Restoration of $hc/2e$ Magnetic Flux Periodicity in a Hollow $d$-Wave Superconducting Cylinder

Details Restoration of $hc/2e$ Magnetic Flux Periodicity in a Hollow $d$-Wave Superconducting Cylinder Restoration of $hc/2e$ Magnetic Flux Periodicity in a Hollow $d$-Wave Superconducting Cylinder

2008-06-06

arxiv.org/abs/0806.1084v2

Physics

Condensed Matter

Superconductivity

4+ pages, 5 embedded eps figures

Scientific paper

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 $d_{x^2-y^2}$ pairing state gives rise to an $hc/e$ periodicity in the order parameter and a first-order quantum phase transition for a large system size. 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, in cooperation with the increase of the cylinder circumference, the $hc/2e$ periodicity can be restored significantly in the supercurrent by avoiding the particle-hole symmetry point. A similar study of a $d_{x^2-y^2}+id_{xy}$ pairing state verifies the peculiarity of unconventional superconductors with nodal structure.

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