Dense Hydrogen and its States of Order

  • N. W. Ashcroft
Part of the NATO ASI Series book series (NSSB, volume 286)


The system with which we are concerned, a dense neutral canonical assembly of protons (masses mp, spin 1/2, coordinates \( {\vec r_{1p}},....,{\vec r_{np}} \)) and electrons (masses me, spin 1/2, coordinates \( {{\vec r}_{1e}},....,{{\vec r}_{Ne}} \)), has a remarkably simple and symmetric Hamiltonian.


Rotational State Bravais Lattice Dense Hydrogen Crystal Field Splitting Ortho Hydrogen 
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  1. 1.
    K. Moulopoulos and N. W. Ashcroft, Phys. Rev. Lett. 66, 2915 (1991).CrossRefGoogle Scholar
  2. 2.
    N. W. Ashcroft, “Molecular systems under high pressure,” R. Pucci and G. Piccitto, eds., Elsevier Science Publishers, BV-North Holland, 1991) 201.Google Scholar
  3. 3.
    N. F. Mott, Proc. Phys. Soc. A 62, 416 (1949).CrossRefGoogle Scholar
  4. 4.
    J. C. Slater and J. G. Kirkwood, Phys. Rev. 37, 682 (1937).CrossRefGoogle Scholar
  5. N. W. Ashcroft, Phil. Trans. Soc. Lond. A 334, 407 (1991).CrossRefGoogle Scholar
  6. 5.
    N. W. Ashcroft and N. D. Mermin, “Solid State Physics,” (Holt Saunders, 1976).Google Scholar
  7. 6.
    N. F. Mott, “Metal-insulator transitions,” 2nd ed., Taylor and Francis, Ltd. (1990).Google Scholar
  8. 7.
    See, for example; D. E. Ramaker, L. Kumar, and F. E. Harris, Phys. Rev. Lett. 34, 812 (1975).CrossRefGoogle Scholar
  9. C. Friedli and N. W. Ashcroft, Phys. Rev. B 16, 662 (1977).CrossRefGoogle Scholar
  10. B. I. Min, H. J. F. Jansen, and A. J. Freeman, Phys. Rev. B 30, 5076 (1984).CrossRefGoogle Scholar
  11. H. Chacham and S. G. Louie, Phys. Rev. Lett. 66, 64 (1991).CrossRefGoogle Scholar
  12. E. Kaxiras, J. Broughton, and R. J. Hemley, Phys. Rev. Lett. 67, xxx (1991).CrossRefGoogle Scholar
  13. 8.
    N. W. Ashcroft, Phys. Rev. B.Google Scholar
  14. 9.
    I. Silvera, these proceedings.Google Scholar
  15. 10.
    A. Horsfield, K. Moulopoulos, and N. W. Ashcroft (to be published).Google Scholar
  16. 11.
    For a general discussion of rotational states in hydrogen see I. Silvera, Rev. Mod. Phys. 52., 393 (1980).CrossRefGoogle Scholar
  17. 12.
    H. K. Mao, A. P. Jephcoat, R. J. Hemley, L. W. Finger, C. S. Zha, R. M. Hazen, and D. E. Cox, Science 239, 1131 (1988).CrossRefGoogle Scholar
  18. 13.
    V. P. Glazkov, S. P. Besedin, I. N. Goncharenko, A. V. Irodova, I. N. Makarenko, V. A. Somenkov, S. M. Stishov, and S. Sh. Shil’stein, Pisma. Zh. Eksp. Teor. Fiz. 47, 661 (1988).Google Scholar
  19. 14.
    A. J. Bradley, Z. Kristallog. 11, 302 (1935).Google Scholar
  20. 15.
    P. W. Anderson, Phys. Rev. 109, 1492 (1958).CrossRefGoogle Scholar
  21. 16.
    M. Schreiber, J. Non-Cryst. Solids 97/98. 221 (1987).CrossRefGoogle Scholar
  22. P. Edwards and D. Thouless, J. Phys. C5, 807 (1972).Google Scholar
  23. 17.
    I. Silvera, private communication.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • N. W. Ashcroft
    • 1
  1. 1.Laboratory of Atomic and Solid State PhysicsCornell UniversityIthacaUSA

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