A Green's function approach to topological insulator junctions with magnetic and superconducting regions
This work presents a Green’s function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitizedsuperconducting (S) and ferromagnetic (F) surfaces. This consists of the derivation of the Green’sfuncti...
- Autores:
-
Casas, Oscar E.
Gómez Páez, Shirley
Herrera, William J.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Universidad El Bosque
- Repositorio:
- Repositorio U. El Bosque
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unbosque.edu.co:20.500.12495/4592
- Acceso en línea:
- http://hdl.handle.net/20.500.12495/4592
https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1088%2F1361-648X%2Fabafc9&v=fd09ea67
- Palabra clave:
- Andreev reflections
Green functions
Magnetic-superconducting junctions
Majorana states
Topological insulators
- Rights
- openAccess
- License
- Acceso abierto
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Repositorio U. El Bosque |
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|
dc.title.spa.fl_str_mv |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
dc.title.translated.spa.fl_str_mv |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
title |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
spellingShingle |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions Andreev reflections Green functions Magnetic-superconducting junctions Majorana states Topological insulators |
title_short |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
title_full |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
title_fullStr |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
title_full_unstemmed |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
title_sort |
A Green's function approach to topological insulator junctions with magnetic and superconducting regions |
dc.creator.fl_str_mv |
Casas, Oscar E. Gómez Páez, Shirley Herrera, William J. |
dc.contributor.author.none.fl_str_mv |
Casas, Oscar E. Gómez Páez, Shirley Herrera, William J. |
dc.subject.keywords.spa.fl_str_mv |
Andreev reflections Green functions Magnetic-superconducting junctions Majorana states Topological insulators |
topic |
Andreev reflections Green functions Magnetic-superconducting junctions Majorana states Topological insulators |
description |
This work presents a Green’s function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitizedsuperconducting (S) and ferromagnetic (F) surfaces. This consists of the derivation of the Green’sfunctions for each region by the asymptotic solutions method, and their coupling by a tight-bindingHamiltonian with the Dyson equation to obtain the full Green’s functions of the system. Thesefunctions allow the direct calculation of the momentum-resolved spectral density of states, the iden-tification of subgap interface states, and the derivation of the differential conductance for a widevariety of configurations of the junctions. We illustrate the application of this method for somesimple systems with two and three regions, finding the characteristic chiral state of the QuantumAnomalous Hall Effect (QAHE) at the NF interfaces, and chiral Majorana modes at the NS inter-faces. Finally, we discuss some geometrical effects present in three-region junctions such as weakFabry-P ́erot resonances and Andreev bound states. |
publishDate |
2020 |
dc.date.accessioned.none.fl_str_mv |
2020-10-28T16:58:22Z |
dc.date.available.none.fl_str_mv |
2020-10-28T16:58:22Z |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.local.none.fl_str_mv |
Artículo de revista |
dc.type.coar.none.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
format |
http://purl.org/coar/resource_type/c_6501 |
dc.identifier.issn.none.fl_str_mv |
1361-648X |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/20.500.12495/4592 |
dc.identifier.doi.none.fl_str_mv |
https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1088%2F1361-648X%2Fabafc9&v=fd09ea67 |
dc.identifier.instname.spa.fl_str_mv |
instname:Universidad El Bosque |
dc.identifier.reponame.spa.fl_str_mv |
reponame:Repositorio Institucional Universidad El Bosque |
dc.identifier.repourl.none.fl_str_mv |
repourl:https://repositorio.unbosque.edu.co |
identifier_str_mv |
1361-648X instname:Universidad El Bosque reponame:Repositorio Institucional Universidad El Bosque repourl:https://repositorio.unbosque.edu.co |
