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Conductance of non-interacting two-dimensional junctions of three quantum wires : general behaviors and Fano resonance Shi, Zheng


Junctions of three quantum wires, or "Y junctions", are among the basic building blocks of circuits of quantum wires. In most previous work the wires are modeled as one-dimensional objects. A step towards reality takes into account their finite width. In this thesis, we study non-interacting two-dimensional Y junctions in the single-channel regime. The generic behaviors of zero-temperature conductance of two different types of Y junctions are discussed. Particular attention is given to the asymmetric line shapes, or Fano resonances, arising in the problem.

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