https://doi.org/10.1007/s100510070258
Critical quantum chaos in 2D disordered systems with spin-orbit coupling
Department of Physics, University of Ioannina, Ioannina 45 110, Greece
Corresponding author: a me00011@cc.uoi.gr
Received:
1
September
1999
Published online: 15 July 2000
We examine the validity of the recently proposed
semi-Poisson level spacing distribution function P(S),
which characterizes “critical quantum chaos”,
in 2D disordered systems with spin-orbit coupling.
At the Anderson transition we show that the semi-Poisson P(S)
can describe closely the critical distribution obtained with
averaged boundary conditions, over
Dirichlet in one direction with periodic in the other and
Dirichlet in both directions.
We also obtain a sub-Poisson linear
number variance 
, with asymptotic value 
.
The obtained critical statistics,
intermediate between Wigner and Poisson,
is discussed for disordered systems and chaotic models.
PACS: 05.45.Mt – Semiclassical chaos (“quantum chaos") / 71.30.+h – Metal-insulator transitions and other electronic transitions / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
