Short-Range Excitonic Phenomena in Low-Density Metals
Jaakko Koskelo, Lucia Reining, Matteo Gatti
Abstract
Excitonic effects in metals are usually supposed to be weak, because the Coulomb interaction is strongly screened. Here, we investigate the low-density regime of the homogeneous electron gas, where, besides the usual high-energy plasmons, the existence of low-energy excitonic collective modes has recently been suggested. Using the Bethe-Salpeter equation (BSE), we show that indeed low-energy modes appear, thanks to reduced screening at short distances. This requires going beyond common approximations to ab initio BSE calculations, which suffer from a self-polarization error that overscreens the electron-hole interaction. The electron-hole wave function of the low-energy mode shows strong and very anisotropic electron-hole correlation, which speaks for an excitonic character of this mode. The fact that the electron-hole interaction at short distances is at the origin of these phenomena explains why, on the other hand, also the simple adiabatic local density approximation to time-dependent density functional theory can capture these effects. This exotic regime might be found in doped semiconductors and interfaces.