Junctions of three quantum wires for spin 1/2 electrons

Details Junctions of three quantum wires for spin 1/2 electrons Junctions of three quantum wires for spin 1/2 electrons

2008-01-24

arxiv.org/abs/0801.3824v2

Phys.Rev.B77:155422,2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 figures

Scientific paper

10.1103/PhysRevB.77.155422

We study the effects of electron-electron interactions on the transport properties of a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single channel spin-1/2 Tomonaga-Luttinger liquids. The system exhibits a rich phase diagram as a function of the electronic interaction strength, which includes a chiral fixed point with an asymmetric current flow highly sensitive to the sign of the flux, and another fixed point where pair tunneling dominates, similarly to the case of spinless electrons. While in the case of spinless electrons the perturbations that correspond to unequal couplings between the three wires are always irrelevant, we find that, when the electron spin is included, there are small regions in the phase diagram where a current flows only between two of the wires and the third wire is decoupled.

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