Gor'kov and Eliashberg Linear Response Theory: Rigorous Derivation and Limits of Applicability
Ya.M.Blanter, A.D.Mirlin
TL;DR
This paper provides a rigorous derivation of Gor'kov and Eliashberg's linear response theory using supersymmetry, confirming their phenomenological results and justifying their assumptions for disordered mesoscopic particles.
Contribution
It offers a rigorous microscopic derivation of the polarizability within the grand canonical ensemble, validating the Gor'kov and Eliashberg approach.
Findings
Confirmation of the phenomenological results
Justification of the underlying assumptions
Encouragement for applying RMT to complex systems
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.
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