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

We calculate the probability distribution of the local density of states I½ 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 I½, but diverges instead â��I½-1/2. The log-normal tail appears if I½ 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

• Publication year

  2001

• Venue

  Physical Review B

• Publication date

  2001-07-18

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevB.65.121101arXiv cond-mat/0107383
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

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• No concepts are published for this paper.

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