Relation between Vortex core charge and Vortex Bound States

TL;DR

This paper investigates how the electron distribution around a vortex relates to vortex bound states, providing insights that could enable experimental measurement of vortex core charge via STM.

Contribution

It establishes a theoretical relation between vortex core charge and vortex bound states using Bogoliubov-de Gennes theory, linking microscopic states to measurable charge.

Findings

Electron density structure varies with temperature around a vortex.

A direct relation between vortex core charge and bound states is identified.

Potential for STM to measure vortex core charge through this relation.

Abstract

Spatially inhomogeneous electron distribution around a single vortex is discussed on the basis of the Bogoliubov-de Gennes theory. The spatial structure and temperature dependence of the electron density around the vortex are presented. A relation between the vortex core charge and the vortex bound states (or the Caroli-de Gennes-Matricon states) is pointed out. Using the scanning tunneling microscope, information on the vortex core charge can be extracted through this relation.