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Localization and tunneling effects in percolating systems

1987; American Physical Society; Volume: 35; Issue: 6 Linguagem: Inglês

10.1103/physrevb.35.2598

1095-3795

K. C. Chang, Takashi Odagaki,

Cold Atom Physics and Bose-Einstein Condensates

Localization and tunneling effects in percolating systems are studied using the homomorphic-cluster and coherent-potential approximations. The localization behavior of the electron states and hence the mobility edges are analyzed by means of the localization functions L(E) and F(E). When tunneling is neglected, the problem at hand reduces to the ordinary quantum percolation model. As the tunneling strength is increased, the percolation threshold decreases and no localization transition occurs when the tunneling is sufficiently strong.