Study of transport in the Harper model in the presence of thermal noise

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dc.audiencegeneralPublices_MX
dc.contributorLuca Celardo, Giuseppe
dc.contributor.authorÁlvarez Navarro, Emilio
dc.date.accessioned2022-08-24T15:01:01Z
dc.date.available2022-08-24T15:01:01Z
dc.date.issued2022-01
dc.description.abstract"In this thesis we study quantum transport of the Harper model in the presence of thermal noise. The Harper model is paradigmatic model for quantum transport which presents a metal-insulator transition in one dimension. The Harper model represents a particle hopping in a one dimensional chain with a quasi-periodic potential. Throughout the thesis, different figures of merit for transport efficiency have been studied. Specifically, we analyzed the spreading of a wave packet initially localized at the center of the chain, we calculated the diffusion coefficient using the Green-Kubo expression and we have analyzed the steady-state current. A Lindblad master equation was used to model the interaction of the system with the environment. Here the environment is dominated by uncorrelated white noise, so the Haken-Strobl approximation was used to model the environment. The steady-state current was computed using different approaches: using a Master equation which includes pumping and draining from the first and the last site, using a Master equation to compute the Average Transfer Time, and finally, we found the current in terms of the diffusion coefficient using the Green-Kubo expression".es_MX
dc.folio20220125102552-5666-Tes_MX
dc.formatpdfes_MX
dc.identificator1es_MX
dc.identifier.urihttps://hdl.handle.net/20.500.12371/16200
dc.language.isoenges_MX
dc.matricula.creator219470747es_MX
dc.publisherBenemérita Universidad Autónoma de Pueblaes_MX
dc.rights.accesopenAccesses_MX
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0es_MX
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRAes_MX
dc.subject.lccTransiciones metal-aislantees_MX
dc.subject.lccTeoría del transporte--Modelos matemáticoses_MX
dc.subject.lccRuido electrónicoes_MX
dc.subject.lccEcuaciones diferencialeses_MX
dc.thesis.careerMaestría en Ciencias (Física)es_MX
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactases_MX
dc.thesis.degreegrantorInstituto de Física "Ing. Luis Rivera Terrazas"es_MX
dc.thesis.degreetoobtainMaestro (a) en Ciencias (Física)es_MX
dc.titleStudy of transport in the Harper model in the presence of thermal noisees_MX
dc.typeTesis de maestríaes_MX
dc.type.conacytmasterThesises_MX
dc.type.degreeMaestríaes_MX
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