Exact Nonequilibrium dc Shot Noise in Luttinger Liquids and Fractional Quantum Hall Devices

P. Fendley; A. W. W. Ludwig; H. Saleur

doi:10.1103/PhysRevLett.75.2196

Exact Nonequilibrium dc Shot Noise in Luttinger Liquids and Fractional Quantum Hall Devices

P. Fendley, A. W. W. Ludwig, and H. Saleur

Phys. Rev. Lett. 75, 2196 – Published 11 September 1995

Abstract

A point contact in a Luttinger liquid couples left- and right-moving channels, producing shot noise. We calculate exactly the dc shot noise at zero temperature in the out-of-equilibrium steady state where current is flowing. Integrability ensures the existence of a quasiparticle basis where scattering is “one by one” off the point contact, enabling us to generalize the Landauer approach to shot noise to this interacting model. Experiments in a fractional quantum Hall effect device should test our results, providing a clear signal of the fractional charge of the Laughlin quasiparticles.

Received 2 June 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.2196

Authors & Affiliations

P. Fendley¹, A. W. W. Ludwig², and H. Saleur¹

¹Department of Physics, University of Southern California, Los Angeles, California 90089-0484
²Physics Department, University of California, Santa Barbara, California 93106