Coupled cluster treatments of periodic systems from strongly localized reference functions: 1-D and 2-D spin and electron lattices

International Journal of Quantum Chemistry

Volumn 67, Issue 2, 1998, Pages 115-132

  Miguel, Beatriz ^a   Cousy, Maixent ^b   Malrieu, Jean Paul ^b  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b European Theoretical Spectroscopy Facility   (France)

Author keywords

1 D and 2 D electron lattices; 1 D and 2 D spin frustrated lattices; Coupled cluster; Heisenberg and Hubbard Hamiltonians; Polyacetylene dimerization

Indexed keywords

EID: 8844276901     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-461X(1998)67:2<115::AID-QUA6>3.0.CO;2-Y     Document Type: Article

References (52)

1. F. Coester, Nucl. Phys. 7, 421 (1985).
2. F. Coester and H. Kummel, Nucl. Phys. 17, 477 (1960).
3. J. Cizek, J. Chem. Phys. 45, 4256 (1966).
4. J. Cizek, Adv. Chem. Phys. 14, 35 (1969).
5. R. J. Bartlett, J. Phys. Chem. 93, 1697 (1989).
6. R. J. Bartlet, Annul Rev. Phys. Chem. 32, 359 (1981).
7. A. C. Scheiner, G. E. Scuseria, J. E. Rice, T. J. Lee, and H. F. Schaefer III, J. Chem. Phys. 87, 5361 (1987).
8. D. J. Klein and M. A. Garcia-Bach, Int. J. Quant. Chem. 12, 237 (1977).
9. D. J. Klein, Phys. Rev. B 19, 870 (1979).
10. D. J. Klein and M. A. Garcia-Bach, Phys. Rev. B 19, 877 (1979).
11. M. Roger and J. H. Hetherington, Phys. Rev. B 41, 200 (1990).
12. M. Roger and J. H. Hetherington, Europhys. Lett., 11, 255 (1990).
13. F. Harris, J. Phys. Rev. B 47, 7903 (1993)
14. R. F. Bishop, J. B. Parkinson, and Y. Xian, Phys. Rev. B 43, 13782 (1991).
15. R. F. Bishop, J. B. Parkinson, and Y. Xian, Phys. Rev. B 44, 9425 (1991).
16. R. F. Bishop, R. G. Hale, and Y. Xian, Phys. Rev. Lett. 73, 3157 (1994).
17. F. Cornu, T. Jolicoeur, and J. C. LeGuillou, Phys. Rev. B 49, 9548 (1994).
18. B. Miguel, J. P. Malrieu, and A. Pellegati, Int. J. Quant. Chem. Symp. 29, 245 (1995).
19. B. Miguel and J. P. Malrieu, Phys. Rev. B 54, 1652 (1996).
20. S. Capponi, N. Guihery, J. P. Malrieu, B. Miguel, and D. Poilblanc, J. Chem. Phys. Lett. 225, 238 (1996).
21. J. Solyom, Phys. Rev. B 37, 5781 (1988).
22. R. Chitra, S. Pati, H. R. Krishnamurthy, D. Sen, and S. Ramasesha, Phys. Rev. B 52, 6581 (1995).
23. H. J. Schulz, T. Ziman, and D. Poilblanc, Magnetic System with Competing Interaction (World Scientific, Singapore, 1994).
24. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
25. F. Petit and M. Roger, Phys. Rev. B 49, 3453 (1994).
26. M. Urban, J. Noga, S. J. Cole, and R. J. Bartlet, J. Chem. Phys. 83, 4041 (1985).
27. D. J. Klein, Int. J. Quant. Chem. 20, 153 (1986).
28. H. A. Bethe, Z. Phys. 71, 205 (1931).
29. C. K. Majumdar and D. K. Ghosh, J. Math. Phys. 10, 1338 (1969).
30. C. K. Majumdar, Phys. Rev. C 3, 911 (1970).
31. K. Okamoto and K. Nomura, Phys. Lett. A 169, 433 (1992).
32. J. Carson, Phys. Rev. B 40, 846 (1986).
33. N. Trivedi and D. M. Ceperley, Phys. Rev. B 41, 4552 (1990).
34. M. B. Lepetit, B. Oujia, J. P. Malrieu, and D. Maynau, Phys. Rev. A 39, 3274 (1989).
35. S. Sorella, E. Tosatti, S. Baroni, R. Car, and M. Parrinello, Int. J. Mod. Phys. B 1, 993 (1988).
36. J. E. Hirsch, Phys. Rev. Lett. 51, 1900 (1983).
37. G. Fano, F. Ortolani, and A. Parola, Phys. Rev. B 42, 6877 (1990).
38. H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 56, 3582 (1987).
39. S. R. White, D. J. Scalpino, R. L. Sugar, E. Y. Loh, J. E. Gubernatis, and R. T. Scalettar, Phys. Rev. B 40, 506 (1989).
40. M. A. Garcia-Bach, P. Biaise, and J. P. Malrieu, Phys. Rev. B 46, 15645 (1992).
41. M. Said, D. Maynau, J. P. Malrieu, and M. A. Garcia-Bach, J. Am. Chem. Soc. 106, 571 (1984).
42. R. Pariser and R. G. Parr, J. Chem. Phys. 21, 466 (1953).
43. J. A. Pople. Trans. Faraday Soc. 49, 1375 (1953).
44. H. C. Longuet-Higgings and L. Salem, Proc. Roy. Soc., (London) A 25, 172 (1959).
45. G. Koeuig and G. Stollhoff, Phys. Rev. Lett. 65, 1239 (1990).
46. M. B. Lepetit and G. Pastor, Phys. Rev. B 56, 4447 (1997).
47. J. S. Arponen, R. F. Bishop, and E. Pajanne, Phys. Rev. A 36, 2539 (1987).
48. D. J. Klein, M. A. Garcia-Bach, and W. A. Seitz, J. Mol. Struct (Theochem) 185, 275 (1989)
49. R. F. Bishop and H. Kummel, Phys. Today 40 (3), 52 (1987), and references therein.
50. M. Takahashi and J. Paldus, Phys. Rev. B 31, 5121 (1985).
51. M. Takahashi and J. Paldus, Int. J. Quant. Chem. 28, 459 (1985).
52. J. Q. Sun and R. J. Bartlett, J. Chem. Phys. 104, 8553 (1996).