Magnetic flux periodicity in a hollow d-wave superconducting cylinder

The magnetic flux dependence of order parameter and supercurrent is studied in a hollow d-wave superconducting cylinder. It is shown that the existence of line nodal quasiparticles in a pure d_x²−y² pairing state gives rise to an hc/e periodicity in the order parameter. We demonstrate that the flux periodicity in the supercurrent is sensitive to the detailed electronic band structure and electron filling factor. In particular, we find that the hc/e component in the current spectrum can be tuned by these parameter values together with the cylinder circumference. A similar study of a d_x²−y²+id_xy pairing state verifies the peculiarity of unconventional superconductors with nodal structure. ©2010 The American Physical Society