Critical level-statistics for weakly disordered graphene
In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither chaotic (Wigner) nor localized (Poisson) but similar to that...
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creator | Amanatidis, H Kleftogiannis, I Katsanos, D. E Evangelou, S. N |
description | In two dimensions chaotic level-statistics is expected for massless Dirac
fermions in the presence of disorder. For weakly disordered graphene flakes
with zigzag edges the obtained level-spacing distribution in the Dirac region
is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the
critical point of the Anderson metal-insulator transition. The quantum
transport in finite graphene can occur via critical edge states as in
topological insulators, for strong disorder the Dirac region vanishes and
graphene behaves as ordinary Anderson insulator. |
doi_str_mv | 10.48550/arxiv.1302.2470 |
format | Article |
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fermions in the presence of disorder. For weakly disordered graphene flakes
with zigzag edges the obtained level-spacing distribution in the Dirac region
is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the
critical point of the Anderson metal-insulator transition. The quantum
transport in finite graphene can occur via critical edge states as in
topological insulators, for strong disorder the Dirac region vanishes and
graphene behaves as ordinary Anderson insulator.</description><identifier>DOI: 10.48550/arxiv.1302.2470</identifier><language>eng</language><subject>Physics - Disordered Systems and Neural Networks ; Physics - Mesoscale and Nanoscale Physics</subject><creationdate>2013-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1302.2470$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1302.2470$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Amanatidis, H</creatorcontrib><creatorcontrib>Kleftogiannis, I</creatorcontrib><creatorcontrib>Katsanos, D. E</creatorcontrib><creatorcontrib>Evangelou, S. N</creatorcontrib><title>Critical level-statistics for weakly disordered graphene</title><description>In two dimensions chaotic level-statistics is expected for massless Dirac
fermions in the presence of disorder. For weakly disordered graphene flakes
with zigzag edges the obtained level-spacing distribution in the Dirac region
is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the
critical point of the Anderson metal-insulator transition. The quantum
transport in finite graphene can occur via critical edge states as in
topological insulators, for strong disorder the Dirac region vanishes and
graphene behaves as ordinary Anderson insulator.</description><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7tOAzEQRd2kQIGeCvkHdhl71l67RKvwkCLRpF9N7FmwcB6yV4H8PQSojnSLo3uEuFXQds4YuKfylU6tQtCt7nq4Em4oaU6Bssx84tzUmeZUf5Yqp0ORn0wf-SxjqocSuXCUb4WO77zna7GYKFe--edSbB5Xm-G5Wb8-vQwP64asgYY0TRAQoVcYvO5tH3jLztrJb12AGL326IFIM1plOu4gBgzGKRes8xaX4u5P-_t8PJa0o3IeLwXjpQC_AW83QIg</recordid><startdate>20130211</startdate><enddate>20130211</enddate><creator>Amanatidis, H</creator><creator>Kleftogiannis, I</creator><creator>Katsanos, D. E</creator><creator>Evangelou, S. N</creator><scope>GOX</scope></search><sort><creationdate>20130211</creationdate><title>Critical level-statistics for weakly disordered graphene</title><author>Amanatidis, H ; Kleftogiannis, I ; Katsanos, D. E ; Evangelou, S. N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a650-a2af0c330713c92767cebe866f9b8c0dd929390aa2e36154e40dc3c5818c68963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Amanatidis, H</creatorcontrib><creatorcontrib>Kleftogiannis, I</creatorcontrib><creatorcontrib>Katsanos, D. E</creatorcontrib><creatorcontrib>Evangelou, S. N</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Amanatidis, H</au><au>Kleftogiannis, I</au><au>Katsanos, D. E</au><au>Evangelou, S. N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Critical level-statistics for weakly disordered graphene</atitle><date>2013-02-11</date><risdate>2013</risdate><abstract>In two dimensions chaotic level-statistics is expected for massless Dirac
fermions in the presence of disorder. For weakly disordered graphene flakes
with zigzag edges the obtained level-spacing distribution in the Dirac region
is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the
critical point of the Anderson metal-insulator transition. The quantum
transport in finite graphene can occur via critical edge states as in
topological insulators, for strong disorder the Dirac region vanishes and
graphene behaves as ordinary Anderson insulator.</abstract><doi>10.48550/arxiv.1302.2470</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Disordered Systems and Neural Networks Physics - Mesoscale and Nanoscale Physics |
title | Critical level-statistics for weakly disordered graphene |
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