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arXiv · 2203.14847

Correlation of local densities of states on mesoscopic energy scales in random band matrices

Justine Louis
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Abstract

We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width $W$ in dimension $2$. As a result, we show that the local densities of states are alternately positively and negatively correlated in the diffusive regime $O(\log(L/W))$ times, $L$ being the size of he system.

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Justine Louis. 2022-03-28. Correlation of local densities of states on mesoscopic energy scales in random band matrices. https://doi.org/10.1007/s11005-023-01690-y

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