Abstract:
By applying the supersymmetric approach we rigorously prove smoothness of the averaged density of states for a three dimensional random band matrix ensemble, in the limit of infinite volume and fixed band width. We also prove that the resulting expression for the density of states coincides with the Wigner semicircle with a precision 1/W 2, for W large but fixed.
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Received: 6 February 2002 / Accepted: 17 July 2002 Published online: 7 November 2002
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ID="*" Supported by NSF grant DMS 9729992
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Disertori, M., Pinson, H. & Spencer, T. Density of States for Random Band Matrices. Commun. Math. Phys. 232, 83–124 (2002). https://doi.org/10.1007/s00220-002-0733-0
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DOI: https://doi.org/10.1007/s00220-002-0733-0