Analysis of Two Dimensional Electronic States in Strong Magnetic Field by Random Matrix Model

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概要

• 論文の詳細を見る

• Electronic states in a two dimensional random system with a perpendicular strongmagnetic field are analyzed by using a model Hamiltonian matrix which has randomelements reflecting the characteristics of the random potential such as the correlationlength. The random matrix model is suitable for numerical calculations and has advantages compared to preparing the random potential by distributing impurities par-tucularly when discussing correlated potential. As an example, the fractal dimen-sionality of extended states in the lowest Landau band is considered. It is found thatthe extended states have multifractal properties. The restxlts are compared with thoseobtained through the random potential model.Iquantum Hall effect, localization, fractal dimension, multilractality, inverse par- ]l ticipation numberl

• 社団法人日本物理学会の論文
• 1991-01-15

著者

• Kramer Bernhard

  I.institut Fur Theoretische Physik Universitat Hamburg

• OHTSUKI Tomi

  Department of Physics,Sophia University

• Kramer Bernhard

  Physikalisch-Technische Bundesanstalt

• ONO Yoshiyuki

  Toho University

• OHTSUKI Tomi

  University of Tokyo

• Ohtsuki T

  Sophia Univ. Tokyo

• Yoshiyuki Ono

  Department Of Physics Toho University

• Ohtsuki T

  Yokohama City Univ. Yokohama

• Ono Yoshiyuki

  Toho Univ. Chiba

• Ono Yoshiyuki

  Department Of Physics Faculty Of Science Toho University

関連論文

• Scaling Behavior of Level Statistics in Quantum Hall Regime
• Metal-Insulator Transition in Three-Dimensional Systems with Random Phase Hopping
• Level Spacing Distribution and Δ_3-Statistics of Two Dimensional Disordered Electrons in Strong Magnetic Field
• Anderson Transition in Three-Dimensional Systems in Strong Magnetic Fields
• Analysis of Two Dimensional Electronic States in Strong Magnetic Field by Random Matrix Model
• Inverse Participation Number and Fractal Dimensionality of Electronic States in a Two Dimensional System in Strong Perpendicular Magnetic Field
• Conductance Fluctuations in Two- Dimensional Systems in Random Magnetic Fields
• Study of Quantum Hall Effect by Random Matrix Model
• Electron Transport and Time-Dependent Perturbation in a Two-Dimensional Symplectic System
• Electron Transport and Time-Dependent Perturbation in a Two-Dimensional Symplectic System
• Phonon Dispersion Relations in Two-dimensional Peierls Phase(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
• Multi Mode Phonon Softening in Two-Dimensional Electron-Lattice System
• Critical Level Statistics in Two-Dimensional Disordered Electron Systems
• Anisotropic Fractal Dimensionality of Electronic States in Confined Two Dimensional System Subject to Strong Magnetic Field
• Hall Current Distributions in Quantum Hall Effect on Finite Cylinder Surface. II. Gate Barrier Effect
• Hall Current Distributions in Quatum Hall Effect on Finite Cylinder Surface
• Quantum Hall Conductivity and the Electronic States in Cylinder Geometry with Finite Width
• Fractionally Charged States in Quarter-Filled Electron-Phonon Systems^*
• A Numerical Study of Fractionally Charged States in One-Dimensional Electron-Phonon Systems with Commensurability 3
• Structure of Charge Density Waves in Nearly Quarter-Filled One-Dimensional Electron-Phonon Systems
• Complete Scaling Analysis of the Metal-Insulator Transition in Ge:Ga: Effects of Doping-Compensation and Magnetic Field(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
• Complete Scaling Analysis of the Metal-Insulator Transition in Ge:Ga : Effects of Doping-Compensation and Magnetic Field
• Three-Dimensional Quantum Percolation Studied by Level Statistics
• Transport in Two Dimensional Periodic Magnetic Fields
• Dephasing by Time-Dependent Random Potentials
• Anderson Transition of Three Dimensional Phonon Modes
• Potential Range Dependence of Mixing of Edge States in Quantum Hall Effect
• Two-Dimensional Tight-Binding Electrons in Electric and Magnetic Fields
• Stark Ladders in a Two-Dimensional Tight-Binding Lattice
• Scaling Behavior of Level Spacing Distribution in the Lowest Landau Band of Two- Dimensional Disordered Electrons
• Magnetic Field Induced Localization in Three Dimensional Metallic Systems
• Transport Properties of Two Dimensional Electrons in Magnetic Fields with Sine-Like Modulation
• Electric Field Induced Depinning of a Charged Soliton from an Impurity Center in Polyacetylene

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