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- W1636268797 abstract "We present certain results, both heuristic and rigorous, on the asymptotics study of the simplest interesting observables of the theory of disordered systems: the density of states (the DOS) and the conductivity. First we outline heuristic arguments dating back to I.Lifshitz and allowing us to write the leading term of the low-energy asymptotics of the logarithm of the DOS for the non-positive Poisson potential, less studied so far than, say, the alloy-type potential and modeling chaotically distributed attractive impurities. Second we formulate recent rigorous results ([16]) that justify and develop this heuristics in the case of singular one-impurity potentials, the screened Coulomb in particular. At last we presents heuristic arguments ([9]) that, we believe, make more precise and detailed the arguments of I. Lifshitz and N. Mott and allowing us to obtain the known Mott formula for the low-frequency conductivity of disordered systems. The arguments are based on an Ansatz describing the form of relevant realizations of the random potential. We believe that the Ansatz is a natural consequence of the studies of the strong localization regime carried out so far and can be used to write a number of other observables in the strong localization regime." @default.
- W1636268797 created "2016-06-24" @default.
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- W1636268797 date "1999-01-01" @default.
- W1636268797 modified "2023-10-01" @default.
- W1636268797 title "On Some Asymptotic Formulas in the Strong Localization Regime of the Theory of Disordered Systems" @default.
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- W1636268797 doi "https://doi.org/10.1007/978-3-0348-8745-8_10" @default.
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