Spontaneous surface flux pattern in chiral p-wave superconductors - revisited

Abstract

In chiral $p$-wave superconductors, magnetic flux patterns may appear spontaneously when translational symmetry is broken such as at surfaces, domain walls, or impurities. However, in the candidate material Sr${}_2$RuO${}_4$ no direct signs of such magnetic fields have been detected experimentally. In this paper, the flux pattern at the edge of a disk-shaped sample is examined using the phenomenological Ginzburg Landau approach. The detailed shape of the flux pattern, including self-screening, is computed numerically for different surface types by systematically scanning a range of boundary conditions. Moreover, specific features of the electronic structure are included qualitatively through the coefficients in the Ginzburg Landau functional. Both the shape and the magnitude of the flux pattern are found to be highly sensitive to all considered parameters. In conclusion, such spontaneous magnetic flux patterns are not a universal feature of chiral $p$-wave superconductors.

arXiv comment13 pages, 9 figures; appendix 2 pages; supplemental document 3 pages

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Cited by in corpus (13)

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• Symmetry conditions for the superconducting diode effect in chiral superconductors
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Edge current and orbital angular momentum of chiral superfluids revisited
• Geometry -- dependent effects in Majorana nanowires
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Spontaneous thermal Hall effect in three-dimensional chiral superconductors with gap nodes
• Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking
• Spontaneous edge corner currents in $s+is$ superconductors and time reversal symmetry breaking surface states
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector