Unusual localisation effects in quantum percolation

Details Unusual localisation effects in quantum percolation Unusual localisation effects in quantum percolation

2004-06-30

arxiv.org/abs/cond-mat/0406750v1

Phys. Rev. B 71, 045126 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 7 figures

Scientific paper

10.1103/PhysRevB.71.045126

We present a detailed study of the quantum site percolation problem on simple cubic lattices, thereby focussing on the statistics of the local density of states and the spatial structure of the single particle wavefunctions. Using the Kernel Polynomial Method we refine previous studies of the metal-insulator transition and demonstrate the non-monotonic energy dependence of the quantum percolation threshold. Remarkably, the data indicates a ``fragmentation'' of the spectrum into extended and localised states. In addition, the observation of a chequerboard-like structure of the wavefunctions at the band centre can be interpreted as anomalous localisation.

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