Absence of diffusion in certain random lattices: Numerical evidence

Details Absence of diffusion in certain random lattices: Numerical evidence Absence of diffusion in certain random lattices: Numerical evidence

2008-07-16

arxiv.org/abs/0807.2531v3

Acta Physica Universitatis Comenianae vo. L-LI (2009-2010), 45

Physics

Condensed Matter

Disordered Systems and Neural Networks

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Scientific paper

We demonstrate, by solving numerically the time-dependent Schroedinger equation, the physical character of electron localization in a disordered two-dimensional lattice. We show, in agreement with the prediction of P. W. Anderson, that the disorder prevents electron diffusion. The electron becomes spatially localized in a specific area of the system. Our numerical analysis confirms that the electron localization is a quantum effect caused by the wave character of electron propagation and has no analogy in classical mechanics.

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