Density of states for Random Band Matrix

Details Density of states for Random Band Matrix Density of states for Random Band Matrix

2001-11-29

arxiv.org/abs/math-ph/0111047v1

Physics

Mathematical Physics

44 pages, 3 figures

Scientific paper

10.1007/s00220-002-0733-0

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 finite.

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