Analytical Result on Electronic States around a Vortex Core in a Noncentrosymmetric Superconductor

TL;DR

This paper provides an analytical study of electronic bound states around a vortex core in a noncentrosymmetric superconductor, revealing unique LDOS patterns that can help identify pairing symmetry and gap structure.

Contribution

It introduces a formula for the local density of states around a vortex in noncentrosymmetric superconductors considering mixed pairing symmetry.

Findings

LDOS patterns differ from conventional s-wave or d-wave superconductors.

Ellipticity of LDOS can estimate pairing symmetry and gap node positions.

Method applicable to materials like CePt3Si for experimental analysis.

Abstract

We analytically study electronic bound states around a single vortex core in a noncentrosymmetric superconductor such as ${\rm CePt_3Si}$ without mirror symmetry about the $ab$ plane. Considering a mixed spin-singlet-triplet Cooper pairing model, we obtain a formula about the local density of states (LDOS) around a vortex core in any directions of magnetic fields. The LDOS under a magnetic field perpendicular to the c axis are quite different from those of typical s-wave or d-wave superconductors. From the ellipticity of the spatial pattern of the LDOS around a vortex core, one can estimate experimentally the pairing symmetry of ${\rm CePt_3Si}$ such as the position of the gap nodes and the ratio of the singlet component to the triplet component in order parameter.