Tilt Grain-Boundary Effects in S- and D-Wave Superconductors

TL;DR

This paper presents self-consistent calculations of supercurrent flow and current-phase relationships near tilt grain boundaries in s- and d-wave superconductors using a microscopic model.

Contribution

It provides the first self-consistent microscopic analysis of supercurrent behavior at tilt grain boundaries in both s- and d-wave superconductors.

Findings

Calculated supercurrent flows and current-phase characteristics.

Demonstrated differences between s-wave and d-wave boundary behaviors.

Abstract

We calculate the s- and d-wave superconductor order parameter in the vicinity of a tilt grain boundary. We do this self-consistently within the Bogoliubov de Gennes equations, using a realistic microscopic model of the grain boundary. We present the first self-consistent calculations of supercurrent flows in such boundaries, obtaining the current-phase characteristics of grain boundaries in both s-wave and d-wave superconductors.