Junctions of anyonic Luttinger wires

Abstract

We present an extended study of anyonic Luttinger liquids wires jointing at a single point. The model on the full line is solved with bosonization and the junction of an arbitrary number of wires is treated imposing boundary conditions that preserve exact solvability in the bosonic language. This allows to reach, in the low momentum regime, some of the critical fixed points found with the electronic boundary conditions. The stability of all the fixed points is discussed.

16 pages, 2 figures, typos corrected, Refs added

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• Quantum Fields on Star Graphs with Bound States at the Vertex
• Correlation functions of one-dimensional strongly interacting two-component gases
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• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances
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