Typical-medium, multiple-scattering theory for disordered systems with Anderson localization

Abstract

The typical medium dynamical cluster approximation (TMDCA) is reformulated in the language of multiple scattering theory to make possible first principles calculations of the electronic structure of substitutionally disordered alloys including the effect of Anderson localization. The TMDCA allows for a systematic inclusion of non-local multi-site correlations and at same time provides an order parameter, the typical density of states, for the Anderson localization transition. The relation between the dynamical cluster approximation and the multiple scattering theory is analyzed, and is illustrated for a tight-binding model.

15 pages, 11 figures

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• Anderson Transitions
• Critical parameters from generalised multifractal analysis at the Anderson transition
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• Study of multiband disordered systems using the typical medium dynamical cluster approximation
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Cited by in corpus (6)

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• Analytic continuation-free Green's function approach to correlated electronic structure calculations
• Ab initio typical medium theory of substitutional disorder
• Correlated electronic structure with uncorrelated disorder
• Superconducting transition temperatures of pure vanadium and vanadium-titanium alloys in the presence of dynamical electronic correlations
• Locally self-consistent embedding approach for disordered electronic systems