K. Yakubo et M. Ono, FINITE-SIZE-SCALING OF MULTIFRACTAL WAVE-FUNCTIONS - THE METAL-INSULATOR-TRANSITION IN 2-DIMENSIONAL SYMPLECTIC SYSTEMS, Physical review. B, Condensed matter, 58(15), 1998, pp. 9767-9772
A finite-size scaling analysis of wave functions near the metal-insula
tor transition (MIT) point has been developed, and applied to the MIT
in a two-dimensional disordered electron system in the presence of spi
norbit interaction. The present method has the following advantages: (
i) Quantities characterizing the critical behavior, such as the critic
al disorder W-c or the localization exponent nu, are multiply calculat
ed from independent scaling analyses of spatial parts with different i
ntensities in wave functions. (ii) These quantities and the multifract
ality of the critical wave function are determined simultaneously. (ii
i)It is not necessary to treat many samples with different sizes. (iv)
Much computing time is saved, and the scaling analysis can be done up
to very large sizes. Using this method, we obtained W-c=5.86+/-0.04 a
nd nu= 2.41+/-0.24 for a model of a two-dimensional symplectic system.
[S0163-1829(98)08039-4].