Micromechanical Model for Self-Organized Impurity Nanorod Arrays in Epitaxial YBCO Films

TL;DR

This paper presents a micromechanical model based on elasticity theory to predict the orientation and configuration of impurity nanorods in YBCO superconducting films, aligning well with experimental data.

Contribution

It introduces a novel elastic model to understand and predict impurity nanorod arrangements in high-temperature superconductor films.

Findings

Phase diagram of lattice mismatch vs. elastic constants

Predicted nanorod orientation matches experimental observations

Elastic energy calculations explain self-organization patterns

Abstract

A micromechanical model based on the theory of elasticity has been developed to study the configuration of self-assembled impurity nanostructures in high temperature superconducting YBCO films. With the calculated equilibrium strain and elastic energy of the impurity doped film, a phase diagram of lattice mismatches $vs.$ elastic constants of the dopant was obtained for the energetically-preferred orientation of impurity nanorods. The calculation of the nanorod orientation and the film lattice deformation has yielded an excellent agreement with experimental measurements.