Numerical Study of Electron Localization and Entropy of Mixing

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概要

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• In order to perform a detailed analysis of computer results for the localization ofelectrons in two-dimensional disordered systems, we first carry out a numericalcalculation of wavefunctions for square lattice with the site-diagonal and/or off-diagonal random matrix elements. With a view to giving a reasonable prediction forinfinite systems, we propose the way how we could predict the infinite limit from ourresults for finite sizes. For the analysis, we use the distribution function of ?az?' -theamplitude of a given wavefunction at site i. Moreover, we introduce the entropy ofmixing as a new criterion for localization in addition to previously proposed criteria.According to our criteria, we assert that the "apparently" extended behaviours of thewavefunctions for finite sizes are interpreted as actually spurious where the lineardimensions of the system size is smaller than the localization length.

• 社団法人日本物理学会の論文
• 1982-02-15

著者

• Tokunaga Akira

  Osaka Industry University

• Yonezawa Fumiko

  Research Institute For Fundamental For Fundamental Physics Kyoto Uversity

• Yamamoto Masaki

  Osaka Industry University

• TSUJINO Keiichi

  Osaka Industry University

関連論文

• Homomorphic Cluster Coherent Potential Approximation for Systems with Site-Diagonal and/or Off-Diagonal Randomness
• Analyticity of Homomorphic Cluster Coherent Potential Approximation
• Analytic Properties of the Homomorphic Cluster Coherent Potential Approximation
• Homomorphic Cluster Coherent Potential Approximation for Off-Diagonal Randomness
• An Exact Form of First-Order Self-Energy in Random Lattice Problems
• A Systematic Approach to the Problems of Random Lattices. I : A Self-Contained First-Order Approximation Taking into Account the Exclusion Effect
• A Theoretical Approach to the Electronic Structure of Terahedrally-Bonded Amorphous Solids
• Numerical Study of Electron Localization and Entropy of Mixing

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