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: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2000
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| Materias: | |
| 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: |
| 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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