Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems

Details Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems

1997-07-28

arxiv.org/abs/cond-mat/9707285v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages LaTeX, 2 ps-figures and style files included. To appear in Journ. of Physics: Condensed Matter (August 1997)

Scientific paper

10.1088/0953-8984/9/33/001

The statistics of the energy eigenvalues at the metal-insulator-transition of a two-dimensional disordered system with spin-orbit interaction is investigated numerically. The critical exponent $\nu$ is obtained from the finite-size scaling of the number $J_0$ which is related to the probability $Q_{n}(s)$ of having $n$ energy levels within an interval of width $s$. In contrast to previous estimates, we find $\nu=2.32\pm 0.14$ close to the value of the two-dimensional quantum Hall system.

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