Boundary conditions at the mobility edge

Details Boundary conditions at the mobility edge Boundary conditions at the mobility edge

1997-12-22

arxiv.org/abs/cond-mat/9712256v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages of revtex, new figures, new abstract, the text has been changed: The large energy behavior of the number variance has

Scientific paper

10.1103/PhysRevLett.81.1062

It is shown that the universal behavior of the spacing distribution of nearest energy levels at the metal--insulator Anderson transition is indeed dependent on the boundary conditions. The spectral rigidity $\Sigma^2(E)$ also depends on the boundary conditions but this dependence vanishes at high energy $E$. This implies that the multifractal exponent $D_2$ of the participation ratio of wave functions in the bulk is not affected by the boundary conditions.

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