A "hybrid plane" with spin-orbit interaction
Pavel Exner, Petr \v{S}eba
TL;DR
This paper investigates the quantum dynamics of a spin-1/2 particle in a plane with spin-orbit interaction, attached to a lead, deriving Hamiltonians and Green functions for scattering analysis.
Contribution
It introduces a class of Hamiltonians for a spin-orbit coupled quantum system with a lead attachment and provides explicit Green function expressions for scattering studies.
Findings
Derived explicit Green functions for the system
Constructed admissible Hamiltonians with spin-orbit interaction
Analyzed scattering in a hybrid quantum system
Abstract
In this paper we attempt to reconstruct one of the last projects of Volodya Geyler which remained unfinished. We study motion of a quantum particle in the plane to which a halfline lead is attached assuming that the particle has spin and the plane component of the Hamiltonian contains a spin-orbit interaction of either Rashba or Dresselhaus type. We construct the class of admissible Hamiltonians and derive an explicit expression for the Green function applying it to the scattering in such a system.
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