Junction of several weakly interacting quantum wires: a renormalization group study

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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RevTeX, 13 pages, including 4 eps figures

Scientific paper

10.1103/PhysRevB.66.165327

We study the conductance of three or more semi-infinite wires which meet at a junction. The electrons in the wires are taken to interact weakly with each other through a short-range density-density interaction, and they encounter a general scattering matrix at the junction. We derive the renormalization group equations satisfied by the S-matrix, and we identify its fixed points and their stabilities. The conductance between any pair of wires is then studied as a function of physical parameters such as temperature. We discuss the possibility of observing the effects of junctions in present day experiments, such as the four-terminal conductance of a quantum wire and crossed quantum wires.

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