Robustness of chiral surface current and subdominant $s$-wave Cooper pairs

Abstract

The robustness of the chiral surface current of chiral superconductors against surface roughness is studied utilizing the quasiclassical Eilenberger theory. We consider the general chiral superconductors where the pair potential is given by the spherical harmonics $Y_l^m$ such that $(l,m)=(1,\pm 1)$ state corresponds to an ($p_x\pm i{p}_y$)-wave superconductor. The self-consistent calculations demonstrate that the robustness of the chiral current is determined by whether subdominant $s$-wave Cooper pairs are induced by disorder. The induced $s$-wave pairs act as an effective pair potential. As a result, the spontaneous chiral current of ($p_x+i{p}_y$)- and ($d_{x^2-y^2}+i{d}_{xy}$)-wave superconductors are robust against the roughness because the subdominant $s$-wave Cooper pairs are present.

10 pages, 9 figures

References in corpus (15)

• 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
• Current inversion at the edges of a chiral $\mathbf{p}$-wave superconductor
• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Anomalous surface states at interfaces in p-wave superconductors
• Edge-currents in superconductors with a broken time-reversal symmetry
• Possibility of chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Surface state tunneling signatures in two-component superconductor UPt${}_3$
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy

Cited by in corpus (3)

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• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors