Study of Influence of The Electron-Phonon Interaction on Quantum Dot Coupled to Microcavity

Abstract

In this present paper, we presented about the study of the electron-phonon interaction on quantum dot coupled to microcavity has the same energy scale as the other relevant interactions in low-dimensional systems and it is therefore important to study the polaronic effects in these systems [1-5]. First, we consider a one-dimensional (1D) electron system incorporating the electron-electron and electron-phonon interactions using the Luttinger model. We explicitly consider both the electron-optical-phonon interaction and the electron-acoustic-phonon interaction together with the electron-electron interaction. This system can be referred to as the Frhlich-Toyozawa-Luttinger (FTL) liquid [6-13]. We calculate the momentum distribution function of an FTL liquid exactly and examine how the momentum distribution function is affected by the electron-phonon interactions. Our results will be significant in the context of nanotubes and other systems where researchers have observed the Luttinger liquid behaviour experimentally [14-15].