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 us 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.

arXiv:0808.2719Physical Review BFeb 24, 200963 citations

arXiv:1210.5409 · Journal of Physics A Mathematical and Theoretical

Luttinger liquid in a non-equilibrium steady state

Mihail Mintchev, P. Sorba

Published Feb 15, 2013• 38 citations

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Abstract

DOI: 10.1088/1751-8113/46/9/095006

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V

, if

V

is the largest energy scale compared to temperature

T

and inverse wire length ${L}^{\ensuremath{-}1}$, and interpolates between these quantities in the crossover regimes.