If exchange is an interaction between indistinguishable particles, how can there be an exchange interaction between electrons and holes? I see mention of e-h exchange often in the literature.
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Hole is not a particle. Microscopically, hole is a quasiparticle perturbation of many-electron system. And what is called electron in semiconductors is also a perturbation in the same many-electron system. Exchange interaction within this many-electron system results in a complicated interaction between quasiparticles which live there. Which is called exchange interaction because it is quite similar to "normal" exchange interaction.
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$\begingroup$ I figured it must have been something along those line. Any idea where I could learn more about this? $\endgroup$ Oct 18, 2011 at 4:26
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$\begingroup$ @BeauGeste right now I am not ready to give a citation, I will try to find something. In the meantime I'd recommend to search for the papers with ab initio calculations of exchange. They should address this issue. $\endgroup$– MishaOct 18, 2011 at 7:19