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

ilustraciones, gráficas

Autores:
Padilla González, Daniel Camilo
Tipo de recurso:
Fecha de publicación:
2022
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
eng
OAI Identifier:
oai:repositorio.unal.edu.co:unal/82564
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/82564
https://repositorio.unal.edu.co/
Palabra clave:
530 - Física
Honeycomb lattice
Ionic Hubbard model
DMRG algorithm
Phase transitions
Red tipo panal
modelo Iónico de Hubbard
algoritmo DMRG
Transición de fase
Información y comunicación
Modelo de simulación
Information and communication
Simulation techniques
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openAccess
License
Atribución-NoComercial-SinDerivadas 4.0 Internacional
id UNACIONAL2_dfdbccc94137da39d83696f412bbc256
oai_identifier_str oai:repositorio.unal.edu.co:unal/82564
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.eng.fl_str_mv Ground state of fermions in quasi-1D honeycomb optical lattices
dc.title.translated.eng.fl_str_mv Estado base de fermiones en redes ópticas cuasi-1D tipo panal
title Ground state of fermions in quasi-1D honeycomb optical lattices
spellingShingle Ground state of fermions in quasi-1D honeycomb optical lattices
530 - Física
Honeycomb lattice
Ionic Hubbard model
DMRG algorithm
Phase transitions
Red tipo panal
modelo Iónico de Hubbard
algoritmo DMRG
Transición de fase
Información y comunicación
Modelo de simulación
Information and communication
Simulation techniques
title_short Ground state of fermions in quasi-1D honeycomb optical lattices
title_full Ground state of fermions in quasi-1D honeycomb optical lattices
title_fullStr Ground state of fermions in quasi-1D honeycomb optical lattices
title_full_unstemmed Ground state of fermions in quasi-1D honeycomb optical lattices
title_sort Ground state of fermions in quasi-1D honeycomb optical lattices
dc.creator.fl_str_mv Padilla González, Daniel Camilo
dc.contributor.advisor.none.fl_str_mv Silva Valencia, Jereson
dc.contributor.author.none.fl_str_mv Padilla González, Daniel Camilo
dc.contributor.researchgroup.spa.fl_str_mv Grupo de Sistemas Correlacionados SISCO
dc.subject.ddc.spa.fl_str_mv 530 - Física
topic 530 - Física
Honeycomb lattice
Ionic Hubbard model
DMRG algorithm
Phase transitions
Red tipo panal
modelo Iónico de Hubbard
algoritmo DMRG
Transición de fase
Información y comunicación
Modelo de simulación
Information and communication
Simulation techniques
dc.subject.proposal.eng.fl_str_mv Honeycomb lattice
Ionic Hubbard model
DMRG algorithm
Phase transitions
dc.subject.proposal.spa.fl_str_mv Red tipo panal
modelo Iónico de Hubbard
algoritmo DMRG
Transición de fase
dc.subject.unesco.spa.fl_str_mv Información y comunicación
Modelo de simulación
dc.subject.unesco.eng.fl_str_mv Information and communication
Simulation techniques
description ilustraciones, gráficas
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-10-31T15:36:22Z
dc.date.available.none.fl_str_mv 2022-10-31T15:36:22Z
dc.date.issued.none.fl_str_mv 2022
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/82564
dc.identifier.instname.spa.fl_str_mv Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv https://repositorio.unal.edu.co/
url https://repositorio.unal.edu.co/handle/unal/82564
https://repositorio.unal.edu.co/
identifier_str_mv Universidad Nacional de Colombia
Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.indexed.spa.fl_str_mv RedCol
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spelling Atribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Silva Valencia, Jereson50676d1fb7b889372d55af19c8b68790Padilla González, Daniel Camilo1199c6c7211b6bc87412280294363f3dGrupo de Sistemas Correlacionados SISCO2022-10-31T15:36:22Z2022-10-31T15:36:22Z2022https://repositorio.unal.edu.co/handle/unal/82564Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, gráficasLattice 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)Los 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).MaestríaMagíster en Ciencias - FísicaCondensed Matterxi, 66 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - FísicaHoneycomb latticeIonic Hubbard modelDMRG algorithmPhase transitionsRed tipo panalmodelo Iónico de Hubbardalgoritmo DMRGTransición de faseInformación y comunicaciónModelo de simulaciónInformation and communicationSimulation techniquesGround state of fermions in quasi-1D honeycomb optical latticesEstado base de fermiones en redes ópticas cuasi-1D tipo panalTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMRedColLaReferenciaM. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. 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