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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| 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:UNLP2025-10-29T15:27:52Zoai: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 | 
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo | 
| format | article | 
| status_str | publishedVersion | 
| dc.identifier.none.fl_str_mv | http://sedici.unlp.edu.ar/handle/10915/104435 | 
| url | http://sedici.unlp.edu.ar/handle/10915/104435 | 
| dc.language.none.fl_str_mv | eng | 
| language | eng | 
| dc.relation.none.fl_str_mv | info:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/98126 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 http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | 
| eu_rights_str_mv | openAccess | 
| rights_invalid_str_mv | http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | 
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