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-...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2000 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/104435 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/104435 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Física electronic Green function Luttinger liquid |
| Sumario: | 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. |
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