Theory of equilibrium flux lattices in unconventional superconductors

TL;DR

This paper explores the equilibrium arrangements of magnetic flux lattices in unconventional superconductors, revealing a complex phase diagram with multiple lattice structures influenced by magnetic field and temperature.

Contribution

It introduces a generalized London model incorporating non-local electrodynamics to analyze flux lattice structures in unconventional superconductors.

Findings

Identifies multiple flux lattice geometries including triangular, rectangular, and square.

Maps the phase diagram showing how lattice structures vary with magnetic field and temperature.

Highlights the influence of non-local effects on flux lattice configurations.

Abstract

We investigate equilibrium flux lattice structures in superconductors with unconventional order parameters, such as high-$T_c$ cuprates, using a generalized London model with non-local electrodynamics derived from a simple microscopic model. We find a rich phase diagram containing triangular, centered rectangular and square lattices with various orientations to the ionic lattice, as a function of magnetic field and temperature.