Boundary conditions at the mobility edge

Abstract

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.

4 pages of revtex, new figures, new abstract, the text has been changed: The large energy behavior of the number variance has been found to be independent of the boundary conditions

References in corpus (4)

• Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
• Anomalous diffusion at the Anderson transitions
• Dependence of critical level statistics on the sample shape
• Spectral statistics of disordered metals in the presence of several Aharonov-Bohm fluxes

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