Exact electronic Green functions in a Luttinger liquid with long-range interactions

Autores
Iucci, Carlos Aníbal; Naón, Carlos María
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We compute the two-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a “super long-range” potential of the form V(x) = e2d-∈/|x|1-∈. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the -C(log x)3/2 long-distance behavior first obtained by Schulz.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
electronic Green function
Luttinger liquid
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/104435

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spelling Exact electronic Green functions in a Luttinger liquid with long-range interactionsIucci, Carlos AníbalNaón, Carlos MaríaCiencias ExactasFísicaelectronic Green functionLuttinger liquidWe compute the two-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a “super long-range” potential of the form V(x) = e<sup>2</sup>d<sup>-∈</sup>/|x|<sup>1-∈</sup>. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the -C(log x)<sup>3/2</sup> long-distance behavior first obtained by Schulz.Facultad de Ciencias Exactas2000info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf15530-15533http://sedici.unlp.edu.ar/handle/10915/104435enginfo:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/98126info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.61.15530info:eu-repo/semantics/altIdentifier/issn/0163-1829info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.61.15530info:eu-repo/semantics/altIdentifier/hdl/11336/98126info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:22:47Zoai:sedici.unlp.edu.ar:10915/104435Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:22:48.295SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Exact electronic Green functions in a Luttinger liquid with long-range interactions
title Exact electronic Green functions in a Luttinger liquid with long-range interactions
spellingShingle Exact electronic Green functions in a Luttinger liquid with long-range interactions
Iucci, Carlos Aníbal
Ciencias Exactas
Física
electronic Green function
Luttinger liquid
title_short Exact electronic Green functions in a Luttinger liquid with long-range interactions
title_full Exact electronic Green functions in a Luttinger liquid with long-range interactions
title_fullStr Exact electronic Green functions in a Luttinger liquid with long-range interactions
title_full_unstemmed Exact electronic Green functions in a Luttinger liquid with long-range interactions
title_sort Exact electronic Green functions in a Luttinger liquid with long-range interactions
dc.creator.none.fl_str_mv Iucci, Carlos Aníbal
Naón, Carlos María
author Iucci, Carlos Aníbal
author_facet Iucci, Carlos Aníbal
Naón, Carlos María
author_role author
author2 Naón, Carlos María
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
electronic Green function
Luttinger liquid
topic Ciencias Exactas
Física
electronic Green function
Luttinger liquid
dc.description.none.fl_txt_mv We compute the two-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a “super long-range” potential of the form V(x) = e<sup>2</sup>d<sup>-∈</sup>/|x|<sup>1-∈</sup>. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the -C(log x)<sup>3/2</sup> long-distance behavior first obtained by Schulz.
Facultad de Ciencias Exactas
description We compute the two-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a “super long-range” potential of the form V(x) = e<sup>2</sup>d<sup>-∈</sup>/|x|<sup>1-∈</sup>. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the -C(log x)<sup>3/2</sup> long-distance behavior first obtained by Schulz.
publishDate 2000
dc.date.none.fl_str_mv 2000
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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language eng
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info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.61.15530
info:eu-repo/semantics/altIdentifier/issn/0163-1829
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.61.15530
info:eu-repo/semantics/altIdentifier/hdl/11336/98126
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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