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Ground state of fermions in quasi-1D honeycomb optical lattices

dc.rights.licenseAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.contributor.advisorSilva Valencia, Jereson
dc.contributor.authorPadilla González, Daniel Camilo
dc.date.accessioned2022-10-31T15:36:22Z
dc.date.available2022-10-31T15:36:22Z
dc.date.issued2022
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/82564
dc.descriptionilustraciones, gráficas
dc.description.abstractLattice models (tight-binding) for many-body systems give a good theoretical and experimental framework to study quantum phase transitions presented in several strongly correlated materials at low temperature. In general, those phase transitions are driven by a fine-tuning of non-thermal parameters such that each phase is determined by a fixed energy scale. In particular, the Ionic Hubbard model allows to study crystalline bipartite lattices where the possible phase transitions are induced by a competition between the on-site interaction U and the geometry of the lattice itself given by the staggered potential ∆. Furthermore, recent experimental and theoretical works on honeycomb lattice connect the model with phenomenon like unconventional superconductivity [Journal of the Physical Society of Japan 82 (2013) 034704] and topological correlated systems [PhysicaB 481 (2016) 53-58]. Motivated by this, we study the ground-state properties of the Ionic Hubbard model in two scenarios: a narrow honeycomb lattice regarding it as a quasi 1D lattice and a mass-imbalanced chain. To explore those systems, we use a density renormalization group (DMRG) finite algorithm with a matrix product state (MPS) method. (Texto tomado de la fuente)
dc.description.abstractLos modelos de redes (tight-binding) para sistemas de muchos cuerpos dan un buen marco teórico y experimental para estudiar transiciones de fases cuánticas presentes en diversos materiales fuertemente correlacionados a bajas temperaturas. En general, estas transiciones de fases pueden ocurrir debido a un ajuste fino de parámetros no térmicos tal que cada fase se determina por una escala fija de energı́a. En particular, el modelo Iónico de Hubbard permite estudiar una red cristalina bipartita donde dos fases son inducidas debido a la competencia entre la interacción local U y la geometrı́a de la red misma dada por el potencial escalonado ∆. Además, trabajos experimentales y teóricos recientes sobre redes de tipo panal relacionan el modelo con fenómenos como superconductividad no convencional [Journal of the Physical Society of Japan 82 (2013) 034704] y sistemas topológicos correlacionados [PhysicaB 481 (2016) 53-58]. Motivados por esto, nosotros estudiamos las propiedades del estado base del modelo Iónico de Hubbard en dos escenarios: una red delgada tipo panal, estudiada a través de un mapeo cuasi 1D, y una cadena con imbalance de masas. Para explorar estos sistemas, usamos un algoritmo finito del grupo de renormalización de la matriz densidad (DMRG) y un método de producto de estados de matrices (MPS).
dc.format.extentxi, 66 páginas
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherUniversidad Nacional de Colombia
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc530 - Física
dc.titleGround state of fermions in quasi-1D honeycomb optical lattices
dc.typeTrabajo de grado - Maestría
dc.type.driverinfo:eu-repo/semantics/masterThesis
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.publisher.programBogotá - Ciencias - Maestría en Ciencias - Física
dc.contributor.researchgroupGrupo de Sistemas Correlacionados SISCO
dc.description.degreelevelMaestría
dc.description.degreenameMagíster en Ciencias - Física
dc.description.researchareaCondensed Matter
dc.identifier.instnameUniversidad Nacional de Colombia
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourlhttps://repositorio.unal.edu.co/
dc.publisher.facultyFacultad de Ciencias
dc.publisher.placeBogotá, Colombia
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotá
dc.relation.indexedRedCol
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.proposalHoneycomb lattice
dc.subject.proposalIonic Hubbard model
dc.subject.proposalDMRG algorithm
dc.subject.proposalPhase transitions
dc.subject.proposalRed tipo panal
dc.subject.proposalmodelo Iónico de Hubbard
dc.subject.proposalalgoritmo DMRG
dc.subject.proposalTransición de fase
dc.subject.unescoInformación y comunicación
dc.subject.unescoInformation and communication
dc.subject.unescoModelo de simulación
dc.subject.unescoSimulation techniques
dc.title.translatedEstado base de fermiones en redes ópticas cuasi-1D tipo panal
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dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aa
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