Hybrid excitons in parallel organic and inorganic semiconductor quantum wires

3 Hybrid excitons in parallel organic and inorganic semiconductor quantum wires 

Here L is the length of the wires, me and nip are the effective electron and hole masses, respectively the function 0 ze zh) describes the relative ID motion of the bound electron and the hole. The operators (2) e(ln (13.39) 

In calculating the hybridization parameter T (see eqn 13.34) we meet the following matrix elements of the polarization operators between the ground ( 0)) and the corresponding excited states F, k) or W, k). With the use of eqn (13.36) and (13.38) we obtain  

Here Vy denotes the derivative with respect to the transverse variables (i, x, y). The function Kq possesses the following limiting behavior (30)  

As follows from eqn (13.48), the interwire coupling is suppressed exponentially for excitons with wavevectors k 1/R, i.e. for a major part of the Brillouin zone. In contrast, coupling of excitons with relatively small wavevectors k 1/R is quite efficient. This is different from the case of a 2D system of quantum wells where the coupling at small wavevectors is suppressed because the electric field outside of a uniformly polarized layer vanishes. 

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