Resonance in a Tomonaga-Luttinger liquid

Abstract

We study a homogeneous Tomonaga-Luttinger liquid with backscattering potential. A perturbative computation of the conductance at and near resonance is given. We find that the backscattering of one electron dominates that of two electrons for an interaction parameter $K\ge 1/3$ and that the resonance point depends on temperature. Our results may be relevant for recent experiments on shot-noise in FQHE, where the charge 1/3 and not $2\ast 1/3$ is measured on resonance.

15 pages, three Figures. v2: Definite version, Citations added, presentation improved. To appear in Phys. Rev. B, Rapid Com

References in corpus (2)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Conductance of a quantum wire: Landauer's approach versus Kubo formula

Cited by in corpus (6)

• Shot Noise in Mesoscopic Conductors
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Determination of tunneling charge via current measurements
• Transport through quasi-ballistic quantum wires: the role of contacts
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Conductance through contact barriers of a finite length quantum wire