Resonant Tunneling between Luttinger Liquids: A Solvable Case

A. Komnik and A. O. Gogolin
Phys. Rev. Lett. 90, 246403 – Published 19 June 2003

Abstract

We discuss the conductance of a Luttinger liquid interrupted by a quantum dot containing a single resonant level. Using bosonization and refermionization methods, we find a mapping to a Kondo-type problem which possesses a nontrivial Toulouse-type solvable point. At this point, we obtain an analytic expression for the nonlinear current-voltage characteristics and analyze the differential conductance and the width of the resonance peak as functions of bias and gate voltages, temperature, and barrier asymmetry. We also determine the exact scaling function for the linear conductance.

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  • Received 22 November 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.246403

©2003 American Physical Society

Authors & Affiliations

A. Komnik1 and A. O. Gogolin2

  • 1Physikalisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany
  • 2Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2BZ, United Kingdom

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Issue

Vol. 90, Iss. 24 — 20 June 2003

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