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Progress of Theoretical Physics

An Exact Form of First-Order Self-Energy in Random Lattice Problems

Fumiko Yonezawa

Published Apr 1, 1968• 14 citations
Publisher

Abstract

Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 942-957 A Solution of a Dyson Equation in Many-Impurity Problems in Solids Shozo Takeno Progress of Theoretical Physics Supplement No.53 (1973) pp. 1-76 Coherent Potential Approximation Fumiko Yonezawa and Kazuo Morigaki
DOI
10.1143/ptp.39.1076

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Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1346-1347 First-Order Self-Energy Expressed in the Form of a Continued Fraction Takeo Matsubara and Fumiko Yonezawa Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 900-901 Exact First Order Self-Energy of a Lattice with Random Impurities Melvin Stavn Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 477-493 Contribution to the Spin-Wave Theory of a Dilute Heisenberg Ferromagnet Takahito Kaneyoshi Progress of Theoretical Physics Vol. 44 No. 2 (1970) pp. 328-338 Contribution to the Theory of a Dilute Heisenberg Ferromagnet Takahito Kaneyoshi Progress of Theoretical Physics Supplement No.53 (1973) pp. 202-221 An Application of CPA to a Random Spin System Takeo Matsubara
Journal of the Physical Society of Japan 64 (1995) pp. 3699-3706 Specific Heat of the Two-Dimensional ±J Ising Model Makoto Inoue Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1438-1440 Impurity Problem in the Ising Model Katuro Sawada and Takeo Osawa Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 83-88 Critical Properties of Ising Models Containing Dilute Impurities Takeo Osawa and Katuro Sawada Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1212-1232 Concentration Expansion for Random Ising Systems Tsuguhiro Tamaribuchi and Fumihiko Takano
An approximate solution of a Dyson equation satisfied by a single particle Green's function in many-impurity problems in solids is obtained for an extended impurity perturbation potential. We assume that there is no overlapping of any two impurity potentials and that the range of the impurity potential is arbitrary. The coordinate representation of the Dyson equation is solved by transforming an iterative solution of the equation into a form with no repetitive summation indices appearing in any term of given order. By neglecting fluctuations of the impurity distribution, a set of equations are derived to determine the Green's function and the self-energy in a self-consistent manner. A group-theoretic consideration of the self-energy and some sum rules are given.
Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1603-1612 Distribution of Zeros of the Partition Function in the First and Second Order Phase Transitions Keiji Yamada, Huzio Nakano and Mamoru Yamashita Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 375-388 Landau Theory and the Inverse Temperature Series Expansion in the Method of Symmetry Breaking Potential Mamoru Yamashita Progress of Theoretical Physics Supplement No.87 (1986) pp. 1-22 Skeletonization, Fluctuating Mean-Field Approximations and Coherent Anomalies in Critical Phenomena Masuo Suzuki
Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 785-797 Ground State Energy of Bose Particle System Ryuzo Abe Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 Variational Study of Ground State of a Bose-Einstein Fluid Kazuo Hiroike Progress of Theoretical Physics Vol. 30 No. 4 (1963) pp. 421-434 Cluster Expansions and the Theory of Many-Boson Systems V. H. Smith, Jr. and H. A. Gersch Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1217-1226 An Extension of Jastrow's Method for the Quantum Mechanical Many-Body Problem with Strong Forces. I S. Ali, M. E. Grypeos and L. P. Kok