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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/104435
Ver los metadatos del registro completo
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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:UNLP2025-10-29T15:27:52Zoai: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:13292025-10-29 15:27:52.844SEDICI (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 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/104435 |
| url |
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| dc.language.none.fl_str_mv |
eng |
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eng |
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