From the Zero--bias Anomaly to the Coulomb Blockade: an Exactly Solvable Model.

TL;DR

This paper presents an exactly solvable microscopic model that bridges the Coulomb blockade and Altshuler-Aronov theories, providing insights into zero-wavelength interactions in finite systems.

Contribution

It introduces a new exactly solvable model for zero-wavelength interactions that interpolates between strong and weak coupling regimes.

Findings

Calculated tunneling density of states

Determined quasiparticle lifetime

Analyzed the physical nature of q=0 interaction component

Abstract

A microscopic theory of zero wavelength (q=0) interaction in finite--size systems is proposed. Its exact solution interpolates between the Coulomb blockade and the perturbative Altshuler--Aronov theory, in the strong and weak interaction limits respectively. The tunneling density of states and the quasiparticle life--time are calculated. The physical nature of the q=0 component of the interaction is discussed.