Fractal dimensionality of wave functions at the mobility edge: Quantum fractal in the Landau levels.
Fractal dimensionality of wave functions at the mobility edge: Quantum fractal in the Landau levels.
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波函数在迁移边缘的分形维数：朗道能级中的量子分形。
DOI：
10.1103/physrevb.33.7310
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
Aoki
中科院分区：
文献类型：
--
作者：
Aoki
无序电子系统中分离定域态和扩展态的临界能量处的波函数具有分形结构。本文给出了考虑波函数相位的二维朗道量化系统在强磁场和湍流结构中的分形维数的数值计算结果。讨论了对输运性质的影响。
Wave functions at the critical energy separating localized and extended states in disordered electron systems are shown to have fractal structure. We present results for the fractal dimensionality numerically calculated for a two-dimensional system with Landau quantization in strong magnetic fields together with a turbulent structure when the phase of the wave function is considered. Implications for transport properties are discussed.