Scaling Behavior of Level Spacing Distribution in the Lowest Landau Band of Two- Dimensional Disordered Electrons
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概要
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The spacing distributions of unfolded energy levels in the lowest Landau band formed in disordered two-dimensional electron systems are numerically studied for different energy regions. By fitting the distribution function to an appropriate interpolation formula, the level repulsion parameter β is obtained as a function of the unfolded energy x. The functional forms of β (x) for different system sizes are found to exhibit a certain scaling behavior. From this scaling property, it is possible to estimate the exponent of the localization length as a function of energy, which is found to be 2.4±0.2, consistent with previously reported values. Possible applications to other Anderson transitions are also discussed.
- 社団法人日本物理学会の論文
- 1993-11-15
著者
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ONO Yoshiyuki
Department of Physics,Toho University
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OHTSUKI Tomi
Department of Physics,Sophia University
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Ohtsuki Tomi
Department Of Physics Toho University
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Ohtsuki Tomi
Department Of Physics Faculty Of Science University Of Tokyo
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Ono Yoshiyuki
Department Of Physicis Toho University
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