Novel Circuit Theory of Andreev Reflection

TL;DR

This paper introduces an improved circuit theory of superconductivity that incorporates decoherence effects and the dual nature of distribution functions, expanding its applicability to complex systems.

Contribution

The paper presents a revised circuit theory of Andreev reflection that accounts for decoherence and detailed connector descriptions, enhancing previous models.

Findings

Enhanced modeling of Andreev reflection with decoherence effects

Broader applicability to complex superconducting systems

Guidance on numerical implementation of the new theory

Abstract

We review here a novel circuit theory of superconductivity. The existed circuit theory of Andreev reflection has been revised to account for decoherence between electrons and holes and twofold nature of the distribution function. The description of arbitrary connectors has been elaborated. In this way one can cope with the most of the factors that limited applicability of the old circuit theory. We give a simple example and discuss numerical implementation of the theory.