Current inversion at the edges of a chiral $\mathbf{p}$-wave superconductor

Abstract

Motivated by Sr${}_2$RuO${}_4$, edge quasiparticle states are analyzed based on the self-consistent solution of the Bogolyubov-de Gennes equations for a topological chiral $p$-wave superconductor. Using a tight-binding model of a square lattice for the dominant $\gamma$-band we explore the non-trivial geometry and band structure dependence of the edge states and currents. As a peculiar finding we show that for high band fillings currents flow in reversed direction comparing straight and zigzag edges. We give a simple explanation in terms of the positions of the zero-energy bound states using a quasi-classical picture. We also show that a Ginzburg-Landau approach can reproduce these results. Moreover, the band filling dependence of the most stable domain wall structure is discussed.

5 pages, 4 figures

References in corpus (3)

• Observation of half-height magnetization steps in Sr2RuO4
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder

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• Spin-Current Instability at a Magnetic Domain Wall in a Ferromagnetic Superfluid: a Generation Mechanism of Eccentric Fractional Skyrmions
• 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
• Interband interference effects at the edge of a multiband chiral p-wave superconductor
• Magnetic field behaviour in $s+is$ and $s+id$ superconductors: twisting of applied and spontaneous fields
• Laser pulse probe of chirality of Cooper pairs
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors