  We theoretically study the real-space distribution of the supercurrent that
flows under a uniform vector potential in a two-dimensional quasiperiodic
structure. This is done by considering the attractive Hubbard model on the
quasiperiodic Ammann-Beenker structure and studying the superconducting phase
within the Bogoliubov-de Gennes mean-field theory. Decomposing the local
supercurrent into the paramagnetic and diamagnetic components, we numerically
investigate their dependencies on average electron density, temperature, and
the angle of the applied vector potential. We find that the diamagnetic current
locally violates the current conservation law, necessitating compensation from
the paramagnetic current, even at zero temperature. The paramagnetic current
shows exotic behaviors in the quasiperiodic structure, such as local currents
which are oriented transversally or reversely to that of the applied vector
potential.
