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Tunneling into a nonequilibrium Luttinger liquid with impurity

Stéphane Ngo Dinh, Dmitry A. Bagrets, and Alexander D. Mirlin
Phys. Rev. B 81, 081306(R) – Published 24 February 2010

Abstract

We evaluate tunneling rates into/from a voltage (U) biased quantum wire containing a weak backscattering defect. Interacting electrons in such a wire form a true nonequilibrium state of the Luttinger liquid (LL). This state is created due to inelastic electron backscattering leading to the emission of nonequilibrium plasmons with typical frequency ωU. The tunneling rates are split in two edges. The tunneling exponent at the Fermi edge is positive and equals that of the equilibrium LL, while the exponent at the side edge EFU is negative if Coulomb interaction is not too strong.

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  • Received 19 December 2009

DOI:https://doi.org/10.1103/PhysRevB.81.081306

©2010 American Physical Society

Authors & Affiliations

Stéphane Ngo Dinh1,2, Dmitry A. Bagrets3, and Alexander D. Mirlin1,2,3,4

  • 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • 2DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • 3Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
  • 4Petersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia

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Issue

Vol. 81, Iss. 8 — 15 February 2010

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