For a spectrum that is a statistical mixture of independent symmetry sectors, the correlated remainder after removing Poisson-distributed gaps has expected size equal to the size-biased average of the sector dimensions.
On the problem of many-body localization
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abstract
We review recent progress in the study of transport properties of interacting electrons subject to a disordered potential which is strong enough to localize all single-particle states. This review may also serve as a guide to the recent paper by the authors [Annals of Physics (2006), in press]. Here we skip most of the technical details and make an attempt to discuss the physical grounds of the final-temperature metal-insulator transition described in the above-mentioned paper.
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cond-mat.stat-mech 1years
2026 1verdicts
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Spectral Decimation of Quantum Many-Body Hamiltonians
For a spectrum that is a statistical mixture of independent symmetry sectors, the correlated remainder after removing Poisson-distributed gaps has expected size equal to the size-biased average of the sector dimensions.