Non-local corrections to the typical medium theory of Anderson localization
We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. Applying our method to the box and binary alloy disorder distributions, we find a fast convergence with the cluster size. We demonstrate the importance of the typic...
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| Veröffentlicht in: | Annals of physics 2021-12, Vol.435 (P1), p.168454, Article 168454 |
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| container_title | Annals of physics |
| container_volume | 435 |
| creator | Terletska, H. Moilanen, A. Tam, K.-M. Zhang, Y. Wang, Y. Eisenbach, M. Vidhyadhiraja, N.S. Chioncel, L. Moreno, J. |
| description | We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. Applying our method to the box and binary alloy disorder distributions, we find a fast convergence with the cluster size. We demonstrate the importance of the typical medium environment and the non-local spatial correlations for the proper characterization of the localization transition. As the cluster size increases, our typical medium cluster method recovers the correct critical disorder strength for the transition. Our findings highlight the importance of the non-local cluster corrections for capturing the localization behavior of the mobility edge trajectories. Our results demonstrate that the typical medium cluster approach developed here provides a consistent and systematic description of the Anderson localization transition in the framework of the effective medium embedding schemes. |
| doi_str_mv | 10.1016/j.aop.2021.168454 |
| format | Article |
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Applying our method to the box and binary alloy disorder distributions, we find a fast convergence with the cluster size. We demonstrate the importance of the typical medium environment and the non-local spatial correlations for the proper characterization of the localization transition. As the cluster size increases, our typical medium cluster method recovers the correct critical disorder strength for the transition. Our findings highlight the importance of the non-local cluster corrections for capturing the localization behavior of the mobility edge trajectories. Our results demonstrate that the typical medium cluster approach developed here provides a consistent and systematic description of the Anderson localization transition in the framework of the effective medium embedding schemes.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2021.168454</identifier><language>eng</language><publisher>United States: Elsevier Inc</publisher><subject>Anderson localization ; Cluster embedding ; Disorder ; TMDCA ; Typical medium approach</subject><ispartof>Annals of physics, 2021-12, Vol.435 (P1), p.168454, Article 168454</ispartof><rights>2021 Elsevier Inc.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c367t-c2c74165f14c172d97335c87670d0cb2a41a4c29669fc6b400e88cc769852b513</citedby><cites>FETCH-LOGICAL-c367t-c2c74165f14c172d97335c87670d0cb2a41a4c29669fc6b400e88cc769852b513</cites><orcidid>0000-0002-7277-1061 ; 0000-0002-7601-9934 ; 0000-0003-1424-8026 ; 0000-0001-8805-8327 ; 0000000276019934 ; 0000000188058327 ; 0000000272771061 ; 0000000314248026</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0003491621000609$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/1835171$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Terletska, H.</creatorcontrib><creatorcontrib>Moilanen, A.</creatorcontrib><creatorcontrib>Tam, K.-M.</creatorcontrib><creatorcontrib>Zhang, Y.</creatorcontrib><creatorcontrib>Wang, Y.</creatorcontrib><creatorcontrib>Eisenbach, M.</creatorcontrib><creatorcontrib>Vidhyadhiraja, N.S.</creatorcontrib><creatorcontrib>Chioncel, L.</creatorcontrib><creatorcontrib>Moreno, J.</creatorcontrib><title>Non-local corrections to the typical medium theory of Anderson localization</title><title>Annals of physics</title><description>We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. 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Our results demonstrate that the typical medium cluster approach developed here provides a consistent and systematic description of the Anderson localization transition in the framework of the effective medium embedding schemes.</description><subject>Anderson localization</subject><subject>Cluster embedding</subject><subject>Disorder</subject><subject>TMDCA</subject><subject>Typical medium approach</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kE1Lw0AQhhdRsFZ_gLfgPXEm2Y8ET0X8wqIXBW9LOtnQLW227K5C_fVmjWdPAzPvM8w8jF0iFAgorzdF6_ZFCSUWKGsu-BGbITQyh0p8HLMZAFQ5b1CesrMQNgCIXNQz9vzihnzrqN1m5Lw3FK0bQhZdFtcmi4e9TaOd6eznLrWcP2SuzxZDZ3xwQ_aL2u82YefspG-3wVz81Tl7v797u33Ml68PT7eLZU6VVDGnkhRHKXrkhKrsGlVVgmolFXRAq7Ll2HIqGymbnuSKA5i6JlKyqUW5EljN2dW014VodSAbDa3JDcN4vca6EqhSCKcQeReCN73ee7tr_UEj6KRMb_SoTCdlelI2MjcTY8brv6zxabkZaPw-mdGds__QPwyGc1I</recordid><startdate>202112</startdate><enddate>202112</enddate><creator>Terletska, H.</creator><creator>Moilanen, A.</creator><creator>Tam, K.-M.</creator><creator>Zhang, Y.</creator><creator>Wang, Y.</creator><creator>Eisenbach, M.</creator><creator>Vidhyadhiraja, N.S.</creator><creator>Chioncel, L.</creator><creator>Moreno, J.</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0002-7277-1061</orcidid><orcidid>https://orcid.org/0000-0002-7601-9934</orcidid><orcidid>https://orcid.org/0000-0003-1424-8026</orcidid><orcidid>https://orcid.org/0000-0001-8805-8327</orcidid><orcidid>https://orcid.org/0000000276019934</orcidid><orcidid>https://orcid.org/0000000188058327</orcidid><orcidid>https://orcid.org/0000000272771061</orcidid><orcidid>https://orcid.org/0000000314248026</orcidid></search><sort><creationdate>202112</creationdate><title>Non-local corrections to the typical medium theory of Anderson localization</title><author>Terletska, H. ; Moilanen, A. ; Tam, K.-M. ; Zhang, Y. ; Wang, Y. ; Eisenbach, M. ; Vidhyadhiraja, N.S. ; Chioncel, L. ; Moreno, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-c2c74165f14c172d97335c87670d0cb2a41a4c29669fc6b400e88cc769852b513</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Anderson localization</topic><topic>Cluster embedding</topic><topic>Disorder</topic><topic>TMDCA</topic><topic>Typical medium approach</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Terletska, H.</creatorcontrib><creatorcontrib>Moilanen, A.</creatorcontrib><creatorcontrib>Tam, K.-M.</creatorcontrib><creatorcontrib>Zhang, Y.</creatorcontrib><creatorcontrib>Wang, Y.</creatorcontrib><creatorcontrib>Eisenbach, M.</creatorcontrib><creatorcontrib>Vidhyadhiraja, N.S.</creatorcontrib><creatorcontrib>Chioncel, L.</creatorcontrib><creatorcontrib>Moreno, J.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Annals of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Terletska, H.</au><au>Moilanen, A.</au><au>Tam, K.-M.</au><au>Zhang, Y.</au><au>Wang, Y.</au><au>Eisenbach, M.</au><au>Vidhyadhiraja, N.S.</au><au>Chioncel, L.</au><au>Moreno, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non-local corrections to the typical medium theory of Anderson localization</atitle><jtitle>Annals of physics</jtitle><date>2021-12</date><risdate>2021</risdate><volume>435</volume><issue>P1</issue><spage>168454</spage><pages>168454-</pages><artnum>168454</artnum><issn>0003-4916</issn><eissn>1096-035X</eissn><abstract>We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. 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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Anderson localization Cluster embedding Disorder TMDCA Typical medium approach |
| title | Non-local corrections to the typical medium theory of Anderson localization |
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