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Quantum logarithmic multifractality
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DOI：10.1103/PhysRevResearch.6.L032024.png)
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Abstract
En 中文
Through a combination of rigorous analytical derivations and extensive numerical simulations, this work reports an exotic multifractal behavior, dubbed logarithmic multifractality, in effectively infinite-dimensional systems undergoing the Anderson transition. In contrast to conventional multifractality observed in finite dimensions, logarithmic multifractality at infinite dimension introduces an algebraic behavior with respect to the logarithm of system size or time. We demonstrate this phenomenon across eigenstate statistics, spatial correlations, and wave packet dynamics. Our findings offer crucial insights into strong finite-size effects and slow dynamics in complex systems undergoing the Anderson transition, such as the many-body localization transition.
Keywords:
ANDERSON LOCALIZATION
VIBRATIONAL-MODES
TRANSITION
ENSEMBLE
SYSTEM
CHAOS
Journal
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7.6K
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