Transport in Double-Crossed Luttinger Liquids

Abstract

We study transport through two Luttinger liquids (one-dimensional electrons interacting through a Coulomb repulsion in a metal) coupled together at {\it two} points. External voltage biases are incorporated through boundary conditions. We include density-density couplings as well as single-particle hops at the contacts. For weak repulsive interactions, transport through the wires remains undisturbed by the inter-wire couplings, which renormalise to zero. For strong repulsive interactions, the inter-wire couplings become strong. For symmetric barriers and no external voltage bias, a single gate voltage is sufficient to tune for resonance transmission in both wires. However, for asymmetric couplings or for finite external biases, the system is insulating.

Latex file, 11 pages, one eps figure

References in corpus (4)

• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Bosonization for Beginners --- Refermionization for Experts
• Nonequilibrium transport for crossed Luttinger liquids

Cited by in corpus (5)

• Renormalization group study of the conductances of interacting quantum wire systems with different geometries
• Transport through multiply connected quantum wires
• Conductance renormalization and conductivity of a multi-subband Tomonaga-Luttinger model
• Transport in Luttinger Liquids
• Transport in a class of exactly solvable models of interacting fermions