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Phys. Rev. B 70, 233301 (2004) [4 pages]

Effect of interactions on the noise of chiral Luttinger liquid systems

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B. Trauzettel1,2,*, P. Roche3, D. C. Glattli3,4, and H. Saleur2,5,6
1Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
2Physikalisches Institut, Albert-Ludwigs-Universität, 79104 Freiburg, Germany
3Service de Physique de l’Etat Condensé, CEA Saclay, 91191 Gif-sur-Yvette, France
4Laboratoire Pierre Aigrain, Département de Physique de l’Ecole Normale Supérieure, 75231 Paris, France
5Department of Physics, University of Southern California, Los Angeles, California 90089-0484, USA
6Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette, France

Received 30 July 2004; published 1 December 2004

We analyze the current noise, generated at a quantum point contact in fractional quantum Hall edge state devices, using the chiral Luttinger liquid model with an impurity and the associated exact field theoretic solution. We demonstrate that an experimentally relevant regime of parameters exists where the noise coincides with the partition noise of independent Laughlin quasiparticles. However, outside of this regime, this independent particle picture breaks down and the inclusion of interaction effects is essential to understand the shot noise.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.70.233301
DOI:
10.1103/PhysRevB.70.233301
PACS:
73.43.Cd, 11.15.−q, 71.10.Pm, 73.50.Td

*Present address: Instituut-Lorentz for Theoretical Physics, University of Leiden, 2300 RA Leiden, The Netherlands.