Quantum shims in a strong magnetic field – carriers of electronic states with controllable quantum numbers

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Abstract

Background and Objectives: One of the most promising properties of thin quantum rings – their selective properties for localized electrons in a magnetic field – is practically not discussed in the modern literature. Meanwhile, the spectrum of such rings can be reduced to a single stable level, all quantum numbers of which (including spin number) are controlled by the magnetic field. The electronic states of flat thin quantum rings of rectangular cross section, whose thickness h, inner radius Rin and outer radius Rex are related by the relations h ≪ Rex − Rin ≪ Rin, are considered; hereinafter we will call them “quantum shims”. This paper is devoted to select the parameters of a quantum shim so that it holds an electron only in a particular spin state. Materials and Methods: The equations for the radial function, which are of primary physical interest, are obtained by analytically solving the Schrödinger equation for this structure. Results: It has turned out that narrow-gap quantum shims in a wide-gap matrix have the most pronounced and fully controllable selection properties. To keep an electron in such a shim at a single stable level, an external homogeneous magnetic field of strictly defined strength is required. Each set of quantum numbers – radial, orbital and spin – corresponds to a unique value of field strength stabilizing this level. Conclusion: It has been found that this type of narrow-gap heterostructures in a wide-gap matrix can become basic elements for spintronic systems. Their spectrum in an external magnetic field can be reduced to a single stable level, all quantum numbers of which (spin including) are controlled by the external field. We have considered variants of changing the spin state of an electron localized on a shim by a longitudinal magnetic field.

About the authors

Arkady Mikhailovich Mandel

Moscow State University of Technology "STANKIN"

ORCID iD: 0009-0008-7516-2596
SPIN-code: 7889-3563
Scopus Author ID: 7004516677
Москва, Вадковский пер., д.3а

Vadim Borisovich Oshurko

Moscow State University of Technology "STANKIN"

ORCID iD: 0000-0001-8566-6407
SPIN-code: 8344-8772
Scopus Author ID: 8426918600
Москва, Вадковский пер., д.3а

Elena Evgenievna Karpova

Moscow State University of Technology "STANKIN"

ORCID iD: 0009-0007-3454-9033
SPIN-code: 6071-9432
Scopus Author ID: 56326208900
Москва, Вадковский пер., д.3а

Kirill Georgievich Solomakho

Moscow State University of Technology "STANKIN"

ORCID iD: 0000-0001-7515-8564
SPIN-code: 4247-1979
Scopus Author ID: 57191593394
Москва, Вадковский пер., д.3а

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