Error analysis of free probability approximations to the density of states of disordered systems
Entity
UAM. Departamento de Ingeniería InformáticaPublisher
American Physical SocietyDate
2012-07-17Citation
10.1103/PhysRevLett.109.036403
Physical Review Letters 109 (2012): 036403
ISSN
0031-9007 (print); 1079-7114 (online)DOI
10.1103/PhysRevLett.109.036403Funded by
J. C., E. H., M.W., T.V., R. M., and A. E. acknowledge funding from NSF SOLAR Grant No. 1035400. J.M. acknowledges support from NSF CHE Grant No. 1112825 and DARPA Grant No. N99001-10-1-4063. A. E. acknowledges additional funding from NSF DMS Grant No. 1016125. A. S. acknowledges funding from Spain’s Dirección General de Investigación, Project TIN2010-21575-C02-02. We thank Jonathan Novak, Sebastiaan Vlaming, and Raj Rao for insightful discussionsEditor's Version
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.036403Subjects
Disordered Systems and Neural Networks; Statistics Theory; Chemical Physics; Quantum Physics; InformáticaRights
© 2012 American Physical SocietyAbstract
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the
electronic structure of disordered systems. We use free probability to approximate the ensemble-averaged
density of states without exact diagonalization. We present an error analysis that quantifies the accuracy
using a generalized moment expansion, allowing us to distinguish between different approximations. We
identify an approximation that is accurate to the eighth moment across all noise strengths, and contrast this
with perturbation theory and isotropic entanglement theory.
Files in this item
Google Scholar:Chen, Jiahao
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Hontz, Eric
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Moix, Jeremy
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Welborn, Matthew
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Van Voorhis, Troy
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Suárez González, Alberto
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Movassagh, Ramis
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Edelman, Alan
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