Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs

Abstract

We theoretically demonstrate that the vortex supercurrent can be reversed by odd-frequency Cooper pairs accompanied by surface Andreev bound states. The surface of a three-dimensional superconductor pierced by a flux quantum is considered. We compare the vortex supercurrents near the surface of the spin-singlet $s$-wave and spin-triplet $p_z$-wave superconductors using quasiclassical Eilenberger theory, where the surface is perpendicular to the $z$ direction. We demonstrate that the vortex supercurrent near the surface of a $p_z$-wave superconductor is reversed compared to those far from the surface, whereas that of an $s$-wave superconductor is not. The splitting of the zero-energy states caused by the interference of the surface Andreev bound states and Caroli-de Gennes-Matricon modes is demonstrated.

arXiv comment(Main) 6 pages, 6 figures. (Appendix) 9 pages, 4 figures, 1 table

References in corpus (37)

• Spontaneously polarized half-gapped superconductivity
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Topology of Andreev Bound States with Flat Dispersion
• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency superconductivity
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Odd-frequency pairing in normal metal/superconductor junctions
• Josephson Effect due to Odd-frequency Pairs in Diffusive Half Metals
• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• Anomalous features of the proximity effect in triplet superconductors
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Intrinsic Paramagnetic Meissner Effect due to s-wave Odd-Frequency Superconductivity
• Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
• Paramagnetic instability of small topological superconductors
• Odd-frequency Cooper pairs in two-band superconductors and their magnetic response
• Unsplit superconducting and time reversal symmetry breaking transitions in Sr${}_2$RuO${}_4$ under hydrostatic pressure and disorder
• Analysis of low-field isotropic vortex glass containing vortex groups in YBCO thin films visualized by scanning SQUID microscopy
• Proximity-Induced Odd-Frequency Superconductivity in a Topological Insulator
• Theory of pairing symmetry inside the Abrikosov vortex core
• Model for Vortex-core tunneling spectroscopy of chiral p-wave superconductors via odd-frequency pairing states
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Fragile surface zero-energy flat bands in three-dimensional chiral superconductors
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors
• Shadow on the wall cast by an Abrikosov vortex
• Odd-frequency pairing effect on the superfluid density and the Pauli spin susceptibility in spatially nonuniform spin-singlet superconductors
• Chirality sensitive effect on surface states in chiral p-wave superconductors
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Abrikosov vortices in SF bilayers
• Tunneling conductance and local density of states in time-reversal symmetry breaking superconductors under the influence of an external magnetic field
• Electronic structure of edge and vortex states in chiral mesoscopic superconductor
• Quasiparticle Bound States around Fractional Vortices in s-wave Superconductor

Cited by in corpus (2)

• Supercurrent reversal in Zeeman-split Josephson junctions
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States