url |
http://hdl.handle.net/20.500.12495/4592 https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1088%2F1361-648X%2Fabafc9&v=fd09ea67 |
dc.language.iso.none.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartofseries.spa.fl_str_mv |
Journal of physics condensed matter, 1361-648X, Vol. 32, Nro. 18, 2020 |
dc.relation.uri.none.fl_str_mv |
https://iopscience.iop.org/article/10.1088/1361-648X/abafc9 |
dc.rights.local.spa.fl_str_mv |
Acceso abierto |
dc.rights.accessrights.none.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 info:eu-repo/semantics/openAccess Acceso abierto |
dc.rights.creativecommons.none.fl_str_mv |
2020-09-01 |
rights_invalid_str_mv |
Acceso abierto http://purl.org/coar/access_right/c_abf2 2020-09-01 |
eu_rights_str_mv |
openAccess |
dc.format.mimetype.none.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Institute of Physics Publishing |
dc.publisher.journal.spa.fl_str_mv |
Journal of physics condensed matter |
institution |
Universidad El Bosque |
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Casas, Oscar E.Gómez Páez, ShirleyHerrera, William J.2020-10-28T16:58:22Z2020-10-28T16:58:22Z1361-648Xhttp://hdl.handle.net/20.500.12495/4592https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1088%2F1361-648X%2Fabafc9&v=fd09ea67instname:Universidad El Bosquereponame:Repositorio Institucional Universidad El Bosquerepourl:https://repositorio.unbosque.edu.coapplication/pdfengInstitute of Physics PublishingJournal of physics condensed matterJournal of physics condensed matter, 1361-648X, Vol. 32, Nro. 18, 2020https://iopscience.iop.org/article/10.1088/1361-648X/abafc9A Green's function approach to topological insulator junctions with magnetic and superconducting regionsA Green's function approach to topological insulator junctions with magnetic and superconducting regionsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85Andreev reflectionsGreen functionsMagnetic-superconducting junctionsMajorana statesTopological insulatorsThis work presents a Green’s function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitizedsuperconducting (S) and ferromagnetic (F) surfaces. This consists of the derivation of the Green’sfunctions for each region by the asymptotic solutions method, and their coupling by a tight-bindingHamiltonian with the Dyson equation to obtain the full Green’s functions of the system. Thesefunctions allow the direct calculation of the momentum-resolved spectral density of states, the iden-tification of subgap interface states, and the derivation of the differential conductance for a widevariety of configurations of the junctions. We illustrate the application of this method for somesimple systems with two and three regions, finding the characteristic chiral state of the QuantumAnomalous Hall Effect (QAHE) at the NF interfaces, and chiral Majorana modes at the NS inter-faces. Finally, we discuss some geometrical effects present in three-region junctions such as weakFabry-P ́erot resonances and Andreev bound states.Acceso abiertohttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAcceso abierto2020-09-01THUMBNAILOscar E. Casas, Shirley Gomez Paez_2020.pdf.jpgOscar E. Casas, Shirley Gomez Paez_2020.pdf.jpgimage/jpeg5775https://repositorio.unbosque.edu.co/bitstreams/38fa0146-e091-4f1b-bd7a-1eac40fe79bc/download7210a811635d1799e7c05fee5d259be7MD53ORIGINALOscar E. Casas, Shirley Gomez Paez_2020.pdfOscar E. Casas, Shirley Gomez Paez_2020.pdfapplication/pdf1654870https://repositorio.unbosque.edu.co/bitstreams/4c1d071f-7a3f-4021-9b20-50abdfbafdeb/download1faa7a9bdc11046e68ec94d865a060d4MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.unbosque.edu.co/bitstreams/2ebc0630-db7c-4515-9a93-74c0a8955fe7/download8a4605be74aa9ea9d79846c1fba20a33MD52TEXTOscar E. Casas, Shirley Gomez Paez_2020.pdf.txtOscar E. Casas, Shirley Gomez Paez_2020.pdf.txtExtracted texttext/plain77792https://repositorio.unbosque.edu.co/bitstreams/59def588-829a-456c-80eb-a5f0556dfe8d/downloada3aae80a157f39c791890d676185834dMD5420.500.12495/4592oai:repositorio.unbosque.edu.co:20.500.12495/45922024-02-07 11:03:33.69restrictedhttps://repositorio.unbosque.edu.coRepositorio Institucional Universidad El Bosquebibliotecas@biteca.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 |