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Microscopic versus mesoscopic local density of states in one-dimensional localization

H. Schomerus, M. Titov, P. W. Brouwer, and C. W. J. Beenakker
Phys. Rev. B 65, 121101(R) – Published 12 March 2002
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Abstract

We calculate the probability distribution of the local density of states ν in a disordered one-dimensional conductor or single-mode waveguide, attached at one end to an electron or photon reservoir. We show that this distribution does not display a log-normal tail for small ν, but diverges instead ν1/2. The log-normal tail appears if ν is averaged over rapid oscillations on the scale of the wavelength. There is no such qualitative distinction between microscopic and mesoscopic densities of states if the levels are broadened by inelastic scattering or absorption, rather than by coupling to a reservoir.

  • Received 3 January 2002

DOI:https://doi.org/10.1103/PhysRevB.65.121101

©2002 American Physical Society

Authors & Affiliations

H. Schomerus1, M. Titov2, P. W. Brouwer3, and C. W. J. Beenakker2

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
  • 2Instituut-Lorentz, Universiteit Leiden, P. O. Box 9506, 2300 RA Leiden, The Netherlands
  • 3Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501

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Issue

Vol. 65, Iss. 12 — 15 March 2002

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