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Prog. Theor. Phys. Vol. 69 No. 6 (1983) pp. 1686-1703

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Culster Expansion for the Thermodynamic Potential of Simple Metals

Kuniyoshi Ebina

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

(Received December 7, 1982)

Abstract:

A cluster expansion scheme is presented for the thermodynamic potential of simple metals based on the thermodynamic formulation of Luttinger and Ward in terms of the proper self-energy. The obtained expansion proves equivalent to a resummation of the anomalous terms in the simple structural expansion. The contribution from a specific cluster to the ground-state energy is examined numerically, with a particular interest in the role of Lloyd and Sholl's singularity appearing in the third-order perturbation.


URL : http://ptp.ipap.jp/link?PTP/69/1686/
DOI : 10.1143/PTP.69.1686

[ Full Text PDF : FREE ACCESS (647K) ] Citation:


References:

  1. P. Lloyd and C. A. Sholl, J. of Phys. C 1 (1968), 1620[IoP STACKS].
  2. V. Heine and D. Weaire, Solid State Phys. 24 (1970), 249.
  3. E. G. Brovman and Yu. Kagan, Uspekhi Fiz. Nauk. 112 (1974), 369 [Soviet Phys. Uspekhi 17 (1974), 924].
  4. H. Nagara, H. Miyagi and T. Nakamura, Prog. Theor. Phys. 64 (1980), 731[PTP].
  5. J. Hammerberg and N. W. Ashcroft, Phys. Rev. B 9 (1974), 409[APS].
  6. T. Nakamura, H. Nagara and H. Miyagi, Prog. Theor. Phys. 63 (1980), 368[PTP].
  7. A. R. Williams and D. Weaire, J. of Phys. C 3 (1970), 387[IoP STACKS].
  8. V. V. Avilov, Zh. Eksp. i Teor. Fiz. 77 (1979), 2331 [Soviet Phys. -JETP 50 (1979), 1122].
  9. J. M. Luttinger and J. C. Ward, Phys. Rev. 118 (1960), 1417[APS].
  10. J. M. Luttinger, Phys. Rev. 119 (1960), 1153[APS].
  11. P. Hohenberg and W. Kohn, Phys. Rev. 136 (1964), B864[APS].
  12. P. Nozières, Theory of Interacting Fermi Systems (Benjamin, 1964).
  13. H. Miyagi, H. Nagara and T. Nakamura, Prog. Theor. Phys. 63 (1980), 1509[PTP].
  14. K. Ebina, H. Nagara and H. Miyagi, Prog. Theor. Phys. 68 (1982), 781[PTP].
  15. R. Kubo, J. Phys. Soc. Jpn. 17 (1962), 1100[JPSJ].
  16. W. Kohn and J. M. Luttinger, Phys. Rev. 118 (1960), 41[APS].
  17. Yu. Kagan, V. V. Pushkarev and A. Kholas, Zh. Eksp. i Teor. Fiz. 73 (1977), 967 [Soviet Phys. -JETP 46 (1977), 511].
  18. H. Nagara, unpublished work.