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

Abstract

We analytically study electronic bound states around a single vortex core in a noncentrosymmetric superconductor such as $\mathrm{CeP}{\mathrm{t}}_3\mathrm{Si}$ 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 $\mathrm{CeP}{\mathrm{t}}_3\mathrm{Si}$ such as the position of the gap nodes and the ratio of the singlet component to the triplet component in order parameter.

4 pages,3 figures

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