Tunneling in Fractional Quantum Hall line junctions
arXiv:cond-mat/0502092 · doi:10.1103/PhysRevB.72.085318
Abstract
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.
7 pages, RevTex, 12 figs, submitted to Phys Rev B
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Cited by in corpus (9)
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- Finite width of anyons changes their braiding signature
- Transport properties of a quantum wire: the role of extended time-dependent impurities
- Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
- Bound states induced giant oscillations of the conductance in the quantum Hall regime
- Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid
- Renormalization of the Coulomb blockade gap due to extended tunneling in nanoscopic junctions