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• W2410089529 abstract "Variable-range hopping conductivity has long been understood in terms of a canonical prescription for relating the single-particle density of states to the temperature-dependent conductivity. Here we demonstrate that this prescription breaks down in situations where a large and long-ranged random potential develops. In particular, we examine a canonical model of a completely compensated semiconductor, and we show that at low temperatures hopping proceeds along self-organized, low-dimensional subspaces having fractal dimension $d = 2$. We derive and study numerically the spatial structure of these subspaces, as well as the conductivity and density of states that result from them. One of our prominent findings is that fractal ordering of low energy sites greatly enhances the hopping conductivity, and allows Efros-Shklovskii type conductivity to persist up to unexpectedly high temperatures." @default.
• W2410089529 created "2016-06-24" @default.
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• W2410089529 date "2016-08-29" @default.
• W2410089529 modified "2023-09-24" @default.
• W2410089529 title "Enhancement of hopping conductivity by spontaneous fractal ordering of low-energy sites" @default.
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• W2410089529 doi "https://doi.org/10.1103/physrevb.94.085146" @default.
• W2410089529 hasPublicationYear "2016" @default.
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