Transfer matrix approach to 1d random band matrices: density of states
Autor: | Shcherbina, Mariya, Shcherbina, Tatyana |
---|---|
Rok vydání: | 2016 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/s10955-016-1593-x |
Popis: | We study the special case of $n\times n$ 1D Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix $J=(-W^2\triangle+1)^{-1}$. Assuming that $n\ge CW\log W\gg 1$, we prove that the averaged density of states coincides with the Wigner semicircle law up to the correction of order $W^{-1}$. Comment: 27 p |
Databáze: | arXiv |
Externí odkaz: |