The interface roughness disturbs the planar geometry and the restraint conditions imposed (by interface potentials) on the motion of the mobile charge carriers create deviation from integral (spectral) dimensionality. In our contribution we calculate the interlayer coupling that accounts for the fractional dimensionality and show that effect interface roughness on the interlayer coupling can be accounted for by an exchange-like term which exhibits π/2 phase shift with respect to the conventional interlayer coupling derived for ideally fiat interfaces.
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