Conductance of an interacting quasi-one-dimensional electron gas with a scatterer

We calculate the conductance of a quantum wire with two occupied subbands in presence of a scatterer taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the obstacle to the case of intersubband interactions, find its fixed...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-06, Vol.89 (23), Article 235412
Main Authors: Borin, A. V., Nagaev, K. E.
Format: Article
Language:English
Subjects:
Condensed matter
Conductance
Interaction parameters
Mathematical analysis
Projection
Quantum wires
Scattering
Stability
Wire
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Summary:We calculate the conductance of a quantum wire with two occupied subbands in presence of a scatterer taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the obstacle 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 super(2)/h, or 2e super(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 scatterer. For spinful electrons, the conductance of the wire may nonmonotonically depend on the Fermi level and temperature.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.89.235412