Ginzburg-Landau calculations of d-wave superconducting dot in s-wave superconducting matrix

TL;DR

This paper introduces a numerical method to analyze superconducting states and magnetic fields in composite structures of high-Tc and conventional superconductors, revealing spontaneous flux and proposing a novel d-dot configuration.

Contribution

It presents a new numerical approach for calculating properties of superconductor composites and introduces the concept of a high-Tc superconducting dot embedded in a conventional superconductor.

Findings

Spontaneous magnetic flux appears at boundary corners.

The spatial distribution of order parameters and magnetic fields in d-dot structures is characterized.

A new composite structure, the d-dot, is proposed and analyzed.

Abstract

We have developed a numerical method that calculated superconducting states and magnetic field distributions for the composite structures of the High-Tc superconductor and the conventional superconductor in arbitrary geometries. We show spontaneous magnetic flux appears at the corner of the boundary of these two superconductors. Also we propose High-Tc superconducting dot embedded in conventional superconductors, which is named as d-dot and show the spatial distribution of superconducting order parameters and the magnetic field.