Chiral Current Inversion Induced by Flat-Band Andreev Bound States

Abstract

We study the spontaneous chiral surface current circulating in a three-dimensional disk of a chiral superconductor (SC) utilizing the quasiclassical Eilenberger theory. We obtain spatial profiles of the chiral current for both a ($d_{zx}+i{d}_{yz}$)-wave and a ($p_x+i{p}_y$)-wave SCs (where the top and bottom surfaces of the disk are perpendicular to the $z$-axis). Whereas the chiral current for a ($p_x+i{p}_y$)-wave SC does not depend on $z$, a reversal of the chiral current takes place at the top and bottom surfaces in the case of a ($d_{zx}+i{d}_{yz}$)-wave SC. In this latter case, flat-band Andreev bound states appear at the top and bottom surfaces in addition to the chiral surface states at the lateral surface. The chiral current reversal is explained in terms of hybridization between the two types of Andreev bound states. As a result, the magnetic field around the disk differs drastically between the two cases.

6 pages, 5 figures, Supplemental Materials

References in corpus (14)

• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Anomalous surface states at interfaces in p-wave 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
• 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${}_4$
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs