dc.contributor.author | Conti, Sergio | eng |
dc.contributor.author | Vignale, Giovanni, 1957- | eng |
dc.date.issued | 1999 | eng |
dc.description | URL:http://link.aps.org/doi/10.1103/PhysRevB.60.7966
DOI:10.1103/PhysRevB.60.7966 | eng |
dc.description.abstract | The zero-temperature response of an interacting electron liquid to a time-dependent vector potential of wave vector q and frequency ω, such that q≪qF, qvF≪ω≪EF/ħ (where qF, vF, and EF are the Fermi wave vector, velocity, and energy, respectively), is equivalent to that of a continuous elastic medium with nonvanishing shear modulus μ, bulk modulus K, and viscosity coefficients η and ζ. We establish the relationship between the viscoelastic coefficients and the long-wavelength limit of the “dynamical local-field factors” GL(T)(q,ω), which are widely used to describe exchange-correlation effects in electron liquids. We present several exact results for μ, including its expression in terms of Landau parameters, and practical approximate formulas for μ, η, and ζ as functions of density. These are used to discuss the possibility of a transverse collective mode in the electron liquid at sufficiently low density. Finally, we consider impurity scattering and/or quasiparticle collisions at nonzero temperature. Treating these effects in the relaxation-time (τ) approximation, explicit expressions are derived for μ and η as functions of frequency. These formulas exhibit a crossover from the collisional regime (ωτ≪1), where μ∼0 and η∼nEFτ, to the collisionless regime (ωτ≫1), where μ∼nEF and η∼0. | eng |
dc.description.sponsorship | This work was supported by NSF Grant No. DMR-
9706788. S.C. acknowledges a grant from the Max-Planck-Institute for Mathematics in the Sciences. G.V. was also supported in part by the Institute for Theoretical Physics at the
University of California, Santa Barbara, under NSF Grant No. PHY94-07194. | eng |
dc.identifier.citation | Phys. Rev. B 60, 7966-7980 (1999) | eng |
dc.identifier.issn | 1098-0121 | eng |
dc.identifier.uri | http://hdl.handle.net/10355/7936 | eng |
dc.language | English | eng |
dc.publisher | American Physical Society | eng |
dc.relation.ispartofcollection | University of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publications | eng |
dc.subject | elastic constants | eng |
dc.subject.lcsh | Plasmons (Physics) | eng |
dc.subject.lcsh | Elasticity | eng |
dc.subject.lcsh | Fermi liquid theory | eng |
dc.title | Elasticity of an electron liquid | eng |
dc.type | Article | eng |