Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors

TL;DR

This paper derives a general analytical formula for the local density of states around vortex cores in unconventional superconductors, accounting for anisotropic properties and magnetic field directions, enhancing interpretation of experimental data.

Contribution

It provides a new analytical framework for LDOS around vortices in anisotropic superconductors, unifying previous numerical results and experimental observations.

Findings

Geometric interpretation of LDOS in d-wave superconductors and NbSe2

Trajectory analysis of Andreev bound states

Application to experimental data on YNi2B2C

Abstract

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of magnetic fields. Earlier results on the LDOS of d-wave superconductors and NbSe$_2$ are naturally interpreted within our theory geometrically; the region with high intensity of the LDOS observed in numerical calculations turns out to the enveloping curve of the trajectory of Andreev bound states. We discuss experimental results on YNi$_2$B$_2$C within the quasiclassical theory of superconductivity.