Density of states for band random matrices with electric field

D. M. Leitner, M. Feingold

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We present a long-range hopping tight-binding model in which the ensemble averaged density of states, rho (E), undergoes a gradual transition from a homogeneous form with almost no variation to strongly peaked behaviour as an external electric field grows. The model consists of N*N band random matrices of bandwidth b. The corresponding matrix elements, hij, have all vanishing average except on the diagonal where, (hii)= alpha i. Here, the parameter alpha plays the role of the electric field. We approximate the behaviour of the width, sigma E, of the local density of states, rho L(E), and use it to predict the value of alpha around which the transition is centred.

Original languageEnglish
Article number012
Pages (from-to)7367-7376
Number of pages10
JournalJournal of Physics A: Mathematical and General
Issue number24
StatePublished - 1 Dec 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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