Quantum size effects on the perpendicular upper critical field in ultra-thin lead films

Abstract

We report the thickness-dependent (in terms of atomic layers) oscillation behavior of the perpendicular upper critical field Hc2 in the ultra-thin lead films at the reduced temperature (t=T/Tc). Distinct oscillations of the normal-state resistivity as a function of film thickness have also been observed. Compared with the Tc oscillation, the Hc2 shows a considerable large oscillation amplitude and a π phase shift. The oscillatory mean free path caused by quantum size effect plays a role in Hc2 oscillation.

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