Spontaneous edge current in a small chiral superconductor with a rough surface

Abstract

We study theoretically the spontaneous edge current in a small chiral superconductor with surface roughness. We obtained self-consistent solutions of the pair potential and the vector potential by solving the quasiclassical Eilenberger equation and the Maxwell equation simultaneously. We then employed them to calculate numerically the spatial distribution of the chiral edge current in a small superconductor. The characteristic behavior of the spontaneous edge current depends strongly on the symmetries of the order parameters such as chiral $p$-, chiral $d$- and chiral $f$-wave pairing. The edge current is robust under the surface roughness in the chiral $p$- and chiral $d$-wave superconductors. In the chiral $d$-wave case, the surface roughness tends to flip the direction of the chiral current. On the other hand, the edge current in a chiral $f$-wave superconductor is fragile when there is surface roughness. We also discuss the temperature dependence of a spontaneous magnetization, which is a measurable value in standard experiments.

14 pages, 18 figures

References in corpus (11)

• 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
• Non-topological nature of the edge current in a chiral p-wave superconductor
• Current inversion at the edges of a chiral $\mathbf{p}$-wave superconductor
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder
• Suppression of Spontaneous Supercurrents in a Chiral p-Wave Superconductor
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Anomalous surface states at interfaces in p-wave superconductors

Cited by in corpus (39)

• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Theory of chiral $p$-wave superconductivity with near-nodes for Sr${}_2$RuO${}_4$
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Spontaneous surface flux pattern in chiral p-wave superconductors - revisited
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Edge current and orbital angular momentum of chiral superfluids revisited
• Spontaneous Edge Current in Higher Chirality Superconductors
• Observability of surface currents in p-wave superconductors
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Influence of diffuse surface scattering on the stability of superconducting phases with spontaneous surface current generated by Andreev bound states
• Non-thermodynamic nature of the orbital angular momentum in neutral fermionic superfluids
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Tunnelling conductance of $d+ip$-wave superconductor
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Interband interference effects at the edge of a multiband chiral p-wave superconductor
• Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Quasiparticle spectrum in mesoscopic superconducting junctions with weak magnetization
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Supercurrent reversal in Zeeman-split Josephson junctions
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors
• Quantum theory for edge current and noise in two-dimensional topological superconductors
• Vortices in Two-Dimensional Chiral Superfluids