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Center for Nonlinear Studies |
We analyze the fixed-point stability, and evaluate the conductance of junctions of two and three spinless quantum wires with different Luttinger parameters. For two wires, the physical properties are governed by a single effective Luttinger parameter. We present numerical density-matrix-renormalization-group calculations of the conductance of a junction of two spinless Hubbard chains with different interaction strengths, which show very good agreement with the analytical predictions. For three wires, i.e, a Y junction, we analytically determine the full phase diagram, and compute all fixed-point conductances as a function of the three Luttinger parameters.
Host: Kipton Barros, T-4 and CNLS