Spontaneous Edge Current in Higher Chirality Superconductors

Abstract

The effects of finite temperature, Meissner screening and surface roughness on the spontaneous edge current for higher chirality quasi-two dimensional superconductors are studied in the continuum limit using the quasiclassical Eilenberger equations. We find that the total spontaneous current is non-zero at finite temperature $T$ and maximized near $T=T_c/2$, where $T_c$ is the transition temperature, although it vanishes at $T=0$. In the presence of surface roughness, we observe a surface current inversion in the chiral $d$-wave case that can be understood in terms of a disorder induced $s$-wave pairing component in the rough surface regime. This conclusion is supported by a Ginzburg-Landau analysis. However, this current inversion is non-universal beyond the continuum limit as demonstrated by self-consistent lattice Bogoliubov-de Gennes calculations.

12 pages, 9 figures; published version with partially rewritten Section III and minor corrections

References in corpus (12)

• Chiral Superconductors
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• Vanishing edge currents in non-$p$-wave topological chiral superconductors
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• Non-topological nature of the edge current in a chiral p-wave superconductor
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• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder
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• Spontaneous edge current in a small chiral superconductor with a rough surface
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• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Approach to Solving Quasiclassical Equations with Gauge Invariance
• Quantum theory for edge current and noise in two-dimensional topological superconductors
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• Vortices in Two-Dimensional Chiral Superfluids
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors