Theory of magnetic response in finite two-dimensional superconductors

Abstract

We present a theory of magnetic response in a finite-size two-dimensional superconductors with Rashba spin-orbit coupling. The interplay between the latter and an in-plane Zeeman field leads on the one hand to an out-of-plane spin polarization which accumulates at the edges of the sample over the superconducting coherence length, and on the other hand, to circulating supercurrents decaying away from the edge over a macroscopic scale. In a long finite stripe of width W both, the spin polarization and the currents, contribute to the total magnetic moment induced at the stripe ends. These two contributions scale with W and W2 respectively, such that for sufficiently large samples it can be detected by current magnetometry techniques.

6 pages, 3 figures; typos corrected

References in corpus (5)

• Highly crystalline 2D superconductors
• Possible Topological Superconducting Phases of MoS${}_2$
• Theory of 2D superconductor with broken inversion symmetry
• Two-dimensional Superconductors with Atomic-scale Thicknesses
• Boundary conditions for spin and charge diffusion in the presence of interfacial spin-orbit coupling

Cited by in corpus (10)

• Superconducting diode effect in diffusive superconductors and Josephson junctions with Rashba spin-orbit coupling
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Superconducting triplet rim currents in a spin-textured ferromagnetic disk
• Spin-orbit-enhanced robustness of supercurrent in graphene/WS${}_2$ Josephson junctions
• Direct observation of quantum anomalous vortex in Fe(Se,Te)
• Planar Josephson Hall effect in topological Josephson junctions
• Signatures of superconducting triplet pairing in Ni--Ga-bilayer junctions
• Tunable critical field in Rashba superconductor thin-films
• Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $\sigma$ model
• Josephson anomalous vortices