Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field

Lev Baskin, Pekka Neittaanmäki, Oleg Sarafanov

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

1 цитирование (Scopus)

Выдержка

We consider electron motion in quantum waveguides with variable cross-sections. The narrows of the waveguide play the role of effective potential barriers for the longitudinal motion of electrons. Two narrows form a quantum resonator where a resonant tunneling can occur. It means that electrons with energy in a small range pass through the resonator with probability near to 1. In presence of magnetic field, the aforementioned range splits into two intervals. Electrons with spin +1/2 can pass through the resonator only if their energies are in one of these intervals and electrons with spin -1/2 can pass only having energies in the second one. Hence, all electrons in the outgoing flow have similarly oriented spins, i. e. The electron flow becomes polarized. The intervals are rapidly decreasing as the diameter of narrows tends to 0, which presents difficulties for numerical simulation of the phenomenon. The full qualitative description of the phenomenon can be given only by asymptotic analysis. We consider an infinite waveguide with two cylindrical ends and two narrows of small diameter. Part of the resonator is placed into magnetic field. We give an asymptotic description of the electron wave propagation in such a waveguide as diameters of the narrows tend to zero.

Язык оригиналаанглийский
Название основной публикацииECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Страницы253-262
Число страниц10
СостояниеОпубликовано - 1 дек 2012
Событие6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Австрия
Продолжительность: 10 сен 201214 сен 2012

Серия публикаций

НазваниеECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Конференция

Конференция6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
СтранаАвстрия
ГородVienna
Период10/09/1214/09/12

Отпечаток

Spin Polarization
Spin polarization
Waveguide
Waveguides
Cross section
Magnetic Field
Electron
Magnetic fields
Electrons
Resonator
Resonators
Interval
Energy
Tend
Resonant tunneling
Asymptotic analysis
Motion
Effective Potential
Asymptotic Analysis
Range of data

Предметные области Scopus

  • Математика и теория расчета
  • Прикладная математика

Цитировать

Baskin, L., Neittaanmäki, P., & Sarafanov, O. (2012). Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field. В ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (стр. 253-262). (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).
Baskin, Lev ; Neittaanmäki, Pekka ; Sarafanov, Oleg. / Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. стр. 253-262 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).
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abstract = "We consider electron motion in quantum waveguides with variable cross-sections. The narrows of the waveguide play the role of effective potential barriers for the longitudinal motion of electrons. Two narrows form a quantum resonator where a resonant tunneling can occur. It means that electrons with energy in a small range pass through the resonator with probability near to 1. In presence of magnetic field, the aforementioned range splits into two intervals. Electrons with spin +1/2 can pass through the resonator only if their energies are in one of these intervals and electrons with spin -1/2 can pass only having energies in the second one. Hence, all electrons in the outgoing flow have similarly oriented spins, i. e. The electron flow becomes polarized. The intervals are rapidly decreasing as the diameter of narrows tends to 0, which presents difficulties for numerical simulation of the phenomenon. The full qualitative description of the phenomenon can be given only by asymptotic analysis. We consider an infinite waveguide with two cylindrical ends and two narrows of small diameter. Part of the resonator is placed into magnetic field. We give an asymptotic description of the electron wave propagation in such a waveguide as diameters of the narrows tend to zero.",
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Baskin, L, Neittaanmäki, P & Sarafanov, O 2012, Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field. в ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers, стр. 253-262, Vienna, Австрия, 10/09/12.

Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field. / Baskin, Lev; Neittaanmäki, Pekka; Sarafanov, Oleg.

ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. стр. 253-262 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

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N2 - We consider electron motion in quantum waveguides with variable cross-sections. The narrows of the waveguide play the role of effective potential barriers for the longitudinal motion of electrons. Two narrows form a quantum resonator where a resonant tunneling can occur. It means that electrons with energy in a small range pass through the resonator with probability near to 1. In presence of magnetic field, the aforementioned range splits into two intervals. Electrons with spin +1/2 can pass through the resonator only if their energies are in one of these intervals and electrons with spin -1/2 can pass only having energies in the second one. Hence, all electrons in the outgoing flow have similarly oriented spins, i. e. The electron flow becomes polarized. The intervals are rapidly decreasing as the diameter of narrows tends to 0, which presents difficulties for numerical simulation of the phenomenon. The full qualitative description of the phenomenon can be given only by asymptotic analysis. We consider an infinite waveguide with two cylindrical ends and two narrows of small diameter. Part of the resonator is placed into magnetic field. We give an asymptotic description of the electron wave propagation in such a waveguide as diameters of the narrows tend to zero.

AB - We consider electron motion in quantum waveguides with variable cross-sections. The narrows of the waveguide play the role of effective potential barriers for the longitudinal motion of electrons. Two narrows form a quantum resonator where a resonant tunneling can occur. It means that electrons with energy in a small range pass through the resonator with probability near to 1. In presence of magnetic field, the aforementioned range splits into two intervals. Electrons with spin +1/2 can pass through the resonator only if their energies are in one of these intervals and electrons with spin -1/2 can pass only having energies in the second one. Hence, all electrons in the outgoing flow have similarly oriented spins, i. e. The electron flow becomes polarized. The intervals are rapidly decreasing as the diameter of narrows tends to 0, which presents difficulties for numerical simulation of the phenomenon. The full qualitative description of the phenomenon can be given only by asymptotic analysis. We consider an infinite waveguide with two cylindrical ends and two narrows of small diameter. Part of the resonator is placed into magnetic field. We give an asymptotic description of the electron wave propagation in such a waveguide as diameters of the narrows tend to zero.

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Baskin L, Neittaanmäki P, Sarafanov O. Asymptotics of electron flow spin-polarization in quantum waveguides of variable cross-section in presence of magnetic field. В ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. стр. 253-262. (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).