Superconductivity in correlated disordered two-dimensional electron gas

TL;DR

This paper investigates how disorder and electron correlations influence superconductivity in a low-density two-dimensional electron gas, providing insights into the effective interactions and critical temperature modifications.

Contribution

It introduces a calculation of the dynamic effective electron-electron interaction potential considering disorder and correlations, advancing understanding of superconductivity in disordered 2D systems.

Findings

Disorder affects the effective attractive potential between electrons.

Correlations modify the superconducting critical temperature Tc.

Disorder and correlations can enhance or suppress superconductivity depending on conditions.

Abstract

We calculate the dynamic effective electron-electron interaction potential for a low density disordered two-dimensional electron gas. The disordered response function is used to calculate the effective potential where the scattering rate is taken from typical mobilities from recent experiments. We investigate the development of an effective attractive pair potential for both disordered and disorder free systems with correlations determined from existing numerical simulation data. The effect of disorder and correlations on the superconducting critical temperature Tc is discussed.