Abstract

We numerically study the electronic structure of a single vortex in two dimensional superconducting bilayer systems within the range of the mean-field theory. The lack of local inversion symmetry in the system is taken into account through the layer dependent Rashba spin-orbit coupling. The spatial profiles of the pair potential and the local quasiparticle density of states are calculated in the clean spin-singlet superconductor on the basis of the quasiclassical theory. In particular, we discuss the characteristic core structure in the pair-density wave state, which is spatially modulated exotic superconducting phase in a high magnetic field.

Highlights

  • Intensive studies on locally noncentrosymmetric systems (LNCS) has been conducted [1, 2]

  • We focus on the exotic superconducting phase called the pair-density wave (PDW) phase, which is stabilized in a high magnetic field perpendicular to the layers [8]

  • It is because the PDW state stabilizes in a high magnetic field under the influence of the paramagnetic depairing

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Summary

Introduction

Intensive studies on locally noncentrosymmetric systems (LNCS) has been conducted [1, 2]. We focus on the exotic superconducting phase called the pair-density wave (PDW) phase, which is stabilized in a high magnetic field perpendicular to the layers [8]. In the PDW phase, the phase of the superconducting order parameter changes by π between the two layers, whereas no phase difference of the order parameter in the BCS phase in a low magnetic field.

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