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Critical Level Statistics in Two-dimensional Disordered Electron Systems

Tomi Ohtsuki·Yoshiyuki Ono
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Abstract

The level statistics in the two dimensional disordered electron systems in magnetic fields (unitary ensemble) or in the presence of strong spin-orbit scattering (symplectic ensemble) are investigated at the Anderson transition points. The level spacing distribution functions $P(s)$'s are found to be independent of the system size or of the type of the potential distribution, suggesting the universality. They behave as $s^2$ in the small $s$ region in the former case, while $s^4$ rise is seen in the latter.

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Tomi Ohtsuki, Yoshiyuki Ono. 1995-09-25. Critical Level Statistics in Two-dimensional Disordered Electron Systems. https://doi.org/10.1143/jpsj.64.4088

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