Bogolon-mediated electron capture by impurities in hybrid Bose-Fermi systems

TL;DR

This paper explores how electrons are captured by impurities in hybrid 2D systems with Bose-condensed excitons, highlighting the dominant role of bogolon pair emission over single bogolon processes.

Contribution

It introduces the calculation of electron capture probabilities involving bogolon emissions, emphasizing the significance of pair emission processes in hybrid Bose-Fermi systems.

Findings

Pair bogolon emission dominates single bogolon processes.

Electron capture probability is enhanced by pair emission.

Theoretical framework extends phonon analogy to bogolons.

Abstract

We investigate the processes of electron capture by a Coulomb impurity center residing in a hybrid system consisting of spatially separated two-dimensional layers of electron and Bose-condensed dipolar exciton gases coupled via the Coulomb forces. We calculate the probability of the electron capture accompanied by the emission of a single Bogoliubov excitation (bogolon), similar to regular phonon-mediated scattering in solids. Further, we study the electron capture mediated by the emission of a pair of bogolons in a single capture event and show that these processes not only should be treated in the same order of the perturbation theory, but also they give more important contribution than single bogolon-mediated capture, in contrast with regular phonon scattering.