Viscosity of the Electron Gas in Metals

Steinberg, M.

doi:10.1103/physrev.109.1486

Cited by 86 publications

(90 citation statements)

References 8 publications

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“…[45]]. In a two-dimensional Fermi liquid, the vertex corrections have been shown [46] to be of the order of [ln(E F /T )] 3 . For a doped Hubbard model, it was found in a dynamical cluster approximation calculation based on a four-site cluster that the vertex corrections to the optical conductivity were not significant, except very close to the Mott insulator [47].…”

Section: B Shear Viscosity In Dmftmentioning

confidence: 99%

“…We consider liquid 3 He because of the availability of extensive experimental data for the temperature and pressure dependence of the shear viscosity, recently reviewed and parametrized by Huang et al [2]. First, we review how liquid 3 He might be described as a lattice gas with a Hubbard model Hamiltonian.…”

Section: Parameters For Liquid 3 Hementioning

confidence: 99%

“…In Sec. IV, we first briefly review experimental results for the temperature dependence of the shear viscosity of liquid 3 He and its possible description by a Hubbard model. In Sec.…”

Section: Introductionmentioning

confidence: 99%

“…This equation has been used to determine the shear viscosity as a function of temperature for liquid 3 He (a correlated neutral fermion fluid). Extensive experimental data have been reviewed by Huang et al [2].…”

Section: Introductionmentioning

confidence: 99%

“…The shear viscosity for an electron gas in metals, calculated from solution of the Boltzmann equation, is given by [3] …”

Section: Introductionmentioning

confidence: 99%

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Shear viscosity of strongly interacting fermionic quantum fluids

Pakhira

McKenzie

2015

Phys. Rev. B

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Eighty years ago, Eyring proposed that the shear viscosity of a liquid η has a quantum limit η n 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 η s 4πk B 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 3 He. At low temperature, the shear viscosity is found to be well above the quantum limit and is proportional to the characteristic Fermi liquid 1/T 2 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 3 He. 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.

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Section: B Shear Viscosity In Dmftmentioning

confidence: 99%

Section: Parameters For Liquid 3 Hementioning

confidence: 99%

“…In Sec. IV, we first briefly review experimental results for the temperature dependence of the shear viscosity of liquid 3 He and its possible description by a Hubbard model. In Sec.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The shear viscosity for an electron gas in metals, calculated from solution of the Boltzmann equation, is given by [3] …”

Section: Introductionmentioning

confidence: 99%

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Shear viscosity of strongly interacting fermionic quantum fluids

Pakhira

McKenzie

2015

Phys. Rev. B

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Zur Quantentheorie der magnetoakustischen Effekte in Metallen

Stolz

1961

Physica Status Solidi (b)

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Es wird eine Theorie der Absorption von Ultraschallwellen durch die Elektronen eines Metalls in einem Magnetfeld entwickelt, die wesentlich auf quantenmechanischen Begriffen beruht. Die Elektronen werden als frei behandelt. Für das Gitter wird die Kontinuumsnäherung zugrunde gelegt, wobei von jeder Anisotropie im ersten Stadium der Untersuchungen abgesehen wird. In den fünf Fällen relativer orthogonaler Orientierung des Magnetfeldes und des Wellenvektors sowie des Polarisationsvektors der Ultraschallwelle können die meisten Ergebnisse auf die Resultate früherer halbklassischer Rechnungen zurückgeführt werden. Abgesehen von Oszillationen vom de‐Haas‐van‐Alphen‐Typ, die typische Quantenphänomene darstellen, treten in gewissen Fällen Unterschiede auf, die offensichtlich von der unbefriedigenden Behandlung der elektronischen Abschirmung in der vorliegenden Arbeit herrühren.

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Theorie der magnetoakustischen Effekte in Metallen (I)

Stolz¹

1963

Physica Status Solidi (b)

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Viscosity of the Electron Gas in Metals

Cited by 86 publications

References 8 publications

Shear viscosity of strongly interacting fermionic quantum fluids

Shear viscosity of strongly interacting fermionic quantum fluids

Zur Quantentheorie der magnetoakustischen Effekte in Metallen

Theorie der magnetoakustischen Effekte in Metallen (I)

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