Heisenberg-model cluster expansion for half-filled Hubbard and PPP models

References

• Pople , J.A. 1953 . Trans. Faraday Soc. , 49 : 1375 – 1375 . (b) Pariser, R., and Parr, R. G., 1953, J. chem. Phys., 21, 466, 767. (c) Koutecky, J., 1967, Chem. Phys. Lett., 1, 249.
   Google Scholar
• Freed , K.F. 1974 . J. chem. Phys. , 60 : 1765 – 1765 . (b) Iwata, S., and Freed, K. F., 1976, J. chem. Phys., 65, 1071. (c) Freed, K. F., 1983, Accts. Chem. Res., 16, 137.
   Web of Science ®Google Scholar
• Fischer , S. 1970 . Int. J. quant. Chem. , 3S : 651 – 651 . (b) Westhaus, P., Bradford, E. G., and Hall, D., 1975, J. chem. Phys., 62, 1607. (c) Kvasnicka, V., 1975, Phys. Rev. A, 12, 1159. (d) Brandow, B. H., 1979, Int. J. quant. Chem., 15, 207.
   Google Scholar
• Hubbard , J. 1963 . Proc. R. Soc. A , 276 : 238 – 238 . 1964, Ibid., 272, 237; 1964, Ibid., 281, 401.
   Google Scholar
• Soos , Z.G. and Klein , D.J. 1975 . Molecular Association , Edited by: Foster , R. 1 – 109 . Academic Press .
   Google Scholar
• Matsen , F.A. 1978 . Accts. Chem. Res. , 11 : 387 – 387 .
   Web of Science ®Google Scholar
• See, e.g. Mattis D.C. The Theory of Magnetism Harper & Row 1965
   Google Scholar
• Van Vleck , J.H. and Sherman , A. 1935 . Rev. mod. Phys. , 7 : 167 – 167 . (b) Simpson, W. T., 1962, Theories of Electrons in Molecules, Prentice-Hall
   Google Scholar
• See, e.g. Eyring H. J. Am. chem. Soc. 1932 54 3191 3191 (b) Pauling, L., and Wheland, G. W., 1933, J. chem. Phys., 1, 362. (c) Wheland, G. W., 1955, Resonance in Organic Chemistry (Wiley).
   Google Scholar
• Anderson , P.W. 1963 . Solid State Physics , Edited by: Ehrenreich , H. , Seitz , F. and Turnbull , D. Vol. 14 , 99ff – 99ff . Academic Press . p. 99f. (b) Linderberg, J., and Ohrne, Y., 1973, Propagators in Quantum Chemistry (Academic Press), Chap. 10. (c) Brandow, B. H., 1977, Adv. Phys., 26, 651.
   Google Scholar
• Buleavski , L.N. 1967 . Sov. Phys. JETP , 24 : 154 – 154 .
   Google Scholar
• Poshusta , R.D. and Klein , D.J. 1982 . Phys. Rev. Lett. , 48 : 1555 – 1555 . (b) Malrieu, J. P., Maynau, D., and Daudey, J. P., 1984, Phys. Rev. B, 30, 1817.
   Web of Science ®Google Scholar
• Klein , D.J. and Foyt , D.C. 1973 . Phys. Rev. A , 8 : 2280 – 2280 . (b) Klein, D. J., Seitz, W. A., Garcia-Bach, M. A., Picone, J. M., and Foyt, D. C., 1983, Int. J. quant. Chem., 17S, 555.
   Web of Science ®Google Scholar
• Economou , E.N. and White , C.T. 1977 . Phys. Rev. Lett. , 38 : 289 – 289 . (b) Economou, E. N., and Mihas, P., 1977, J. Phys. C, 10, 5017.
   Web of Science ®Google Scholar
• Durand , Ph. 1983 . Phys. Rev. A , 28 : 3184 – 3184 . (b) Malrieu, J. P., and Maynau, D., 1982, J. Am. chem. Soc., 104, 3021, 3029. (c) Maynau, D., Garcia-Bach, M. A., and Malrieu, J. P., 1986, J. Phys., Paris, 47, 207.
   Web of Science ®Google Scholar
• Longuet-Higgins , H.C. and Salem , L. 1960 . Proc. R. Soc. A , 257 : 445 – 445 . (b) Murrell, J. N., and Salem, L., 1961, J. chem. Phys., 34, 1914.
   Google Scholar
• Schulten , K. , Ohmine , I. and Karplus , M. 1976 . J. chem. Phys. , 64 : 4422 – 4422 .
   Web of Science ®Google Scholar
• Lieb , E.H. and Wu , F.Y. 1968 . Phys. Rev. Lett. , 20 : 1445 – 1445 .
   Web of Science ®Google Scholar
• Klein , D.J. 1986 . Int. J. quant. Chem. , 20S : 153 – 153 .
   Google Scholar
• Trinajstic , N. 1983 . Chemical Graph Theory , Chemical Rubber Co. .
   Google Scholar
• Rota , G.C. 1964 . Z. Wahr. Verw. Geb. , 2 : 340 – 340 . (b) Domb, C., 1974, Phase Transitions and Critical Phenomena, Vol. III, edited by C. Domb and M. S. Green (Academic Press), pp. 1–94.
   Google Scholar
• Klein , D.J. to be submitted
   Google Scholar
• Klein , D.J. 1980 . J. Phys. A , 13 : 3141 – 3141 .
   Google Scholar
• Hulthen , L. 1938 . Arkiv Mat. Astron. Fys. A , 26 : 1 – 1 .
   Google Scholar
• Ananthakrishna , G. , Weiss , L.F. , Foyt , D.C. and Klein , D.J. 1976 . Physica B , 81 : 275 – 275 .
   Google Scholar
• Smart , J.S. 1966 . Effective Field Theories of Magnetism , W. B. Saunders .
   Google Scholar
• Takahashi , M. 1977 . J. Phys. C , 10 : 1289 – 1289 .
   Web of Science ®Google Scholar