Effect of magnetic field on resonant tunneling in 3D waveguides of variable cross-section

We consider an infinite three-dimensional waveguide that far from the coordinate origin coincides with a cylinder. The waveguide has two narrows of diameter \(\varepsilon\). The narrows play the role of effective potential barriers for the longitudinal electron motion. The part of waveguide between...

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Bibliographic Details
Published inarXiv.org
Main Authors Baskin, L M, Plamenevskii, B A, Sarafanov, O V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.11.2013
Subjects
Cylinders
Electron spin
Electrons
Magnetic fields
Potential barriers
Resonant tunneling
Resonators
Waveguides
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Summary:We consider an infinite three-dimensional waveguide that far from the coordinate origin coincides with a cylinder. The waveguide has two narrows of diameter \(\varepsilon\). The narrows play the role of effective potential barriers for the longitudinal electron motion. The part of waveguide between the narrows becomes a "resonator"\, and there can arise conditions for electron resonant tunneling. A magnetic field in the resonator can change the basic characteristics of this phenomenon. In the presence of a magnetic field, the tunneling phenomenon is feasible for producing spin-polarized electron flows consisting of electrons with spins of the same direction. We assume that the whole domain occupied by a magnetic field is in the resonator. An electron wave function satisfies the Pauli equation in the waveguide and vanishes at its boundary. Taking \(\varepsilon\) as a small parameter, we derive asymptotics for the probability \(T(E)\) of an electron with energy \(E\) to pass through the resonator, for the "resonant energy"\,\(E_{res}\), where \(T(E)\) takes its maximal value, and for some other resonant tunneling characteristics.
ISSN:2331-8422