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Prog. Theor. Phys. Vol. 63 No. 5 (1980) pp. 1509-1527

Structural Expansion for the Ground-State Energy of Simple Metals. II

Hiroshi Miyagi, Hitose Nagara and Tuto Nakamura

Department of Material Physics, Faculty of Engineering Science, Osaka University, Toyonaka 560

(Received November 26, 1979)

Abstract:

A self-consistent treatment is given for the Green's function which determines the structure-dependent part of the ground-state energy for simple metals. An expansion in the resulting screened interactions is given exactly up to fourth order. In addition to the previously examined one-electron terms (I), which are the most important ones, the present paper treats the next important terms which may be related to the first-order effect of the exchange energy due to inhomogeneous charge distribution. In fourth order of the expansion, the mentioned term shows the same singularity as the third-order one-electron term, Brovman and Kagan's singularity. It is proved that the Hartree-Fock result exaggerates the first-order exchange effect, most strikingly in the close vicinity of the singular point. Effect of the dynamical shielding on the considered term is also studied, particularly in the third-order term of the expansion.

URL : http://ptp.ipap.jp/link?PTP/63/1509/
DOI : 10.1143/PTP.63.1509

[ Full Text PDF : FREE ACCESS (1180K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. T. Nakamura, H. Nagara and H. Miyagi, Prog. Theor. Phys. 63 (1980), 368[PTP].
2. E. G. Brovman, Yu. Kagan and A. Kholas, Zh. Eksp. i Teor. Fiz. 61 (1971), 2429 [Sov. Phys. -JETP 34 (1972), 1300].
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Citing Article(s) :

1. Journal of the Physical Society of Japan 57 (1988) pp. 2751-2762 :

   Structural Expansion of the Ground-State Energy of Simple Metals in the Local-Density Approximation

   Hiroshi Miyagi, Takuji Hatano and Hitose Nagara

2. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 731-746 :

   Structural Phase Transition of High-Density Hydrogen at Zero Temperature. I

   Hitose Nagara, Hiroshi Miyagi and Tuto Nakamura

3. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 747-757 :

   Structural Expansion for the Ground-State Energy of Simple Metals. III

   Hiroshi Miyagi and Hitose Nagara

4. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 66-82 :

   Structural Expansion for the Ground-State Energy of Simple Metals. IV

   Hiroshi Miyagi

5. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 781-794 :

   Exchange-Correlation Effects on the Higher-Order Polarizations of an Electron Gas

   Kuniyoshi Ebina, Hitose Nagara and Hiroshi Miyagi

6. Progress of Theoretical Physics Vol. 69 No. 6 (1983) pp. 1686-1703 :

   Culster Expansion for the Thermodynamic Potential of Simple Metals

   Kuniyoshi Ebina

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