# Anderson localization transitions with and without random potentials

## Author(s): Devakul, Trithep; Huse, David A

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr13x83k4x
DC FieldValueLanguage
dc.contributor.authorDevakul, Trithep-
dc.contributor.authorHuse, David A-
dc.date.accessioned2022-01-25T15:03:08Z-
dc.date.available2022-01-25T15:03:08Z-
dc.date.issued2017-12-06en_US
dc.identifier.citationDevakul, Trithep, Huse, David A. (2017). Anderson localization transitions with and without random potentials. PHYSICAL REVIEW B, 96 (10.1103/PhysRevB.96.214201en_US
dc.identifier.issn2469-9950-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr13x83k4x-
dc.description.abstractWe explore single-particle Anderson localization due to nonrandom quasiperiodic potentials in two and three dimensions. We introduce a class of self-dual models that generalize the one-dimensional Aubry-Andre model to higher dimensions. In three dimensions (3D) we find that the Anderson localization transitions appear to be in the same universality class as for random potentials. In scaling or renormalization group terms, this means that randomness of the potential is irrelevant at the Anderson localization transitions in 3D. In two dimensions (2D) we also explore the Ando model, which is in the symplectic symmetry class and shows an Anderson localization transition for random potentials. Here, unlike in 3D, we find that the universality class changes when we instead use a quasiperiodic potential.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Ben_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleAnderson localization transitions with and without random potentialsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.96.214201-
dc.date.eissued2017-12-01en_US
dc.identifier.eissn2469-9969-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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