https://doi.org/10.1140/epjb/e2002-00171-4
Finite-size scaling of the level compressibility at the Anderson transition
1
Institut für Physik, Technische Universität, 09107
Chemnitz, Germany
2
School of Engineering and Science, International University Bremen,
28725 Bremen, Germany
Corresponding author: a r.roemer@physik.tu-chemnitz.de
Received:
1
November
2001
Revised:
8
March
2002
Published online:
6
June
2002
We compute the number level variance 
and the
level compressibility χ from high precision data for the Anderson
model of localization and show that they can be used in order to
estimate the critical properties at the metal-insulator transition by
means of finite-size scaling. With N, W, and L denoting,
respectively, linear system size, disorder strength, and the average number
of levels in units of the mean level spacing, we find that both
and the integrated obey finite-size scaling.
The high precision data was obtained for an anisotropic
three-dimensional Anderson model with disorder given by a box
distribution of width W/2. We compute the critical exponent as 
and the critical disorder as 
in agreement with previous transfer-matrix studies in
the anisotropic model. Furthermore, we find 
at the metal-insulator transition in very close agreement with
previous results.
PACS: 71.30.+h – Metal-insulator transitions and other electronic transitions / 71.23.An – Theories and models; localized states / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
