Su-Schriefer-Heeger model from a K-theory perspective

"The Bulk-edge correspondence is a physical phenomenon that is usually accepted on the area of experimental condensed matter as a fact, but nevertheless it have not being understood theoretically at all. In this way the purpose of the present work is to try to give a first approach to this prob...

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Autores:: Henríquez Bernal, David Alejandro

Tipo de recurso:: Trabajo de grado de pregrado

Fecha de publicación:: 2019

Institución:: Universidad de los Andes

Repositorio:: Séneca: repositorio Uniandes

Idioma:: eng

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spelling	Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Reyes Lega, Andrés Fernandovirtual::12728-1Henríquez Bernal, David Alejandro906dd2af-b57a-4c9b-a990-e089915e6805500Cardona Guio, Alexander2020-09-03T16:13:10Z2020-09-03T16:13:10Z2019http://hdl.handle.net/1992/45762u828034.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/"The Bulk-edge correspondence is a physical phenomenon that is usually accepted on the area of experimental condensed matter as a fact, but nevertheless it have not being understood theoretically at all. In this way the purpose of the present work is to try to give a first approach to this problem using a mathematical tool called K-Theory. To achieve this goal the work was centered on the understanding of a one dimensional model, the Su-Schrieffer-Heeger model of a topological insulator, and in the use of an index map, that relates the bulk Hamiltonian and the edge Hamil- tonian, that arise when considering the K-Theory exact sequence of the Toeplitz ex- tension."-- Tomado del Formato de Documento de Grado."La correspondencia "Bulk-edge" es un fenómeno físico generalmente aceptado en el área experimental de materia condensada como un hecho, sin embargo este no se comprende teóricamente del todo. De esta manera, el propósito del presente trabajo es tratar de dar un primer acercamiento a este problema utilizando una herramienta matemática llamada K-Teoría. Para lograr este objetivo, el trabajo se centró en la comprensión de un modelo unidimensional, el modelo Su-Schrieffer-Heeger de un aislante topológico, y en el uso de un mapa índice, que relaciona el Hamiltoniano en el "bulk" con el Hamiltoniano en el "edge", que surgen al considerar la sucesión exacta asociada a la K-Teoría de la extensión de Toeplitz."-- Tomado del Formato de Documento de Grado.FísicoPregrado23 hojasapplication/pdfengUniandesFísicaFacultad de CienciasDepartamento de Físicainstname:Universidad de los Andesreponame:Repositorio Institucional SénecaSu-Schriefer-Heeger model from a K-theory perspectiveTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TPModelo Su-Schrieffer-HeegerTeoría-KFísicaPublicationhttps://scholar.google.es/citations?user=04V0g64AAAAJvirtual::12728-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000055174virtual::12728-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::12728-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::12728-1TEXTu828034.pdf.txtu828034.pdf.txtExtracted texttext/plain34722https://repositorio.uniandes.edu.co/bitstreams/621ba865-3670-437f-9760-aa414054ff2c/download65d1e3ab673ed25f477a5e7d2dfbe335MD55ORIGINALu828034.pdfapplication/pdf274385https://repositorio.uniandes.edu.co/bitstreams/0af34c99-b597-4d63-833c-ded07581e8d0/downloadc7b4e01317b821a6d21fa31c7e8f3699MD51THUMBNAILu828034.pdf.jpgu828034.pdf.jpgIM Thumbnailimage/jpeg6912https://repositorio.uniandes.edu.co/bitstreams/a59facfa-8ca3-435f-8cdd-f1004b614726/download16acee945463997f63dd712cba9f3a2eMD561992/45762oai:repositorio.uniandes.edu.co:1992/457622024-03-13 14:45:39.565http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv	Su-Schriefer-Heeger model from a K-theory perspective
title	Su-Schriefer-Heeger model from a K-theory perspective
spellingShingle	Su-Schriefer-Heeger model from a K-theory perspective Modelo Su-Schrieffer-Heeger Teoría-K Física
title_short	Su-Schriefer-Heeger model from a K-theory perspective
title_full	Su-Schriefer-Heeger model from a K-theory perspective
title_fullStr	Su-Schriefer-Heeger model from a K-theory perspective
title_full_unstemmed	Su-Schriefer-Heeger model from a K-theory perspective
title_sort	Su-Schriefer-Heeger model from a K-theory perspective
dc.creator.fl_str_mv	Henríquez Bernal, David Alejandro
dc.contributor.advisor.none.fl_str_mv	Reyes Lega, Andrés Fernando
dc.contributor.author.none.fl_str_mv	Henríquez Bernal, David Alejandro
dc.contributor.jury.none.fl_str_mv	Cardona Guio, Alexander
dc.subject.armarc.es_CO.fl_str_mv	Modelo Su-Schrieffer-Heeger Teoría-K
topic	Modelo Su-Schrieffer-Heeger Teoría-K Física
dc.subject.themes.none.fl_str_mv	Física
description	"The Bulk-edge correspondence is a physical phenomenon that is usually accepted on the area of experimental condensed matter as a fact, but nevertheless it have not being understood theoretically at all. In this way the purpose of the present work is to try to give a first approach to this problem using a mathematical tool called K-Theory. To achieve this goal the work was centered on the understanding of a one dimensional model, the Su-Schrieffer-Heeger model of a topological insulator, and in the use of an index map, that relates the bulk Hamiltonian and the edge Hamil- tonian, that arise when considering the K-Theory exact sequence of the Toeplitz ex- tension."-- Tomado del Formato de Documento de Grado.
publishDate	2019
dc.date.issued.none.fl_str_mv	2019
dc.date.accessioned.none.fl_str_mv	2020-09-03T16:13:10Z
dc.date.available.none.fl_str_mv	2020-09-03T16:13:10Z
dc.type.spa.fl_str_mv	Trabajo de grado - Pregrado
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identifier_str_mv	u828034.pdf instname:Universidad de los Andes reponame:Repositorio Institucional Séneca repourl:https://repositorio.uniandes.edu.co/
dc.language.iso.es_CO.fl_str_mv	eng
language	eng
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dc.format.extent.es_CO.fl_str_mv	23 hojas
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dc.publisher.es_CO.fl_str_mv	Uniandes
dc.publisher.program.es_CO.fl_str_mv	Física
dc.publisher.faculty.es_CO.fl_str_mv	Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv	Departamento de Física
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Su-Schriefer-Heeger model from a K-theory perspective

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