Bosonization Rules for Electron-Hole Systems - II

Abstract

Here we write down and prove closed commutation rules for Fermi bilinears in a two-component Fermi system in terms of the relevant sea-bosons. We show how the commutation rules come out correctly within the RPA-approximation as do the zero temperature correlation functions. We write down hamiltonains of nonrelativistic interacting electron-hole systems and point out several attractive features such as the natural roles excitons play in this language. We then use this language to derive a set of equations analogous to the Semiconductor Bloch Equations in the presence of phonons and with external fields such as those present in pump-probe experiments. We solve these equations using parameters of interesting and topical materials such as GaN and compare with some recent experimental data.