Viscosity and scale invariance in the unitary Fermi gas
We compute the shear viscosity of the unitary Fermi gas above the superfluid transition temperature, using a diagrammatic technique that starts from the exact Kubo formula. The formalism obeys a Ward identity associated with scale invariance which guarantees that the bulk viscosity vanishes identica...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2011
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| In: |
Annals of physics
Year: 2011, Jahrgang: 326, Heft: 3, Pages: 770-796 |
| DOI: | 10.1016/j.aop.2010.10.002 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1016/j.aop.2010.10.002 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S000349161000179X 
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| Verfasserangaben: | Tilman Enss, Rudolf Haussmann, Wilhelm Zwerger |
MARC
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| 520 | |a We compute the shear viscosity of the unitary Fermi gas above the superfluid transition temperature, using a diagrammatic technique that starts from the exact Kubo formula. The formalism obeys a Ward identity associated with scale invariance which guarantees that the bulk viscosity vanishes identically. For the shear viscosity, vertex corrections and the associated Aslamazov-Larkin contributions are shown to be crucial to reproduce the full Boltzmann equation result in the high-temperature, low fugacity limit. The frequency dependent shear viscosity η(ω) exhibits a Drude-like transport peak and a power-law tail at large frequencies which is proportional to the Tan contact. The weight in the transport peak is given by the equilibrium pressure, in agreement with a sum rule due to Taylor and Randeria. Near the superfluid transition the peak width is of the order of 0.5TF, thus invalidating a quasiparticle description. The ratio η/s between the static shear viscosity and the entropy density exhibits a minimum near the superfluid transition temperature whose value is larger than the string theory bound ℏ/(4πkB) by a factor of about seven. | ||
| 650 | 4 | |a Degenerate Fermi gas | |
| 650 | 4 | |a Scale invariance | |
| 650 | 4 | |a Viscosity | |
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| 700 | 1 | |a Zwerger, Wilhelm |d 1954- |e VerfasserIn |0 (DE-588)10986297X |0 (DE-627)691061343 |0 (DE-576)289655293 |4 aut | |
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