Junctions of three quantum wires
Abstract
We study a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single-channel spinless Tomonaga-Luttinger liquids. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a non-trivial way. We study the problem using a mapping onto the dissipative Hofstadter model, describing a single particle moving on a plane in a magnetic field and a periodic potential coupled to a harmonic oscillator bath. Alternatively we study the problem by identifying boundary conditions corresponding to the low energy fixed points. We obtain a rich phase diagram including a chiral fixed point in which the asymmetric current flow is highly sensitive to the sign of the flux and a phase in which electron pair tunneling dominates. We also study the effects on the conductance tensor of the junction of contacting the three quantum wires to Fermi liquid reservoirs.
Cite
@article{arxiv.cond-mat/0509675,
title = {Junctions of three quantum wires},
author = {Masaki Oshikawa and Claudio Chamon and Ian Affleck},
journal= {arXiv preprint arXiv:cond-mat/0509675},
year = {2011}
}
Comments
Full paper of Phys.Rev.Lett. 91 (2003) 206403 (arXiv:cond-mat/0305121)