Singular structure and enhanced Friedel oscillations in the two-dimensional electron gas
Abstract
We evaluate the leading-order corrections (in rs) to the static polarization Π* (q,0), of the two-dimensional electron gas with dynamically screened interactions. The corresponding diagrams all exhibit singular logarithmic behavior in their derivatives about q=2kF and provide significant enhancement of the proper polarization particularly at low densities. At a density of rs=3, the contribution from the leading-order fluctuational diagrams exceeds both the zeroth-order (Lindhard) response and the self-energy and exchange contributions. The importance of these diagrams in two-dimensions is demonstrated by comparison to those of an equivalent three-dimensional electron gas; we also consider the impact these findings have on Π* (q,0) computed to all orders in perturbation theory.
- Publication:
-
Physical Review B
- Pub Date:
- May 2002
- DOI:
- 10.1103/PhysRevB.65.195309
- arXiv:
- arXiv:cond-mat/0111196
- Bibcode:
- 2002PhRvB..65s5309K
- Keywords:
-
- 71.10.Ca;
- 71.10.Hf;
- 71.10.Pm;
- Electron gas Fermi gas;
- Non-Fermi-liquid ground states electron phase diagrams and phase transitions in model systems;
- Fermions in reduced dimensions;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- doi:10.1103/PhysRevB.65.195309