Nonlinear response theories and effective pair potentials

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 14, 2007, Pages

  Gravel, Simon ^a   Ashcroft, N W ^a  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35148812575     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.144103     Document Type: Article

References (45)

1. M. Cohen, V. Heine, and D. Weaire, Solid State Phys. SSPHAE 0081-1947 24 (1970).
2. J. Hafner, From Hamiltonians to Phase Diagrams (Springer-Verlag, New York, 1987).
3. C. Kittel, Solid State Physics (Academic, New York, 1968), p. 1; see also erratum in Appendix (p. 295).
4. B. Derjaguin and L. Landau, Acta Physicochim. URSS ACPYAR 0365-1460 14, 633 (1941).
5. E. Verwey and J. Overbeek, Theory of the Stability of Lyophobic Colloids (Dover, Mineola, NY, 2000).
6. S. Asakura and F. Oosawa, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1740347 22, 1255 (1954).
7. S. Asakura and F. Oosawa, J. Polym. Sci. JPSCAU 0022-3832 10.1002/pol.1958.1203312618 33, 183 (1958).
8. P. Lloyd and C. Sholl, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/1/6/ 319 1, 1620 (1968).
9. E. Brovman, Y. Kagan, and A. Kholas, Sov. Phys. JETP SPHJAR 0038-5646 34, 394 (1972).
10. A. Milchev and R. Pickenhain, Phys. Status Solidi B PSSBBD 0370-1972 79, 549 (1977);
11. J. Porter, N. W. Ashcroft, and G. V. Chester (unpublished).
12. J. M. Pitarke, R. H. Ritchie, and P. M. Echenique, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.13883 52, 13883 (1995).
13. G. Angilella, F. Siringo, and R. Pucci, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00105-8 32, 323 (2003).
14. A. Lodder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.045111 74, 045111 (2006).
15. S. T. Weir, A. C. Mitchell, and W. J. Nellis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1860 76, 1860 (1996).
16. P. Loubeyre, F. Occelli, and R. LeToullec, Nature (London) NATUAS 0028-0836 10.1038/416613a 416, 613 (2002).
17. A. A. Louis and N. W. Ashcroft, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4456 81, 4456 (1998).
18. K. Nagao, S. A. Bonev, A. Bergara, and N. W. Ashcroft, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.035501 90, 035501 (2003).
19. S. A. Bonev and N. W. Ashcroft, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.224112 64, 224112 (2001).
20. J. Ziman, Electrons and Phonons (Oxford University Press, New York, 2001).
21. D. Pines and P. Nozières, The Theory of Quantum Liquids I (Benjamin, New York, 1966), p. 297.
22. R. Elber, Recent Developments in Theoretical Studies of Proteins (World Scientific, Singapore, 1996), p. 43.
23. Z. D. Popovic, M. J. Stott, J. P. Carbotte, and G. R. Piercy, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.13.590 13, 590 (1976).
24. Y. Yafet, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.3948 36, 3948 (1987).
25. G. F. Giuliani, G. Vignale, and T. Datta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.033411 72, 033411 (2005).
26. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. Stegun, (Dover, New York, 1965).
27. A. A. Louis, Ph.D. thesis, Cornell University, 1998.
28. A. Galindo, I. Nagy, R. Díez Muiño, and P. M. Echenique, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.125113 72, 125113 (2005).
29. J. K. Nørskov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.20. 446 20, 446 (1979).
30. R. Diez Muiño and A. Salin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.2074 60, 2074 (1999).
31. O. B. Christensen, P. D. Ditlevsen, K. W. Jacobsen, P. Stoltze, O. H. Nielsen, and J. K. Nørskov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.1993 40, 1993 (1989).
32. K. W. Jacobsen, J. K. Nørskov, and M. J. Puska, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.7423 35, 7423 (1987).
33. G. Kresse and J. Furthmüller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.11169 54, 11169 (1996).
34. G. Kresse and J. Furthmuller, Comput. Mater. Sci. CMMSEM 0927-0256 10.1016/0927-0256(96)00008-0 6, 15 (1996).
35. G. Kresse and D. Joubert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.1758 59, 1758 (1999).
36. P. E. Blochl, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.17953 50, 17953 (1994).
37. J. Perdew, in Electronic Structure of Solids (Akademie-Verlag, Berlin, 1991), pp. 11-20.
38. M. Methfessel and A. T. Paxton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.3616 40, 3616 (1989).
39. P. Vashishta and K. S. Singwi, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.6.875 6, 875 (1972).
40. P. Hohenberg and W. Kohn, Phys. Rev. PRVBAK 0096-8269 10.1103/PhysRev.136.B864 136, B864 (1964).
41. W. Kohn and L. Sham, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.140. A1133 140, A1133 (1965).
42. N. Mermin, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.137.A1441 137, A1441 (1965).
43. S. Lundqvist and N. March, Theory of the Inhomogeneous Electron Gas (Plenum Press, New York, 1983), p. 124.
44. A. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, England, 1997).
45. J. A. Porter, Ph.D. thesis, Cornell University, 2001.