The Role of Power-Law Correlated Disorder in the Anderson Metal-Insulator Transition

Details The Role of Power-Law Correlated Disorder in the Anderson Metal-Insulator Transition The Role of Power-Law Correlated Disorder in the Anderson Metal-Insulator Transition

2011-12-19

arxiv.org/abs/1112.4469v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures

Scientific paper

We study the influence of scale-free correlated disorder on the metal-insulator transition in the Anderson model of localization. We use standard transfer matrix calculations and perform finite-size scaling of the largest inverse Lyapunov exponent to obtain the localization length for respective 3D tight-binding systems. The density of states is obtained from the full spectrum of eigenenergies of the Anderson Hamiltonian. We discuss the phase diagram of the metal-insulator transition and the influence of the correlated disorder on the critical exponents.

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