Scaling and Localization Lengths of a Topologically Disordered System
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| dc.contributor.author |
Krich, Jacob Jonathan
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|
| dc.contributor.author |
Aspuru-Guzik, Alán
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| dc.date.accessioned |
2012-03-18T23:20:11Z |
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| dc.date.issued |
2011 |
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| dc.identifier.citation |
Krich, Jacob Jonathan, and Alán Aspuru-Guzik. 2011. Scaling and localization lengths of a topologically disordered system. Physical Review Letters 106(15): 156405. |
en_US |
| dc.identifier.issn |
0031-9007 |
en_US |
| dc.identifier.issn |
1079-7114 |
en_US |
| dc.identifier.uri |
http://nrs.harvard.edu/urn-3:HUL.InstRepos:8404293 |
|
| dc.description.abstract |
We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical evidence that this model displays the same universal behavior as the standard Anderson model. We use finite-size scaling to find the localization length as a function of energy and density, including localized states away from the delocalization transition. Results at many energies all fit onto the same universal scaling curve. |
en_US |
| dc.description.sponsorship |
Chemistry and Chemical Biology |
en_US |
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
American Physical Society |
en_US |
| dc.relation.isversionof |
doi:10.1103/PhysRevLett.106.156405 |
en_US |
| dc.relation.hasversion |
http://arxiv.org/abs/1101.3785 |
en_US |
| dash.license |
OAP |
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| dc.subject |
neural networks |
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| dc.subject |
disordered systems |
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| dc.title |
Scaling and Localization Lengths of a Topologically Disordered System |
en_US |
| dc.type |
Journal Article |
en_US |
| dc.description.version |
Author's Original |
en_US |
| dc.relation.journal |
Physical Review Letters |
en_US |
| dash.depositing.author |
Aspuru-Guzik, Alán
|
|
| dc.date.available |
2012-03-18T23:20:11Z |
|
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FAS Scholarly Articles [5133]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
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