Wednesday, October 17, 2012

1210.4267 (Biplab Pal et al.)

Complete absence of localization in a family of disordered lattices    [PDF]

Biplab Pal, Santanu K. Maiti, Arunava Chakrabarti
We present analytical results supported by numerical analysis to show that even in a discrete tight-binding model, a random arrangement of a simple four-atom diamond cell in a host lattice of identical atoms can render the entire energy spectrum absolutely continuous when special correlations in the numerical values of a subset of the system parameters are enforced. The observation is in total contrast to the canonical case of Anderson localization, which is insensitive to the numerical values of the parameters describing the system. The result has been verified for a wide variety of geometries, and rings true in every case.
View original: http://arxiv.org/abs/1210.4267

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