The Effects of d_{x^2-y^2}-d_{xy} Mixing on Vortex Structures and Magnetization

TL;DR

This paper investigates how mixing d_{x^2-y^2} and d_{xy} wave symmetries affects vortex structures and magnetization in d-wave superconductors using a Ginzburg-Landau model, combining numerical, asymptotic, and analytical methods.

Contribution

It introduces a phenomenological Ginzburg-Landau model that includes mixed d-wave symmetries to analyze vortex structures and magnetization.

Findings

Single vortex structure analyzed numerically and asymptotically.

Vortex lattice structure and magnetization calculated analytically near H_{c2}.

Mixing of d-wave symmetries influences vortex configurations.

Abstract

The structure of an isolated single vortex and the vortex lattice, and the magnetization in a $d$-wave superconductor are investigated within a phenomenological Ginzburg-Landau (GL) model including the mixture of the $d_{x^2-y^2}$-wave and $d_{xy}$-wave symmetry. The isolated single vortex structure in a week magnetic field is studied both numerically and asymptotically. Near the upper critical field $H_{c2}$, the vortex lattice structure and the magnetization are calculated analytically.