Dyson’s disordered linear chain from a random matrix theory viewpoint

@article{Forrester2021DysonsDL,
  title={Dyson’s disordered linear chain from a random matrix theory viewpoint},
  author={Peter J. Forrester},
  journal={Journal of Mathematical Physics},
  year={2021}
}
  • P. Forrester
  • Published 7 January 2021
  • Physics
  • Journal of Mathematical Physics
The first work of Dyson relating to random matrix theory, "The dynamics of a disordered linear chain”, is reviewed. Contained in this work is an exact solution of a so-called Type I chain in the case of the disorder variables being given by a gamma distribution. The exact solution exhibits a singularity in the density of states about the origin, which has since been shown to be universal for one-dimensional tight binding models with off diagonal disorder. We discuss this context and also point… 
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