Quantum critical transport in the unitary Fermi gas
arXiv:1204.1980 · doi:10.1103/PhysRevA.86.013616
Abstract
The thermodynamic and transport properties of the unitary Fermi gas at finite temperature T are governed by a quantum critical point at T=0 and zero density. We compute the universal shear viscosity to entropy ratio η/s in the high-temperature quantum critical regime T>>|μ| and find that this strongly coupled quantum fluid comes close to perfect fluidity η/s=\hbar/(4πk_B). Using a controlled large-N expansion we show that already at the first non-trivial order the equation of state and the Tan contact density C agree well with the most recent experimental measurements and theoretical Luttinger-Ward and Bold Diagrammatic Monte Carlo calculations.
9 pages, 1 figure
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- Observation of the Leggett-Rice effect in a unitary Fermi gas
- Shear viscosity and spin diffusion in a two-dimensional Fermi gas
- Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
- Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover
- Second order fluid dynamics for the unitary Fermi gas from kinetic theory
- Shear viscosity and spin sum rules in strongly interacting Fermi gases
- Nonlinear spin diffusion and spin rotation in a trapped Fermi gas
- Transport in p-wave interacting Fermi gases
- Equation of state and contact of a strongly interacting Bose gas in the normal state
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- Relation connecting thermodynamics and transport of atomic unitary Fermi superfluids
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- Quantum transport in strongly correlated Fermi gases