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

L. Schweitzer·I. Kh. Zharekeshev
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Abstract

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 $ν$ 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 $ν=2.32\pm 0.14$ close to the value of the two-dimensional quantum Hall system.

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L. Schweitzer, I. Kh. Zharekeshev. 1997-07-28. Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems. https://doi.org/10.1088/0953-8984%2F9%2F33%2F001

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