Self-consistent approach to quantum diffusion with strong localization

A generalization of the so-called locator expansion is proposed for the calculation of many-particle Green’s functions which determine the kinetic properties of disordered systems. The localization criterion obtained in the Anderson model on the basis of this approach is in good agreement with the results of computer simulation. The proposed method has been used to describe quantum diffusion in helium solid solutions. The behavior of the diffusion coefficient for 3He impuritons in 4He is in qualitative agreement with that observed experimentally.

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