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.

arXiv comment5 pages, 4 figures

References in corpus (11)

• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Observation of half-height magnetization steps in Sr2RuO4
• Upper limit on spontaneous supercurrents in Sr${}_2$RuO${}_4$
• On edge states in superconductor with time inversion symmetry breaking
• Edge states of Sr${}_2$RuO${}_4$ detected by in-plane tunneling spectroscopy
• Spontaneous Hall effect in chiral p-wave superconductor
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Theory of superconductivity in a three-orbital model of Sr${}_2$RuO${}_4$
• Suppression of spontaneous currents in Sr${}_2$RuO${}_4$ by surface disorder
• Anomalous switching in Nb/Ru/Sr2RuO4 topological junctions by chiral domain wall motion
• Influence of the domain walls on the Josephson effect in Sr${}_2$RuO${}_4$

Cited by in corpus (40)

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• Geometric approach to fragile topology beyond symmetry indicators
• Large Chern Number and Edge Currents in Sr2RuO4
• Non-topological nature of the edge current in a chiral p-wave superconductor
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Leggett modes and multi-band superconductivity in Sr2RuO4
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Superconductivity in Sr${}_2$RuO${}_4$ thin film under biaxial strain
• Spontaneous surface flux pattern in chiral p-wave superconductors - revisited
• Boundary effects in two-band superconductors
• Lattices of double-quanta vortices and chirality inversion in $p_x+i{p}_y$ superconductors
• Edge current and orbital angular momentum of chiral superfluids revisited
• Spontaneous Edge Current in Higher Chirality Superconductors
• Thermal Hall conductivity and topological transition in a chiral p-wave superconductor for Sr2RuO4
• Ground state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors
• Geometry -- dependent effects in Majorana nanowires
• Observability of surface currents in p-wave superconductors
• Majorana bound states in magnetic impurity chains: effects of $d$-wave pairing
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• 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${}_4$
• Equilibrium Surface Current and Role of U(1) Symmetry: sum rule and surface perturbations
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Non-thermodynamic nature of the orbital angular momentum in neutral fermionic superfluids
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Spontaneous thermal Hall effect in three-dimensional chiral superconductors with gap nodes
• 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
• Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking
• Fulde-Ferrell state in ferromagnetic chiral superconductor with magnetic domain wall
• 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