Phys. Rev. B 72, 085318 (2005) [9 pages]Tunneling in fractional quantum Hall line junctionsSee Also: Erratum Received 7 February 2005; revised 31 May 2005; published 4 August 2005 We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian. Our results apply to the case of a pair of different two-dimensional electron gases in the fractional quantum Hall regime separated by a barrier, e.g., electron tunneling. We also discuss the case of strong interactions between the edges, leading to nonuniversal exponents even in the case of integer quantum Hall edges. In addition to the expected nonlinearities due to the Luttinger properties of the edges, there are additional interference patterns due to the finite length of the barrier. We apply the same perturbative calculation to find the current noise through the barrier. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.085318
DOI:
10.1103/PhysRevB.72.085318
PACS:
73.43.−f, 71.35.Lk, 71.23.An
See AlsoErratum: M. Aranzana, N. Regnault, and Th. Jolicoeur, Erratum: Tunneling in fractional quantum Hall line junctions [Phys. Rev. B 72, 085318 (2005)], Phys. Rev. B 74, 249902 (2006). |
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