unitary Fermi Gas
• Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Cooper pairing above the critical temperature in a unitary Fermi gas
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Heat and spin transport in a cold atomic Fermi gas
• Spin-Seebeck effect in a strongly interacting Fermi gas
• Spin transport in a unitary Fermi gas close to the BCS transition
• Spin Drag in Ultracold Fermi Mixtures with Repulsive Interactions
• Nonlinear spin diffusion and spin rotation in a trapped Fermi gas
• Collisionless spin dynamics in a magnetic field gradient
• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas
• A generalized Theory of Diffusion based on Kinetic Theory
• Magnonic spin current shot noise in an itinerant Fermi gas
• Spin-heat relaxation and thermo-spin diffusion in atomic Bose and Fermi gases
• Superfluid (Amplitude) Fluctuations Above $T_c$ in a Unitary Fermi Gas
• Crossover from collisionless to collisional spin dynamics of polarized fermions
• Exact perturbative expansion of the transport coefficients of a normal low-temperature Fermi gas with contact interactions