New type of conductivity oscillations in quantized films with rough walls

A new type of quantum size effect (QSE) oscillations is predicted for films with a relatively large correlation radius of surface inhomogeneities. The effect replaces usual QSE for random inhomogeneities with Gaussian and exponential power spectra. The well-pronounced oscillations of conductivity $σ$ as a function of channel width $L$ separate two distinct regions with different indices in the power-law dependence $σ(L)$. The oscillations are explained and their positions identified. The effect is reminiscent of magnetic breakthrough and can simplify observation of QSE in metals.

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