A single defect approximation for localized states on random lattices

Details A single defect approximation for localized states on random lattices A single defect approximation for localized states on random lattices

1999-02-02

arxiv.org/abs/cond-mat/9902032v2

J. Phys. A: Math. Gen. (1999) 32 L255

Physics

Condensed Matter

Statistical Mechanics

final version as published, 6 pages, 1 ps-figure

Scientific paper

10.1088/0305-4470/32/24/101

Geometrical disorder is present in many physical situations giving rise to eigenvalue problems. The simplest case of diffusion on a random lattice with fluctuating site connectivities is studied analytically and by exact numerical diagonalizations. Localization of eigenmodes is shown to be induced by geometrical defects, that is sites with abnormally low or large connectivities. We expose a ``single defect approximation'' (SDA) scheme founded on this mechanism that provides an accurate quantitative description of both extended and localized regions of the spectrum. We then present a systematic diagrammatic expansion allowing to use SDA for finite-dimensional problems, e.g. to determine the localized harmonic modes of amorphous media.

Affiliated with

Also associated with

No associations

Rating

A single defect approximation for localized states on random lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A single defect approximation for localized states on random lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A single defect approximation for localized states on random lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457953