Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
arXiv:cond-mat/9505031 · doi:10.1103/PhysRevLett.75.2196
Abstract
A point contact in a Luttinger liquid couples the 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 of the interaction ensures the existence of a quasiparticle basis where quasiparticles scatter ``one by one'' off the point contact. This enables us to apply a direct generalization of the Landauer approach to shot noise to this interacting model. We find a simple relation of the noise to the current and the differential conductance. Our results should be experimentally-testable in a fractional quantum Hall effect device, providing a clear signal of the fractional charge of the Laughlin quasiparticles.
4 pages in revtex two-column, one figure.
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