Dresden 2011 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 30: Complex Materials

MM 30.3: Talk

Wednesday, March 16, 2011, 16:45–17:00, IFW D

Eigenstates and electronic transport in the generalized Labyrinth tiling — •Stefanie Thiem and Michael Schreiber — Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany

Understanding the physical properties of quasicrystals requires a deeper insight into the nature of the eigenstates of these systems and their relation to the transport properties. We present results for d-dimensional quasiperiodic models based on the metallic mean sequences constructed by the inflation rule P_a = {x → y, y → yxy^a−1}, where x and y denote the strengths of the two bond types. The eigenstates of the quasiperiodic chain are obtained by numerical diagonalization of the tight-binding Hamiltonian. Higher dimensional solutions of the associated generalized labyrinth tiling are constructed then by a product approach from the one-dimensional eigenstates, allowing the numerical consideration of large systems up to 10¹¹ sites. Thereby, we obtain information about the localization of the wave functions by investigating the scaling behavior of the participation ratio and about the electronic properties by studying the scaling behavior of the wave packet spreading with time. We present results for different scaling exponents and investigate their relations in order to obtain a better understanding of the characteristics of quasicrystals.