Magnetoresistance peculiarities and magnetization of materials with two kinds of superconducting inclusions

TL;DR

This paper develops a theoretical model to analyze the magnetoresistance and magnetization of crystals containing two types of superconducting inclusions, considering their size relative to coherence length and penetration depth.

Contribution

It introduces a new theoretical framework for understanding the low-temperature properties of materials with two different superconducting inclusions.

Findings

Derived a theory for magnetoresistance in such composites

Calculated the magnetization of crystals with two types of inclusions

Provided insights into the effects of inclusion size on magnetic properties

Abstract

Low-temperature properties of a crystal containing superconducting inclusions of two different materials have been studied. In the approximation that the size of inclusions is much smaller than the coherence length/penetration depth of the magnetic field the theory for magnetoresistance of a crystal containing spherical superconducting inclusions of two different materials has been developed, and magnetization of crystals has been calculated.