Bosonization Rules for Electron-Hole Systems - II

Details Bosonization Rules for Electron-Hole Systems - II Bosonization Rules for Electron-Hole Systems - II

2000-04-17

arxiv.org/abs/cond-mat/0004288v1

Physics

Condensed Matter

27 pages, RevTex

Scientific paper

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.

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