Dresden 2011 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 44: Poster Session I

HL 44.69: Poster

Dienstag, 15. März 2011, 18:00–21:00, P3

The Role of Power-Law Correlated Disorder in the Anderson Metal-Insulator Transition — •Alexander Croy¹, Philipp Cain², and Michael Schreiber² — ¹Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — ²Institut für Physik, Technische Universität, 09107 Chemnitz, Germany

The Anderson Model of localization provides a paradigmatic description of a metal-insulator transition (MIT). A systematic variation of the effective disorder of the energy potential in a three dimensional (3D) sample leads to a change of the electronic wave function from extended to localized behavior. This MIT is characterized by a set of critical parameters,e.g., universal exponents, which depend on the type of disorder.

Here we study the case of long-ranged power-law correlated disorder. In one dimension we compare our numerical results with analytical predictions. In 3D the influence of long-range correlations on the MIT is still largely unexplored. We present numerical simulations for the density of states and the localization length for 1D and 3D systems using standard transfer matrix calculations and finite size scaling of the largest inverse Lyapunov exponent. Further we discuss the phase diagram of the MIT and the influence of the correlations on the critical exponents.