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Effects of the dispersion law and diffuse quasiparticle scattering on oscillation processes in a cylindrical conductor in a weak magnetic field

É. N. BogachekPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRG. A. GogadzePhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRI. O. KulikPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR
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A study has been made of the oscillation effect in a cylindrical conductor in a weak magnetic field (effects of flux-quantization type) for an arbitrary quasiparticle dispersion law and weak diffuse electron scattering at the surface. The oscillation period is Δ Φ = h c/e; if the conditions (kFσ)2 > (1/3π)ln (π/6)kFR, л5/2 (kFσ)2l/2 R ≲ 1 are met, the main contribution to the oscillations in the thermodynamic quantities comes from glancing electrons (kF is the Fermi wave vector, σ is the height of the roughness, l is the roughness length, and R is the radius of the cylinder), whose wave functions are localized near the surface of the conductor.

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