Breeding of the running spin-waves with standing spin-modes in a quantum well

Boris S. Pavlov, Adil M. Yafyasov

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review


Spin-depending scattering is studied on a two-dimensional quantum network constructed of a quantum well with three semi-infinite quantum wires (an input wire and two terminals ) attached to it. The spin-orbital interaction causing selective scattering in the network is described by the Rashba Hamiltonian. The transmission of electrons across the well from the input quantum wire to terminals is caused by the excitation of a resonance oscillatory spin-mode in the well. For thin quantum networks we suggest also an approximate formula which defines the resonance transmission of electrons across the quantum well, depending on the shape of the standing spin-mode in the quantum well.

Original languageEnglish
Title of host publicationAnalysis as a Tool in Mathematical Physics
Subtitle of host publicationIn Memory of Boris Pavlov
EditorsPavel Kurasov, Ari Laptev, Sergey Naboko, Barry Simon
Place of PublicationBirkhäuser, Cham
PublisherSpringer Nature
Number of pages29
ISBN (Electronic)9783030315313
ISBN (Print)9783030315306
StatePublished - 2020

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Scopus subject areas

  • Analysis

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