We consider charge carriers that undergo nearest-neighbor hopping among the sites of a binary random lattice, each site of which is associated with one of two possible energies E1 or E2. A general and recently observed feature of this problem not predicted by previous treatments of disordered hopping models is a crossover between trap-limited conduction and percolation. We introduce new energy-projected equations of motion whose solutions reveal the deep conductivity minimum associated with this phenomenon, and compare the results predicted to numerical simulations.
P. E. Parris and B. D. Bookout, "Trapping-to-Percolation Transition in the Hopping Diffusion of Substitutionally Disordered Solids with a Binary Energy Distribution," Physical Review B (Condensed Matter), vol. 47, no. 1, pp. 562-565, American Physical Society (APS), Jan 1993.
The definitive version is available at https://doi.org/10.1103/PhysRevB.47.562
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© 1993 American Physical Society (APS), All rights reserved.