dc.contributor.author | Arnold, Douglas N. | |
dc.contributor.author | David, Guy | |
dc.contributor.author | Jerison, David | |
dc.contributor.author | Mayboroda, Svitlana | |
dc.contributor.author | Filoche, Marcel | |
dc.date.accessioned | 2016-02-09T13:34:35Z | |
dc.date.available | 2016-02-09T13:34:35Z | |
dc.date.issued | 2016-02 | |
dc.date.submitted | 2015-05 | |
dc.identifier.issn | 0031-9007 | |
dc.identifier.issn | 1079-7114 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/101121 | |
dc.description.abstract | The amplitude of localized quantum states in random or disordered media may exhibit long-range exponential decay. We present here a theory that unveils the existence of an effective potential which finely governs the confinement of these states. In this picture, the boundaries of the localization subregions for low energy eigenfunctions correspond to the barriers of this effective potential, and the long-range exponential decay characteristic of Anderson localization is explained as the consequence of multiple tunneling in the dense network of barriers created by this effective potential. Finally, we show that Weyl’s formula based on this potential turns out to be a remarkable approximation of the density of states for a large variety of one-dimensional systems, periodic or random. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1069225) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1500771) | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevLett.116.056602 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | American Physical Society | en_US |
dc.title | Effective Confining Potential of Quantum States in Disordered Media | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Arnold, Douglas N., Guy David, David Jerison, Svitlana Mayboroda, and Marcel Filoche. “Effective Confining Potential of Quantum States in Disordered Media.” Physical Review Letters 116, no. 5 (February 5, 2016). © 2016 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Jerison, David | en_US |
dc.relation.journal | Physical Review Letters | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2016-02-05T23:00:17Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | American Physical Society | |
dspace.orderedauthors | Arnold, Douglas N.; David, Guy; Jerison, David; Mayboroda, Svitlana; Filoche, Marcel | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-9357-7524 | |
mit.license | PUBLISHER_POLICY | en_US |