Gor'kov and Eliashberg Linear Response Theory: Rigorous Derivation and Limits of Applicability

Abstract

A rigorous microscopic calculation of the polarizability of disordered mesoscopic particles within the grand canonical ensemble is given in terms of the supersymmetry method. The phenomenological result of Gor'kov and Eliashberg is confirmed. Thus the underlying assumptions of their method are justified. This encourages application of RMT in the Gor'kov--Eliashberg style to more complicated situations.

Final published version

References in corpus (1)

• Mesoscopic Fluctuations of Eigenfunctions and "Level Velocity" Distribution in Disordered Metals

Cited by in corpus (7)

• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Inelastic Electron Lifetime in Disordered Mesoscopic Systems
• Absorption of surface acoustic-waves by quantum dots: discrete spectrum limit
• Polarizability and Absorption of Small Conducting Particles in a Time-Varying Electromagnetic Field
• The effect of electron-electron interactions on the average polarizability of a mesoscopic system
• The weak localization correction to the polarization and persistent currents in mesoscopic metal rings
• Quantum Corrections to the Polarizability and Dephasing in Isolated Disordered Metals