Conductance of Interacting Quasi-One-Dimensional Electron Gas with a Scatterer

Abstract

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the barrier to the case of intersubband interactions, find its fixed points, and investigate their stability. Depending on the interaction parameters, the conductance may be equal to 0, $e^2/h$, or $2e^2/h$ per spin projection. In some parameter ranges, two stable fixed points may coexist, so the ultimate conductance depends on the properties of the bare barrier. For spinful electrons, the conductance of the wire may nonmonotonically depend on the Fermi level and temperature.

arXiv comment9 pages, 4 figures, published version

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Cited by in corpus (3)

• Local impurity in multichannel Luttinger liquid
• Metal-insulator transition in a sliding Luttinger liquid with line defects
• Resonant reflection of interacting electrons from an impurity in a quantum wire: interplay of Zeeman and spin-orbit effects