Analytic Properties of the Homomorphic Cluster Coherent Potential Approximation
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概要
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We show that the breakdown of analyticity is not found in average Green'sfunctions which are obtained on the basis of the cluster coherent potential approx-imation for systems with substitutional disorder if the one particle totalhamiltonian for a given configuration is expressed as a sum of homomorphicsingle-cluster hamiltonians. Disorder can be site-diagonal and/or off-diagonal.In this article. the emphasis is laid on off-diagonal cases. We first treat three-dimensional disordered systems with a semielliptic distribution of nearestneighbour transfers {I',y}. We also apply our homomorphic cluster coherentapproximation (HCPA) to the bond percolation problem; we obtain the densitiesof states which show characteristic features found through a computer simulation.
- 社団法人日本物理学会の論文
- 1979-08-15
著者
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Odagaki Takashi
Department Of Chemistry Faculty Of Science Kyoto University
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Odagaki Takashi
Department Of Chemistry Kyoto University
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Yonezawa Fumiko
Research Institute For Fundamental For Fundamental Physics Kyoto Uversity
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