On a Heuristic Expansion Method in the Strong Localization Regime of the Theory of Disordered Systems

摘要: We present a method that allows us to compute various spectral and physical characteristics of disordered systems in the strong localization regime, i.e. when either random potential is big enough or if energy close spectrum edges. The based on hypothesis regime relevant realizations have form deep wells are uniformly chaotically distributed space, can be parameterized by at least one continuously parameter small density. Assuming this using density expansion analysis tunnelling system several we show first coincides leading order with states. Thus states fact theory regime. Then derive Mott formula for low frequency conductivity asymptotic formulas density-density correlation functions difference energies small.