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Magnetotransport in a double quantum wire: Modeling using a scattering formalism built on the Lippmann-Schwinger equation

Vidar Gudmundsson·Chi-Shung Tang
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Abstract

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between the parallel wires allowing for inter- and intra-wire scattering processes. Due to the parity breaking of the magnetic field the ensuing subband energy spectrum of the double wire system with its regimes of hole- and electron-like propagating modes leads to a more structure rich conductance as a function of the energy of the incoming waves than is seen in a single parabolically confined quantum wire. The more complex structure of the evanescent modes of the system also leaves its marks on the conductance.

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Vidar Gudmundsson, Chi-Shung Tang. 2006-08-01. Magnetotransport in a double quantum wire: Modeling using a scattering formalism built on the Lippmann-Schwinger equation. https://doi.org/10.1103/physrevb.74.125302

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