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Singularities in spectra of disordered systems

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  • Nieuwenhuizen, Th.M.

Abstract

This paper starts with a review of work on singularities in the spectral density of random harmonic chains. Detailed descriptions of singular behavior near the maximal frequency, near special frequencies and near island frequencies are discussed. Next the site-disordered Anderson model is considered. Here the discussion is limited to the singularity in the density of states near the low-energy band edge for systems with arbitrary disorder in dimensions d = 1, 2, 3. In a specific example it is shown that renormalization improves the prediction for the band tail quantitatively.

Suggested Citation

  • Nieuwenhuizen, Th.M., 1990. "Singularities in spectra of disordered systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(1), pages 43-65.
    • Handle: RePEc:eee:phsmap:v:167:y:1990:i:1:p:43-65
    DOI: 10.1016/0378-4371(90)90043-R
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