Anisotropic Fractal Dimensionality of Electronic States in Confined Two Dimensional System Subject to Strong Magnetic Field

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概要

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• The anisotropic fractal dimensionality of the extended electronic states is studiedfor a two dimensional disordered system subject to a strong jcerpendicular magneticfield, through the system size dependence of the inverse participation number (JPN)of the eigenstates. The system is assumed to satisfy the periodic boundary conditionin the ,v-direction, and the Dirichlet boundary condition in the ,v-direction. The casewith short ranged impurity potentials is considered. Two kinds of effective dimensionalities d: and d7 are obtained from the width (L.) and the length (L,)dependences of JPN. For the bulk extended states, d: and d$ are estimated as0.76:0.05 and 0.77S0.09, respectively. Through the artalysis of the energydependence of d: and d;, we find the crossover between very anisotropic extendedstates (edge states) and almost isotropic extended states (bulk extended states).[quantum Hall effect, localization, fractal dimension, iutverse participation ll numberl

• 社団法人日本物理学会の論文
• 1990-07-15

著者

• ONO Yoshiyuki

  Department of Physics,Toho University

• FUKUDA Seiichi

  Department of Neonatology, Medical Center for Maternal and Child Health,St.Mary's Hospital

• Fukuda Seiichi

  Department Of Physics Toho University

• Yoshiyuki Ono

  Department Of Physics Toho University

• Fukuda Seiichi

  Department Of Internal Medicine Keio University School Of Medicine

• Ono Yoshiyuki

  Department Of Physicis Toho University

• Fukuda S

  Toho Univ. Chiba

• Fukuda Seiichi

  Department Of Internal Medicine International University Of Health And Welfare Mita Hospital

• Ono Yoshiyuki

  Department Of Physics Faculty Of Science Toho University

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