Quantum galvanomagnetic effects in metal plates in a weak transverse magnetic field due to multichannel specular reflection of electrons

A new class of quantum interference (QI) kinetic size effects in metals is described. These effects emerge as a result of multichannel specular reflection (MSR) of electrons at the boundaries of a metal plate of thickness L ≲ l0 (l0 is the electron mean free path) placed in a weak transverse magnetic field of strength H ≲ HL = ℏc/eL2 (e is the electron charge and c the velocity of light). The influence of such a weak field on MSR dynamics of electrons is confined simply to its effects on the quasiclassical phases of Bloch functions of various MSR channels. A consistent theory is developed for the galvanomagnetic QI phenomena which can be described in terms of the effective dynamics of the above phases that can be used as independent “classical” variables. It is shown that the components of the conductivity tensor of the plate in a field H ∼ H0 ∼ cℏ/el0L vary by an amount comparable with the characteristic conductivity of the plate and tend to a universal asymptotic behavior for HL ≳ H ≫ H0.The QI effect of electron localization by a weak transverse field of strength H < HL is predicted. The frequency ωq of precession in such quantum “traps” turns out to be anomalously high: ωq ∼ (pFL/ℏ) ωc ≫ ωc (pF is the Fermi momentum and ωc the characteristic Larmor frequency). It is shown that the above effects can be observed quite easily experimentally.

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