Comparison of asymptotic and numerical studies of electron flow spin-polarization in quantum waveguide in magnetic field

M. Kabardov, P. Neittaanmäki

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

The process of electron flow spin-polarization in a waveguide with two narrows in magnetic field is investigated. Asymptotic formulas for the main characteristics of resonant tunneling for 'sufficiently small' diameters of the waveguide's narrows are presented. They contain constants, which are found numerically by solving some auxiliary problems. Also, we obtain the same characteristics of the process by means of numerical calculation of the waveguide's scattering matrix. The obtained results show that asymptotic and numerical methods give equivalent outcomes at wide band of the narrows' diameters. The numerical method becomes ill-conditioned as the diameter decreases. However, the asymptotics remains reliable at such condition. On the other hand, the asymptotics gives way to the numerical method as the diameter increases; in fact, for wide narrows the resonant tunneling vanishes by itself.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages455-466
Number of pages12
StatePublished - 2012
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 10 Sep 201214 Sep 2012

Publication series

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

Conference

Conference6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Country/TerritoryAustria
CityVienna
Period10/09/1214/09/12

Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

Keywords

  • Asymptotic approximation
  • Electron flow
  • Magnetic field
  • Polarization
  • Quantum waveguide
  • Scattering matrix
  • Spin

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