Bounds on the density of states in disordered systems

  • Franz Wegner


For a class of tight-binding models governed by short-range one-particle Hamiltonians with site-diagonal and/or off-diagonal disorder and continuous distribution of the matrix elements it is proven that the averaged density of states does neither vanish nor diverge inside the band. This refutes for these models conjectures that the density of states vanishes or diverges at the mobility edge.


Spectroscopy Neural Network State Physics Matrix Element Complex System 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Franz Wegner
    • 1
  1. 1.Institut für Theoretische Physik der Ruprecht-Karls-UniversitätHeidelberg 1Federal Republic of Germany

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