Long Wavelength Correlations and Transport in a Marginal Fermi Liquid
| dc.creator | Shekhter, A. | |
| dc.creator | Varma, C. M. | |
| dc.date | 2008-09-05 | |
| dc.date | 2009-01-23 | |
| dc.date.accessioned | 2026-07-07T12:32:45Z | |
| dc.date.available | 2026-07-07T12:32:45Z | |
| dc.description | Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a quantum-critical point. An essential result due to the form of the assumed fluctuation spectra is that the large inelastic quasiparticle relaxation rate near the Fermi-surface is proportional to the energy measured from the chemical potential, $τ_i^{-1}\proptoε$. We present a microscopic long-wavelength derivation of the hydrodynamic properties in such a situation by an extension of the procedure that Eliashberg used for the derivation of the hydrodynamic properties of a Landau-Fermi-liquid. In particular, the density-density and the current-current correlations and the relation between the two are derived, and the connection to microscopic calculations of the frequency dependence of the optical conductivity with an additional fermi-liquid correction factor shown to follow. The method used here may be necessary, quite generally, for the correct hydrodynamic theory for any problem of quantum-critical fluctuations in fermions. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1104 | |
| dc.identifier | http://arxiv.org/abs/0809.1104 | |
| dc.identifier | Phys. Rev. B 79, 045117 (2009) | |
| dc.identifier | doi:10.1103/PhysRevB.79.045117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216889 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Materials Science | |
| dc.title | Long Wavelength Correlations and Transport in a Marginal Fermi Liquid | |
| dc.type | text |