Excitons at High Density by H. Haken, S. Nikitine (auth.), H. Haken, S. Nikitine (eds.)

By H. Haken, S. Nikitine (auth.), H. Haken, S. Nikitine (eds.)

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In Section 5 we represent the giant two-photon absorption due to biexcitons [15] as the first example beyond the linear response and indicate the possibility of using this property for a two-photon absorption spectroscopy to check the existence of biexcitons. As an example of the coherent interaction, we discuss laser action of biexcitons in Section 6. We discuss in Section 7, as the third example beyond the linear response, whether the result of self-induced transparency due to two-photon transition [ 16] can be applied to the self-induced transparency of biexcitons.

8) The next largest contribution comes from the processes b, c and d in Fig. 9) K + B~{1 + n(E(K))} {1 + n(/~cx(K))} (5(0 + E'x(K ) + E(K))], where E(K)-E'x(K) J ' / and BK= vK-- E(K)+ E;x(K) " E;x(K) = K2/2M a n d / ~ ( K ) = E;I(K ) +/Ax - 89 n(E~(K)) is evaluated by putting the chemical potential of an exciton #e~ equal to E o - E~x + N Vo. The first term of Eq. 9) gives the higher energy side band coming from the emission of biexcitons thermally excited over the phonon-like-dispersion. This band has a singularity at co = e) 0 + ( 2 - 1//3)No W, coming from a one-dimensional van Hove singularity of the joint density of states.

Unless the formation of biexcitons in Cu20 could be proved to be in competition with another process (or complex) stable at higher temperature, it appears from this analysis that this assumption is questionable. This statement is also reinforced by the low power source used by the authors which would not give rise to abnormally high "biexciton temperatures". An alternative treatment by Pavinsky does not seem to improve the situation, as regards the interpretation in this problem. In several other substances luminescence peaks have tentatively been assigned to biexciton radiative recombination.

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