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- Publisher Website: 10.1088/0953-8984/26/27/274209
- Scopus: eid_2-s2.0-84902670026
- PMID: 24934293
- WOS: WOS:000338702600012
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Article: Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions
Title | Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions |
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Authors | |
Issue Date | 2014 |
Citation | Journal of Physics Condensed Matter, 2014, v. 26, n. 27, article no. 274209 How to Cite? |
Abstract | We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical medium theory utilizes the momentum-resolved typical density of states and hybridization function to characterize the localization transition. We apply the formalism to the Anderson model of localization in one- and two-dimensions. In one-dimension, we find that the critical disorder strength scales inversely with the linear cluster size with a power law, Wc ∼ (1/Lc) 1/ν , whereas in two-dimensions, the critical disorder strength decreases logarithmically with the linear cluster size. Our results are consistent with previous numerical work and are in agreement with the one-parameter scaling theory. © 2014 IOP Publishing Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/268558 |
ISSN | 2021 Impact Factor: 2.745 2020 SCImago Journal Rankings: 0.908 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ekuma, Chinedu E. | - |
dc.contributor.author | Terletska, Hanna | - |
dc.contributor.author | Meng, Zi Yang | - |
dc.contributor.author | Moreno, Juana | - |
dc.contributor.author | Jarrell, Mark | - |
dc.contributor.author | Mahmoudian, Samiyeh | - |
dc.contributor.author | Dobrosavljević, Vladimir | - |
dc.date.accessioned | 2019-03-25T08:00:03Z | - |
dc.date.available | 2019-03-25T08:00:03Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Journal of Physics Condensed Matter, 2014, v. 26, n. 27, article no. 274209 | - |
dc.identifier.issn | 0953-8984 | - |
dc.identifier.uri | http://hdl.handle.net/10722/268558 | - |
dc.description.abstract | We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical medium theory utilizes the momentum-resolved typical density of states and hybridization function to characterize the localization transition. We apply the formalism to the Anderson model of localization in one- and two-dimensions. In one-dimension, we find that the critical disorder strength scales inversely with the linear cluster size with a power law, Wc ∼ (1/Lc) 1/ν , whereas in two-dimensions, the critical disorder strength decreases logarithmically with the linear cluster size. Our results are consistent with previous numerical work and are in agreement with the one-parameter scaling theory. © 2014 IOP Publishing Ltd. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Physics Condensed Matter | - |
dc.title | Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1088/0953-8984/26/27/274209 | - |
dc.identifier.pmid | 24934293 | - |
dc.identifier.scopus | eid_2-s2.0-84902670026 | - |
dc.identifier.volume | 26 | - |
dc.identifier.issue | 27 | - |
dc.identifier.spage | article no. 274209 | - |
dc.identifier.epage | article no. 274209 | - |
dc.identifier.eissn | 1361-648X | - |
dc.identifier.isi | WOS:000338702600012 | - |
dc.identifier.issnl | 0953-8984 | - |