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

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-...

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Autores principales: Iucci, Carlos Aníbal, Naón, Carlos María
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Ciencias Exactas
Física
electronic Green function
Luttinger liquid
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104435
http://hdl.handle.net/11336/98126
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.61.15530
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-104435
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
electronic Green function
Luttinger liquid
spellingShingle Ciencias Exactas
Física
electronic Green function
Luttinger liquid
Iucci, Carlos Aníbal
Naón, Carlos María
Exact electronic Green functions in a Luttinger liquid with long-range interactions
topic_facet Ciencias Exactas
Física
electronic Green function
Luttinger liquid
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.
format Articulo
Articulo
author Iucci, Carlos Aníbal
Naón, Carlos María
author_facet Iucci, Carlos Aníbal
Naón, Carlos María
author_sort Iucci, Carlos Aníbal
title Exact electronic Green functions in a Luttinger liquid with long-range interactions
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
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/104435
http://hdl.handle.net/11336/98126
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.61.15530
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