Little-Parks Oscillation of Superconducting Möbius Strip

Abstract

Little-Parks oscillation of a Möbius strip (or ring, equivalently) made of a superconductor is studied based on Ginzburg-Landau theory. It is shown that, if the strip is sufficiently wide, a novel state appears when the number of magnetic flux quanta threading the ring is close to a half odd integer. As a result, the shape of Little-Parks oscillation of critical temperature is modified. We estimate the free energy of this state and give the phase diagram of the superconducting Möbius strip in a magnetic field.