Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 41: Poster - Pattern/ Nonlinear Dyn./ Fluids/ Granular/ Critical Phen.

DY 41.44: Poster

Donnerstag, 3. April 2014, 17:00–19:00, P3

Analysis of localisation-delocalisation transitions in corner-sharing tetrahedral lattices — •Martin Puschmann, Philipp Cain, and Michael Schreiber — Institute of Physics, Chemnitz University of Technology, Chemnitz

The corner-sharing tetrahedral lattice appears as a sublattice in different materials, e.g. spinels and pyrochlore. We consider the transport of non-interacting electrons and analyse the localisation-delocalisation (LD) transition induced by random on-site potentials. Three different methods (multifractal analysis, Green resolvent method, energy-level statistics) are used to explore the phase diagram, which is then compared to the results of a recent study [1]. With particular emphasis we calculate the propagation of statistical errors within our results in order to get an accurate error estimate. Furthermore these methods yield detailed insight into the critical behaviour at the LD transition, i.e. the divergence of the correlation length, which is characterized by the value of the universal critical exponent.

[1] F. Fazileh, X. Chen, R. J. Gooding, and K. Tabunshchyk, Phys. Rev. B73, 035124 (2006)