  Little-Parks oscillations of a hollow superconducting cylinder are of
interest for flux-driven topological superconductivity in single Rashba
nanowires. The oscillations are typically symmetric in the orientation of the
applied magnetic flux. Using double InAs nanowires coated by an epitaxial
superconducting Al shell which, despite the non-centro-symmetric geometry,
behaves effectively as one hollow cylinder, we demonstrate that a small
misalignment of the applied parallel field with respect to the axis of the
nanowires can produce field-asymmetric Little-Parks oscillations. These are
revealed by the simultaneous application of a magnetic field perpendicular to
the misaligned parallel field direction. The asymmetry occurs in both the
destructive regime, in which superconductivity is destroyed for half-integer
quanta of flux through the shell, and in the non-destructive regime, where
superconductivity is depressed but not fully destroyed at these flux values.
