Magnetic Properties of a Superconductor with no Inversion Symmetry

TL;DR

This paper investigates how the absence of inversion symmetry in a superconductor affects its magnetic properties, revealing unique interface effects and vortex behaviors linked to the crystal's symmetry breaking.

Contribution

It provides a detailed analysis of magnetic field discontinuities and vortex profiles in non-centrosymmetric superconductors, highlighting effects not present in symmetric counterparts.

Findings

Magnetic field discontinuity at interfaces due to broken symmetry

Vortex profiles similar to anisotropic superconductors with a shift

Induced radial magnetization for vortices along the z-axis

Abstract

We study the magnetic properties of a superconductor in a crystal without $z \to -z$ symmetry, in particular how the lack of this symmetry exhibits itself. We show that, though the penetration depth itself shows no such effect, for suitable orientation of magnetic field, there is a magnetic field discontinuity at the interface which shows this absence of symmetry. The magnetic field profile of a vortex in the $x-y$ plane is shown to be identical to that of an ordinary anisotropic superconductor except for a shift in the $-z$ direction by ${\tilde \kappa} \lambda_x$ (see errata). For a vortex along $z$, there is an induced magnetization along the radial direction.