Density of States for Random Band Matrices
Density of States for Random Band Matrices
复制标题
随机带矩阵的态密度
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Thomas Spencer
中科院分区：
文献类型：
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作者：
M. Disertori;Haru T. Pinson;Thomas Spencer
摘要：通过应用超对称方法，我们严格证明了在无限体积和固定带宽的限制下三维随机带状矩阵系综的平均态密度的平滑性。我们还证明，对于 W 较大但固定的情况，所得到的态密度表达式与精度为 1/W2 的维格纳半圆一致。
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/W2, for W large but fixed.