Generalized pair approximation in the description of ate AC conductivity of a dense disordered array of quantum dots

The frequency dependence of the hopping conductivity of dense arrays of semiconductor quantum dots of size a substantially exceeding the edge-to-edge separation w between neighboring quantum dots is considered. It is shown that at low frequencies in a wide frequency range the conductivity obeys a fractional power law and its magnitude depends on the structural characteristics of the material. The possibility of the deviation from universality related to the material structure is discussed.