Affiliation:
1. National University of Singapore
2. MajuLab
3. Centre for Quantum Technologies
4. Université Paris-Saclay
5. Laboratoire de Physique Théorique
6. Université de Toulouse
Abstract
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.
Published by the American Physical Society
2024
Funder
Agence Nationale de la Recherche
Ministry of Education - Singapore
National Supercomputing Centre Singapore
National University of Singapore
National Research Foundation Singapore
Publisher
American Physical Society (APS)
Cited by
1 articles.
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