Low-density expansion for the two-dimensional electron gas
| dc.creator | Sauli, Francesca | |
| dc.creator | Kopietz, Peter | |
| dc.date | 2006-08-18 | |
| dc.date | 2006-11-22 | |
| dc.date.accessioned | 2026-07-07T07:19:44Z | |
| dc.date.available | 2026-07-07T07:19:44Z | |
| dc.description | We show that in two dimensions (2D) a systematic expansion of the self-energy and the effective interaction of the dilute electron gas in powers of the two-body T-matrix T_0 can be generated from the exact hierarchy of functional renormalization group equations for the one-particle irreducible vertices using the chemical potential as flow parameter. Due to the interference of particle-particle and particle-hole channels at order T_0^2, in 2D the ladder approximation for the self-energy is not reliable beyond the leading order in T_0. We also discuss two-body scattering in vacuum in arbitrary dimensions from the renormalization group point of view and argue that the singular interaction proposed by Anderson [Phys. Rev. Lett. 65, 2306 (1990)] cannot be ruled out on the basis of the ladder approximation. | |
| dc.description | 4 pages, 1 figure, typos corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608423 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608423 | |
| dc.identifier | Phys. Rev. B 74, 193106 (2006) | |
| dc.identifier | doi:10.1103/PhysRevB.74.193106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114733 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Low-density expansion for the two-dimensional electron gas | |
| dc.type | text |