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We theoretically study the real-space distribution of the supercurrent thatflows under a uniform vector potential in a two-dimensional quasiperiodicstructure. This is done by considering the attractive Hubbard model on thequasiperiodic Ammann-Beenker structure and studying the superconducting phasewithin the Bogoliubov-de Gennes mean-field theory. Decomposing the localsupercurrent into the paramagnetic and diamagnetic components, we numericallyinvestigate their dependencies on average electron density, temperature, andthe angle of the applied vector potential. We find that the diamagnetic currentlocally violates the current conservation law, necessitating compensation fromthe paramagnetic current, even at zero temperature. The paramagnetic currentshows exotic behaviors in the quasiperiodic structure, such as local currentswhich are oriented transversally or reversely to that of the applied vectorpotential.

Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal