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Jan W. Kantelhardt

Publications and source records attributed to Jan W. Kantelhardt.

20 records · Page 2Linked to original sources

No indications of metal-insulator transition for systems of interacting electrons in two dimensions

The influence of Coulomb interaction on transport properties of spinless electrons in small disordered two dimensional systems is studied within a tight binding model. Spatial correlations, inverse participation ratio, and multifractal spectrum of the zero temperature local tunneling amplitude as well as the DC Kubo conductance are traced as function of the interaction strength $U$. When $U$ is increased, all of the above quantities are shifted rather smoothly towards localized behavior, indicating the absence of an interaction driven insulator-metal transition.

cond-mat.mes-hall↗

Extended Fractons and Localized Phonons on Percolation Clusters

We investigate the localization behavior of vibrational modes of infinite percolation clusters above the critical concentration in two and three dimensions using the method of level statistics. We find that all eigenstates are localized in d=2, including the low frequency phonon states. In d=3 we obtain evidence for a localization-delocalization transition. But contrary to the common view this transition occurs for frequencies above the phonon fracton crossover giving rise to a new regime of extended fracton states.

cond-mat.dis-nn↗