Bound states in semi-Dirac semi-metals

Detalhes bibliográficos
Autor(a) principal: Krejcirik, David
Data de Publicação: 2021
Outros Autores: Antunes, Pedro R. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/10709
Resumo: New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations. Physically relevant sufficient and necessary conditions to guarantee the existence of discrete eigenvalues are derived under rather general assumptions on external fields. One of the most interesting features of the analysis is the evident spectral instability of the systems in the weakly coupled regime. The rigorous theoretical results are illustrated by numerical experiments and predictions for physical experiments are made.
id RCAP_ef882491773e39c1c3e2a3084b2213ed
oai_identifier_str oai:repositorioaberto.uab.pt:10400.2/10709
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Bound states in semi-Dirac semi-metalsSemi-Dirac semi-metalsLinear and quadratic dispersionsSpectral stabilityQuantum bound statesExternal electromagnetic fieldsWeak couplingNew insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations. Physically relevant sufficient and necessary conditions to guarantee the existence of discrete eigenvalues are derived under rather general assumptions on external fields. One of the most interesting features of the analysis is the evident spectral instability of the systems in the weakly coupled regime. The rigorous theoretical results are illustrated by numerical experiments and predictions for physical experiments are made.ElsevierRepositório AbertoKrejcirik, DavidAntunes, Pedro R. S.20212023-12-31T00:00:00Z2021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/10709eng0375-960110.1016/j.physleta.2020.126991info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:36:39Zoai:repositorioaberto.uab.pt:10400.2/10709Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:50:14.890627Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Bound states in semi-Dirac semi-metals
title Bound states in semi-Dirac semi-metals
spellingShingle Bound states in semi-Dirac semi-metals
Krejcirik, David
Semi-Dirac semi-metals
Linear and quadratic dispersions
Spectral stability
Quantum bound states
External electromagnetic fields
Weak coupling
title_short Bound states in semi-Dirac semi-metals
title_full Bound states in semi-Dirac semi-metals
title_fullStr Bound states in semi-Dirac semi-metals
title_full_unstemmed Bound states in semi-Dirac semi-metals
title_sort Bound states in semi-Dirac semi-metals
author Krejcirik, David
author_facet Krejcirik, David
Antunes, Pedro R. S.
author_role author
author2 Antunes, Pedro R. S.
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Krejcirik, David
Antunes, Pedro R. S.
dc.subject.por.fl_str_mv Semi-Dirac semi-metals
Linear and quadratic dispersions
Spectral stability
Quantum bound states
External electromagnetic fields
Weak coupling
topic Semi-Dirac semi-metals
Linear and quadratic dispersions
Spectral stability
Quantum bound states
External electromagnetic fields
Weak coupling
description New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations. Physically relevant sufficient and necessary conditions to guarantee the existence of discrete eigenvalues are derived under rather general assumptions on external fields. One of the most interesting features of the analysis is the evident spectral instability of the systems in the weakly coupled regime. The rigorous theoretical results are illustrated by numerical experiments and predictions for physical experiments are made.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
2023-12-31T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/10709
url http://hdl.handle.net/10400.2/10709
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0375-9601
10.1016/j.physleta.2020.126991
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799135090392956928

Registros relacionados