3D quantum percolation studied by level statistics

Details 3D quantum percolation studied by level statistics 3D quantum percolation studied by level statistics

1999-11-15

arxiv.org/abs/cond-mat/9911214v1

Annalen der Physik, vol. 8 (1999) 121

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures included as eps files

Scientific paper

We study the metal-insulator transition on a three dimensional quantum percolation model by analyzing energy level statistics. The quantum percolation threshold $\pq$, which is larger than the classical percolation threshold $\pc$, becomes smaller when the time reversal symmetry (TRS) is broken, i.e. $\pq({\rm with TRS})>\pq({\rm without TRS})>\pc$. It is shown that critical exponents are consistent with the result of the Anderson transition, suggesting that the quantum percolation problem can be classified into the same universality classes of the Anderson transition. The shape of level statistics at the critical point is also reported.

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