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Quantum Size Effects on the Perpendicular Upper Critical Field in Ultrathin Lead Films

Quantum Size Effects on the Perpendicular Upper Critical Field in Ultrathin Lead Films

We report the thickness-dependent (in terms of atomic layers) oscillation behavior of the perpendicular upper critical field ${H}_{c2\ensuremath{\perp}}$ in the ultrathin lead films at the reduced temperature ($t=T/{T}_{c}$). Distinct oscillations of the normal-state resistivity as a function of film thickness have also been observed. Compared with the ${T}_{c}$ oscillation, the …