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

References in corpus (8)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Helical vortex phase in the non-centrosymmetric CePt_3Si
• Distribution functions in non-equilibrium theory of superconductivity and Andreev spectroscopy in unconventional superconductors
• Vortex structure in $d$-wave superconductors
• Temperature Dependence of the Superfluid Density in a Noncentrosymmetric Superconductor
• Magnetic Properties of a Superconductor with no Inversion Symmetry

Cited by in corpus (13)

• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors
• Superconducting gap function in the organic superconductor (TMTSF)2ClO4 with anion ordering; First-principles calculations and quasiclassical analysis for angle-resolved heat capacity
• Positions of Point-Nodes in Borocarbide Superconductor YNi2B2C
• Quasiclassical Treatment and Odd-parity/Triplet Correspondence in Topological Superconductors
• Rotation of the magnetic vortex lattice in Ru7B3 driven by the effects of broken time-reversal and inversion symmetry
• Field-angle-dependent low-energy excitations around a vortex in the superconducting topological insulator CuxBi2Se3
• Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric Superconductors
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Sparse modeling approach for quasiclassical theory of superconductivity