Numerical study of electrostatically-defined quantum dots in bilayer graphene

Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Iacopo Torre

Detalles Bibliográficos
Autor: Navarro Rodriguez, Sara
Tipo de recurso: tesis de maestría
Fecha de publicación:2023
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/203134
Acceso en línea:https://hdl.handle.net/2445/203134
Access Level:acceso abierto
Palabra clave:Punt quàntic
Grafè
Simulador quàntic
Treballs de fi de màster
Quantum dot
Graphene
Quantum simulator
Master's thesis
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spelling Numerical study of electrostatically-defined quantum dots in bilayer grapheneNavarro Rodriguez, SaraPunt quànticGrafèSimulador quànticTreballs de fi de màsterQuantum dotGrapheneQuantum simulatorMaster's thesisMàster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Iacopo TorreInteracting quantum many-body systems are so challenging to study that even simplified models, such as the Hubbard model, cannot be solved exactly. For this reason, it is interesting to engineer controllable quantum systems, called quantum simulators, that can emulate the behavior of these models. This makes quantum simulators a promising platform for studying the Hubbard model. These can be implemented, for example, using interacting arrays of quantum dots realized in semiconducting materials. The capability to tune the bands in bilayer graphene with patterned gate electrodes provides an innovative platform to study such a model, as it is the first time to explore the Hubbard model with quantum dots in a twodimensional material. Moreover, this platform opens a wide range of possibilities to study the different parameters of the model. In this work, we study theoretically and numerically realistic models of electrostatically defined quantum dots in bilayer graphene. We can calculate the proposed device’s potential and band-gap landscape induced in bilayer graphene by solving the Poisson equation. The result is then fed to a lowenergy model to calculate the bound states of the quantum dots. This allows calculating the parameters of the corresponding Hubbard model, including tunneling amplitudes and on-site interactions. Our results can be directly used to design quantum-simulation devices based on quantum dots that are realized electrostatically in bilayer graphene.Torre, Iacopo2023info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/203134Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technologyreponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc-by-nc-nd (c) Navarro, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2031342026-05-27T06:46:51Z
dc.title.none.fl_str_mv Numerical study of electrostatically-defined quantum dots in bilayer graphene
title Numerical study of electrostatically-defined quantum dots in bilayer graphene
spellingShingle Numerical study of electrostatically-defined quantum dots in bilayer graphene
Navarro Rodriguez, Sara
Punt quàntic
Grafè
Simulador quàntic
Treballs de fi de màster
Quantum dot
Graphene
Quantum simulator
Master's thesis
title_short Numerical study of electrostatically-defined quantum dots in bilayer graphene
title_full Numerical study of electrostatically-defined quantum dots in bilayer graphene
title_fullStr Numerical study of electrostatically-defined quantum dots in bilayer graphene
title_full_unstemmed Numerical study of electrostatically-defined quantum dots in bilayer graphene
title_sort Numerical study of electrostatically-defined quantum dots in bilayer graphene
dc.creator.none.fl_str_mv Navarro Rodriguez, Sara
author Navarro Rodriguez, Sara
author_facet Navarro Rodriguez, Sara
author_role author
dc.contributor.none.fl_str_mv Torre, Iacopo
dc.subject.none.fl_str_mv Punt quàntic
Grafè
Simulador quàntic
Treballs de fi de màster
Quantum dot
Graphene
Quantum simulator
Master's thesis
topic Punt quàntic
Grafè
Simulador quàntic
Treballs de fi de màster
Quantum dot
Graphene
Quantum simulator
Master's thesis
description Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Iacopo Torre
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/203134
url https://hdl.handle.net/2445/203134
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Navarro, 2023
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Navarro, 2023
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technology
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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