Frederick Green and Mukunda P Das 2000 J. Phys.: Condens. Matter 12 5251 doi:10.1088/0953-8984/12/24/315
Frederick Green1 and Mukunda P Das2
Show affiliationsCoulomb screening, together with degeneracy, is characteristic of the metallic electron gas. While there is little trace of its effects in transport and noise in the bulk, at mesoscopic scales the electronic fluctuations start to show appreciable Coulomb correlations. Within completely standard Boltzmann and Fermi-liquid frameworks, we analyse these phenomena and their relation to the mesoscopic fluctuation-dissipation theorem, which we prove. We identify two distinct screening mechanisms for mesoscopic fluctuations. One is the self-consistent response of the contact potential in a non-uniform system. The other couples to scattering, and is an exclusively non-equilibrium process. Contact-potential effects renormalize all thermal fluctuations, at all scales. Collisional effects are relatively short ranged and modify non-equilibrium noise. We discuss ways to detect these differences experimentally.
71.10.Ca Electron gas, Fermi gas
71.10.Ay Fermi-liquid theory and other phenomenological models
Issue 24 (19 June 2000)
Received 31 January 2000, in final form 5 May 2000
Frederick Green and Mukunda P Das 2000 J. Phys.: Condens. Matter 12 5251
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