{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,22]],"date-time":"2026-02-22T03:59:29Z","timestamp":1771732769779,"version":"3.50.1"},"reference-count":14,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2020,4,16]],"date-time":"2020-04-16T00:00:00Z","timestamp":1586995200000},"content-version":"vor","delay-in-days":106,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["EPJ Web Conf."],"published-print":{"date-parts":[[2020]]},"abstract":"<jats:p>In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem\u00acperature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for <jats:italic>\u03b1<\/jats:italic> &gt; 1 and a localization length which diverges as <jats:italic>\u03be \u221d<\/jats:italic> (1 \u2013 <jats:italic>\u03b1<\/jats:italic>)<jats:sup>\u20131<\/jats:sup> for <jats:italic>\u03b1<\/jats:italic> \u2192 1<jats:sup>\u2013<\/jats:sup>, at all energies in the weak disorder limit (as previously seen in [12]).<\/jats:p>","DOI":"10.1051\/epjconf\/202023305011","type":"journal-article","created":{"date-parts":[[2020,4,17]],"date-time":"2020-04-17T17:22:52Z","timestamp":1587144172000},"page":"05011","source":"Crossref","is-referenced-by-count":7,"title":["Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method"],"prefix":"10.1051","volume":"233","author":[{"given":"N.A.","family":"Khan","sequence":"first","affiliation":[]},{"given":"J.P.","family":"Santos Pires","sequence":"additional","affiliation":[]},{"given":"J.M.","family":"Viana Parente Lopes","sequence":"additional","affiliation":[]},{"given":"J.M.B.","family":"Lopes dos Santos","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2020,4,16]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1103\/RevModPhys.78.275","volume":"78","author":"Wei\u00dfe","year":"2006","journal-title":"Rev. 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(North-Holland, New York, 1979)."},{"key":"R8","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.physrep.2011.11.002","volume":"512","author":"Izrailev","year":"2012","journal-title":"Phys. Rep."},{"key":"R9","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1103\/RevModPhys.57.287","volume":"57","author":"Lee","year":"1985","journal-title":"Rev. Mod. Phys."},{"key":"R10","doi-asserted-by":"crossref","first-page":"3735","DOI":"10.1103\/PhysRevLett.81.3735","volume":"81","author":"de Moura","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"R11","doi-asserted-by":"crossref","first-page":"195443","DOI":"10.1103\/PhysRevB.87.195443","volume":"87","author":"Petersen","year":"2013","journal-title":"Phys. Rev."},{"key":"R12","doi-asserted-by":"crossref","first-page":"205148","DOI":"10.1103\/PhysRevB.99.205148","volume":"99","author":"Santos Pires","year":"2019","journal-title":"Phys. Rev. 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(Academic Press, 2014)."}],"container-title":["EPJ Web of Conferences"],"original-title":[],"link":[{"URL":"https:\/\/www.epj-conferences.org\/10.1051\/epjconf\/202023305011\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,17]],"date-time":"2020-04-17T17:28:25Z","timestamp":1587144505000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.epj-conferences.org\/10.1051\/epjconf\/202023305011"}},"subtitle":[],"editor":[{"given":"B.G.","family":"Almeida","sequence":"first","affiliation":[]},{"given":"J.","family":"Agostinho Moreira","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":14,"alternative-id":["epjconf_cmpnc2019_05011"],"URL":"https:\/\/doi.org\/10.1051\/epjconf\/202023305011","relation":{},"ISSN":["2100-014X"],"issn-type":[{"value":"2100-014X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}