Shear viscosity of strongly interacting fermionic quantum fluids

Pakhira, Nandan and McKenzie, Ross H. (2015) Shear viscosity of strongly interacting fermionic quantum fluids. Physical Review B, 92 12: 125103-1-125103-13. doi:10.1103/PhysRevB.92.125103

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Author Pakhira, Nandan
McKenzie, Ross H.
Title Shear viscosity of strongly interacting fermionic quantum fluids
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2015-09-01
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevB.92.125103
Open Access Status File (Publisher version)
Volume 92
Issue 12
Start page 125103-1
End page 125103-13
Total pages 13
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2016
Language eng
Formatted abstract
Eighty years ago, Eyring proposed that the shear viscosity of a liquid η has a quantum limit ηā‰³nā„ where n is the density of the fluid. Using holographic duality and the anti–de Sitter/conformal field theory correspondence in string theory, Kovtun, Son, and Starinets (KSS) conjectured a universal bound ηs≥ā„4πkB for the ratio between the shear viscosity and the entropy density s. Using dynamical mean-field theory, we calculate the shear viscosity and entropy density for a fermionic fluid described by a single-band Hubbard model at half-filling. Our calculated shear viscosity as a function of temperature is compared with experimental data for liquid 3He. At low temperature, the shear viscosity is found to be well above the quantum limit and is proportional to the characteristic Fermi liquid 1/T2 dependence, where T is the temperature. With increasing temperature and interaction strength U, there is significant deviation from the Fermi liquid form. Also, the shear viscosity violates the quantum limit near the crossover from coherent quasiparticle-based transport to incoherent transport (the bad metal regime). Finally, the ratio of the shear viscosity to the entropy density is found to be comparable to the KSS bound for parameters appropriate to liquid 3He. However, this bound is found to be strongly violated in the bad metal regime for parameters appropriate to lattice electronic systems such as organic charge-transfer salts.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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