Backflow correlations for the electron gas and metallic hydrogen

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 4 2, 2003, Pages 467071-4670715

  Holzmann, M ^a,b   Ceperley, D M ^b,c   Pierleoni, C ^c,d   Esler, K ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c Centre Europeen de Calcul Atomique et Moleculaire   (France)

^d UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BAND STRUCTURE; COMPUTER SIMULATION; ELECTRON GAS; ELECTRONS; HYDROGEN; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; PROTONS;

BACKFLOW CORRELATIONS; TWO-COMPONENT SYSTEM; WAVE FUNCTIONS;

WAVE EQUATIONS;

EID: 0347566004     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. W.M. Foulkes, L. Mitas, R.J. Needs, and G. Rajagopal, Rev. Mod. Phys. 73, 33 (2001).
2. D.M. Ceperley and B.J. Alder, Physica B & C 108, 875 (1981); Phys. Rev. B 36, 2092 (1987).
3. D.M. Ceperley and B.J. Alder, Physica B & C 108, 875 (1981); Phys. Rev. B 36, 2092 (1987).
4. V. Natoli, R.M. Martin, and D.M. Ceperley, Phys. Rev. Lett. 70, 1952 (1993), and unpublished data in Natoli's thesis.
5. V. Natoli, R.M. Martin, and D. Ceperley, Phys. Rev. Lett. 74, 1601 (1995).
6. M. Dewing and D.M. Ceperley, in Recent Advances in Quantum Monte Carlo Methods, II, edited by S. Rothstein (World Scientific, Singapore, 2002).
7. D.M. Ceperley, M. Dewing, and C. Pierleoni, in Bridging Time Scales, edited by P. Nielaba et al., Lecture Notes in Physics Vol. 605 (Springer-Verlag, Berlin, 2003), pp. 473-499.
8. S. Fahy and C. Filippi, J. Chem. Phys. 112, 3523 (2000); D. Prendergast, D. Bevan, and S. Fahy, Phys. Rev. B 66, 155104 (2002).
9. S. Fahy and C. Filippi, J. Chem. Phys. 112, 3523 (2000); D. Prendergast, D. Bevan, and S. Fahy, Phys. Rev. B 66, 155104 (2002).
10. E. Krotscheck and M. Saarela, Phys. Rep. 232, 1 (1993).
11. R.P. Feynman and M. Cohen, Phys. Rev. 102, 1189 (1956).
12. Y. Kwon, D.M. Ceperley, and R.M. Martin, Phys. Rev. B 58, 6800 (1998).
13. V.R. Pandharipande and N. Itoh, Phys. Rev. A 8, 2564 (1973).
14. K.E. Schmidt and V.R. Pandharipande, Phys. Rev. B 19, 2504 (1979).
15. E. Manousakis, S. Fantoni, V.R. Pandharipande, and Q.N. Usmani, Phys. Rev. B 28, 3770 (1983).
16. M.A. Lee, K.E. Schmidt, M.H. Kalos, and G.V. Chester, Phys. Rev. Lett. 46, 728 (1981).
17. K.E. Schmidt, M.A. Lee, M.H. Kalos, and G.V. Chester, Phys. Rev. Lett. 47, 807 (1981).
18. R.M. Panoff and J. Carlson, Phys. Rev. Lett. 62, 1130 (1989).
19. S. Moroni, S. Fantoni, and G. Senatore, Phys. Rev. B 52, 13 547 (1995).
20. Y. Kwon, D.M. Ceperley, and R.M. Martin, Phys. Rev. B 48, 12 037 (1993).
21. S.A. Vitiello, K.E. Schmidt, and S. Fantoni, Phys. Rev. B 55, 5647 (1997).
22. R. Gaudoin, M. Nekovee, W.M.C. Foulkes, R.J. Needs, and G. Rajagopal, Phys. Rev. B 63, 115115 (2001).
23. P.J. Reynolds, D.M. Ceperley, B.J. Alder, and W.A. Lester, Jr., J. Chem. Phys. 77, 5593 (1982).
24. T. Gaskell, Proc. Phys. Soc. London 77, 1182 (1961).
25. D. Ceperley, Phys. Rev. B 18, 3126 (1978).
26. D.M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
27. G. Ortiz, D.M. Ceperley, and R.M. Martin, Phys. Rev. Lett. 71, 2777 (1993).
28. G. Ortiz and D.M. Ceperley, Phys. Rev. Lett. 75, 4642 (1995).
29. D. Bohm and D. Pines, Phys. Rev. 92, 609 (1953); D. Pines, Elementary Excitations in Solids (Perseus Books, Reading, MA, 1969), and references therein.
30. D. Bohm and D. Pines, Phys. Rev. 92, 609 (1953); D. Pines, Elementary Excitations in Solids (Perseus Books, Reading, MA, 1969), and references therein.
31. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963) ; L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962); A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
32. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963) ; L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962); A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
33. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963) ; L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962); A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
34. M. Gell-Mann and K. Brueckner, Phys. Rev. 106, 364 (1957).
35. In principle, a parametrized backflow function could be used within conventional band theory to avoid having to rediagonalize the Hamiltonian away from the band center. For example, one could solve only for k = 0 and use an analytic BF form to compute the band structure at other values of k.
36. Y. Kwon, D.M. Ceperley, and R.M. Martin, Phys. Rev. B 50, 1684 (1994).
37. C. Lin, F.H. Zong, and D.M. Ceperley, Phys. Rev. E 64, 016702 (2002).
38. D. Ceperley, J. Stat. Phys. 43, 815 (1986).
39. D.M. Ceperley and B.J. Alder, Phys. Rev. Lett. 45, 566 (1980).
40. D.M. Ceperley, in Monte Carlo and Molecular Dynamics of Condensed Matter Systems, edited by K. Binder and G. Ciccotti (Editrice Compositori, Bologna, Italy, 1996).
41. B. Militzer and E.L. Pollock, Phys. Rev. E 61, 3470 (2000).
42. V. Natoli and D. Ceperley, J. Comput. Phys. 117, 171 (1995).