Theory of Double-Sided Flux Decorations

TL;DR

This paper discusses a new two-sided Bitter decoration technique for studying magnetic vortex arrays in high-temperature superconductors, enabling quantitative analysis of bulk flux properties and vortex lattice moduli.

Contribution

It introduces a method to analyze two-sided decoration data to infer bulk vortex properties and lattice moduli, advancing experimental techniques in superconductor research.

Findings

Two-sided decorations can quantify bulk flux array properties.

Least squares analysis aligns the two decoration sides.

Bulk vortex tilt, compressional, and shear moduli can be extracted.

Abstract

A novel two-sided Bitter decoration technique was recently employed by Yao et al. to study the structure of the magnetic vortex array in high-temperature superconductors. Here we discuss the analysis of such experiments. We show that two-sided decorations can be used to infer {\it quantitative} information about the bulk properties of flux arrays, and discuss how a least squares analysis of the local density differences can be used to bring the two sides into registry. Information about the tilt, compressional and shear moduli of bulk vortex configurations can be extracted from these measurements.