Colossal orbital-Edelstein effect in non-centrosymmetric superconductors

Abstract

In superconductors that lack inversion symmetry, the flow of supercurrent can induce a non-vanishing magnetization, a phenomenon which is at the heart of non-dissipative magneto-electric effects, also known as Edelstein effects. For electrons carrying spin and orbital moments a question of fundamental relevance deals with the orbital nature of magneto-electric effects in conventional spin-singlet superconductors with Rashba coupling. Remarkably, we find that the supercurrent-induced orbital magnetization is more than one order of magnitude greater than that due to the spin, giving rise to a colossal magneto-electric effect. The induced orbital magnetization is shown to be sign tunable, with the sign change occurring for the Fermi level lying in proximity of avoiding crossing points in the Brillouin zone. In the presence of superconducting phase inhomogeneities, a modulation of the Edelstein signal on the scale of the superconducting coherence length appears, leading to domains with opposite orbital moment orientations. These hallmarks are robust to real-space self-consistent treatment of the superconducting order parameter. The orbital-dominated magneto-electric phenomena, hence, have clear-cut marks for detection both in the bulk and at the edge of the system and are expected to be a general feature of multi-orbital superconductors with inversion symmetry breaking.

Main article 6 pages, 5 figures; supplemental material 4 pages 4 figures

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• Orbitronics in Two-dimensional Materials
• Tunable spin and orbital Edelstein effect at (111) LaAlO${}_3$/SrTiO${}_3$ interface
• Gate control of superconducting current: Mechanisms, parameters and technological potential
• Quantum geometry encoded to pair potentials
• Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures
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• Orbital currents in lattice multiorbital systems: Continuity equation, torques, and RKKY interaction
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• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
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• Orbital Hall effect from orbital magnetic moments of Bloch states: the role of a new correction term
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• Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles