Giant quantum-mechanical Hall effect in multichannel specular reflection of electrons at metal plate boundaries
A. A. SlutskinB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovЕ. В. МанжелийB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, Kharkov
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Abstract
A quantum-interference effect is predicted in metal plates of thickness L≲l0 (l0 is the mean free path) upon multichannel specular reflection (MSR) of electrons at the metal surface in a weak magnetic field H perpendicular to the plate boundary. The effect consists in an increase in the Hall coefficient R (for small values of H) as compared to its normal value by a factor of pFL/ℏ (pF is the characteristic Fermi momentum). The expressions obtained for R are found to be valid for an arbitrary number of MSR channels.
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