Critical Level Statistics in Two-dimensional Disordered Electron Systems

Details Critical Level Statistics in Two-dimensional Disordered Electron Systems Critical Level Statistics in Two-dimensional Disordered Electron Systems

1995-09-25

arxiv.org/abs/cond-mat/9509146v1

Physics

Condensed Matter

LaTeX, to be published in J. Phys. Soc. Jpn. (Letter) Nov., Figures will be sent on request

Scientific paper

10.1143/JPSJ.64.4088

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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