From Momentum to Real Space: Investigating the Hofstadter Butterfly and Landau Levels in Hexagonal Lattices

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dc.catalogadorgjm
dc.contributor.advisorSoto Garrido, Rodrigo Andrés
dc.contributor.authorBerríos Carvajal, Sebastián Alejandro
dc.contributor.otherPontificia Universidad Católica de Chile. Instituto de Física
dc.date.accessioned2023-11-22T18:02:31Z
dc.date.available2023-11-22T18:02:31Z
dc.date.issued2023
dc.date.updated2023-11-22T16:27:31Z
dc.descriptionTesis (Master’s degree in Theoretical Physics)--Pontificia Universidad Católica de Chile, 2023.
dc.description.abstractThis research examines Landau Levels (LLs) in real space within hexagonal lattice systems, utilizing the tight-binding model to elucidate band structures under strong magnetic fields, leading to the Hofstadter Butterfly pattern. The introduction of a real-space periodic tight-binding model provides a comprehensive perspective on the Density of States (DOS) in both periodic and open boundary conditions. A key contribution of this work is the innovative approach to decompose Landau Level wavefunctions into angular momentum eigenstates, revealing the inherent angular momentum attributes of the loop-like zones. While the study offers significant insights into the behavior of LLs in real space, it underscores the vast data spectrum associated with each system and highlights the potential for future research on variations in sample shape, the influence of disorder, impurities, and the integration of artificial intelligence for data interpretation.
dc.fechaingreso.objetodigital2023-11-22
dc.format.extentvi, 65 páginas
dc.fuente.origenAutoarchivo
dc.identifier.doi10.7764/tesisUC/FIS/75399
dc.identifier.urihttp://doi.org/10.7764/tesisUC/FIS/75399
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75399
dc.information.autorucInstituto de Física; Soto Garrido, Rodrigo Andrés; 0000-0002-6593-5443; 1019990
dc.information.autorucInstituto de Física; Berríos Carvajal, Sebastián Alejandro; S/I; 1025644
dc.language.isoen
dc.nota.accesoContenido completo
dc.rightsacceso abierto
dc.subject.ddc530
dc.subject.deweyMatemática física y químicaes_ES
dc.titleFrom Momentum to Real Space: Investigating the Hofstadter Butterfly and Landau Levels in Hexagonal Lattices
dc.typetesis de maestría
sipa.codpersvinculados1019990
sipa.codpersvinculados1025644
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