Dubova and Yang prove quantum diffusion and bulk eigenvector delocalization for 1D Gaussian random band matrices with width W ≫ N^{8/11}, improving on the earlier W ≫ N^{3/4}.
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Quantum diffusion and delocalization in one-dimensional band matrices via the flow method
Dubova and Yang prove quantum diffusion and bulk eigenvector delocalization for 1D Gaussian random band matrices with width W ≫ N^{8/11}, improving on the earlier W ≫ N^{3/4}.