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

Yuki Nagai·Yusuke Kato·Nobuhiko Hayashi
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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.

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Yuki Nagai, Yusuke Kato, Nobuhiko Hayashi. 2006-04-10. Analytical Result on Electronic States around a Vortex Core in a Noncentrosymmetric Superconductor. https://doi.org/10.1143/jpsj.75.043706

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