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Critical parameters for the disorder-induced metal-insulator transition in fcc and bcc lattices
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Eilmes, Andrzej, Fischer, Andrea M. and Roemer, Rudolf A. (2008) Critical parameters for the disorder-induced metal-insulator transition in fcc and bcc lattices. Physical Review B (Condensed Matter and Materials Physics), Vol.77 (No.24). article no. 245117 . doi:10.1103/PhysRevB.77.245117 ISSN 1098-0121.
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Official URL: http://dx.doi.org/10.1103/PhysRevB.77.245117
Abstract
We use a transfer-matrix method to study the disorder-induced metal-insulator transition. We take isotropic nearest-neighbor hopping and an onsite potential with uniformly distributed disorder. Following the previous work done on the simple-cubic lattice, we perform numerical calculations for the body-centered cubic and face-centered cubic lattices, which are more common in nature. We obtain the localization length from calculated Lyapunov exponents for different system sizes. This data is analyzed using finite-size scaling to find the critical parameters. We create an energy-disorder phase diagram for both lattice types, noting that it is symmetric about the band center for the body-centered cubic lattice but not for the face-centered cubic lattice. We find a critical exponent of approximately 1.5-1.6 for both lattice types for transitions occurring either at fixed energy or at fixed disorder, agreeing with results previously obtained for other systems belonging to the same orthogonal universality class. We notice an increase in critical disorder with the number of nearest neighbors, which agrees with intuition.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Other > Institute of Advanced Study Faculty of Science, Engineering and Medicine > Science > Physics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
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| Library of Congress Subject Headings (LCSH): | Anderson model, Metal-insulator transitions, Order-disorder models, Lattice theory | ||||
| Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1098-0121 | ||||
| Official Date: | June 2008 | ||||
| Dates: |
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| Volume: | Vol.77 | ||||
| Number: | No.24 | ||||
| Number of Pages: | 8 | ||||
| Page Range: | article no. 245117 | ||||
| DOI: | 10.1103/PhysRevB.77.245117 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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