Oscillations of magnetoresistance in a clean hollow cylinder with a fluctuating radius
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We consider magnetic oscillations of the resistivity of a clean (mean free path l ≫ R) hollow cylinder with fluctuating (with an amplitude of fluctuations \(R \ll \bar R\)) radius R, threaded by magnetic flux Φ. We demonstrate, that for weak fluctuations (ΔR ≪ pF−1) the oscillations have a standard period 2Φ0, characteristic for oscillations in a clean system, while for ΔR ≫ pF−1 they become Φ0-periodic, which was expected only for dirty systems with l ≪ R. The work is motivated by observation of predominantly Φ0-periodic magnetic oscillations in very clean Bismuth wires.
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