Non-local Thirring model with backward and umklapp interactions
We extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic repr...
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Autores principales: | , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2002
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/129635 |
Aporte de: |
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I19-R120-10915-129635 |
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institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Física Field theory Non-local Functional bosonization Many body Two-dimensional Luttinger liquid |
spellingShingle |
Física Field theory Non-local Functional bosonization Many body Two-dimensional Luttinger liquid Fernández, Victoria Inés Iucci, Carlos Aníbal Naón, Carlos María Non-local Thirring model with backward and umklapp interactions |
topic_facet |
Física Field theory Non-local Functional bosonization Many body Two-dimensional Luttinger liquid |
description |
We extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic representation for this determinant which allows us to obtain an effective action for the collective excitations of the system. By introducing a non-local version of the self-consistent harmonic approximation, we get an expression for the gap of the charge-density excitations as functional of arbitrary electron–electron potentials. As an example we also consider the case of a non-contact umklapp interaction. |
format |
Articulo Articulo |
author |
Fernández, Victoria Inés Iucci, Carlos Aníbal Naón, Carlos María |
author_facet |
Fernández, Victoria Inés Iucci, Carlos Aníbal Naón, Carlos María |
author_sort |
Fernández, Victoria Inés |
title |
Non-local Thirring model with backward and umklapp interactions |
title_short |
Non-local Thirring model with backward and umklapp interactions |
title_full |
Non-local Thirring model with backward and umklapp interactions |
title_fullStr |
Non-local Thirring model with backward and umklapp interactions |
title_full_unstemmed |
Non-local Thirring model with backward and umklapp interactions |
title_sort |
non-local thirring model with backward and umklapp interactions |
publishDate |
2002 |
url |
http://sedici.unlp.edu.ar/handle/10915/129635 |
work_keys_str_mv |
AT fernandezvictoriaines nonlocalthirringmodelwithbackwardandumklappinteractions AT iuccicarlosanibal nonlocalthirringmodelwithbackwardandumklappinteractions AT naoncarlosmaria nonlocalthirringmodelwithbackwardandumklappinteractions |
bdutipo_str |
Repositorios |
_version_ |
1764820454648840194 |