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Phys.: Condens. Matter"],"published-print":{"date-parts":[[2020,3,20]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of the kernel polynomial method for systems which are not required to be translation-invariant. Some proof-of-concept results of the second-order optical conductivity are presented for the special case of gapped graphene with vacancies and an on-site Anderson disordered potential.<\/jats:p>","DOI":"10.1088\/1361-648x\/ab59ec","type":"journal-article","created":{"date-parts":[[2019,11,21]],"date-time":"2019-11-21T17:45:19Z","timestamp":1574358319000},"page":"125901","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":40,"title":["Basis-independent spectral methods for non-linear optical response in arbitrary tight-binding models"],"prefix":"10.1088","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8552-4898","authenticated-orcid":false,"given":"S M","family":"Jo\u00e3o","sequence":"first","affiliation":[]},{"given":"J M","family":"Viana Parente Lopes","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"cmab59ecbib001","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1103\/PhysRevLett.7.118","type":"journal-article","volume":"7","author":"Franken","year":"1961","journal-title":"Phys. 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