| Issue |
Europhys. Lett.
Volume 34, Number 8, June II 1996
|
|
|---|---|---|
| Page(s) | 587 - 592 | |
| Section | Condensed matter: electronic structure, electrical, magnetic and optical properties | |
| DOI | https://doi.org/10.1209/epl/i1996-00499-9 | |
| Published online | 01 September 2002 | |
Crossover of level statistics between strong and weak localization in two dimensions
1
I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstrasse
9, D-20355 Hamburg, Germany
2
Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116
Braunschweig, Germany
Received:
20
September
1995
Accepted:
18
April
1996
We investigate numerically the statistical properties of spectra
of two-dimensional disordered systems
by using the exact diagonalization and decimation method
applied to the Anderson model.
Statistics of the spacings calculated for system size up to
lattice sites exhibits a crossover between Wigner
and Poisson distributions.
We perform a self-contained finite-size scaling
analysis to find a single-valued
one-parameter function 
which governs the
crossover.
The scaling parameter 
is deduced and compared with the
localization length.
does not
show
critical behaviour
and has two asymptotic regimes corresponding to
weakly and strongly localized states.
PACS: 71.55.Jv – Disordered structures; amorphous and glassy solids / 72.15.Rn – Quantum localization / 05.45.+b – Theory and models of chaotic systems
© EDP Sciences, 1996
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