https://doi.org/10.1007/s100510051173
Critical properties of the metal-insulator transition in anisotropic systems
Institut für Physik, Technische Universität,
09107 Chemnitz, Germany
Received:
25
October
1999
Published online: 15 June 2000
We study the three-dimensional Anderson model of
localization with anisotropic hopping, i.e., weakly coupled chains
and weakly coupled planes. In our extensive numerical study we
identify and characterize the metal-insulator transition by means of
the transfer-matrix method. The values of the critical disorder
Wc obtained are consistent with results of previous studies,
including multifractal analysis of the wave functions and energy-level
statistics. Wc decreases from its isotropic value with a
power law as a function of anisotropy. Using high accuracy data for
large system sizes we estimate the critical exponent as
. This is in agreement with its value in the
isotropic case and in other models of the orthogonal universality
class.
PACS: 71.30.+h – Metal-insulator transitions and other electronic transitions / 72.15.Rn – Localization effects (Anderson or weak localization) / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
