Localized States and the Approach to Localization

摘要: This chapter focuses on the self-consistent theory of localization. The C factor involves a 2d -fold integral for maximally crossed (MC) diagram contributions. To locate mobility edge and to calculate localization length in d = 3 2, is difficult evaluate because nonspherical Brillouin zone. An important point about contribution that it does not obey particle-hole symmetry center band. very unlikely long-wavelength limit Rayleigh frequency dependence tells scattering must be weak limit, contrast quantum case. At high frequencies, geometric optics becomes good description classical wave propagation. In regime, effect scattering, as expressed by mean free path, expected saturate at scale comparable particle size or interparticle separation.