Bernoulli Potential, Hall Constant and Cooper Pairs Effective Masses in Disordered BCS Superconductors

TL;DR

This paper explores how the Bernoulli effect can be used to extract key superconducting parameters such as Cooper pair effective mass, charge carrier density, and penetration depth, especially in disordered and anisotropic superconductors.

Contribution

It systematically analyzes the Bernoulli effect as a tool for determining fundamental superconductor properties, including effective masses and charge densities, in disordered and anisotropic materials.

Findings

Bernoulli effect can determine Cooper pair effective mass

Method to find charge carrier density from Bernoulli measurements

Temperature dependence of penetration depth derived for clean-anisotropic-gap superconductors

Abstract

It is analyzed what fundamental new information for the properties of the superconductors can be obtained by systematic investigation of the Bernoulli effect. It is shown that it is a tool to determine the effective mass of Cooper pairs, the volume density of charge carriers, the temperature dependence of the penetration depth and condensation energy. The theoretical results for disordered and anisotropic gap superconductors are systematized for this aim. For clean-anisotropic-gap superconductors is presented a simple derivation for the temperature dependence of the penetration depth