Title: Tuning Pairing Amplitude and Spin-Triplet Texture by Curving Superconducting Nanostructures,
Abstract: We investigate the nature of the superconducting state in curved
nanostructures with Rashba spin-orbit coupling (RSOC). In bent nanostructures
with inhomogeneous curvature we find a local enhancement or suppression of the
superconducting order parameter, with the effect that can be tailored by tuning
either the RSOC strength or the carrier density. Apart from the local
superconducting spin-singlet amplitude control, the geometric curvature
generates non-trivial textures of the spin-triplet pairs through a spatial
variation of the d-vector. By employing the representative case of an
elliptically deformed quantum ring, we demonstrate that the amplitude of the
d-vector strongly depends on the strength of the local curvature and it
generally exhibits a three-dimensional profile whose winding is tied to that of
the single electron spin in the normal state. Our findings unveil novel paths
to manipulate the quantum structure of the superconducting state in RSOC
nanostructures through their geometry.