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Solid molecular phases of Hydrogen via constant-pressure first-principles Molecular Dynamics

Published online by Cambridge University Press:  10 February 2011

Jorge Kohanoff  and
Sandro Scandolo
Jorge Kohanoff
Affiliation:
International Centre for Theoretical Physics, Strada Costiera 11, 1–34014 Trieste, Italy.
Sandro Scandolo
Affiliation:
International Centre for Theoretical Physics, Strada Costiera 11, 1–34014 Trieste, Italy. International School for Advanced Studies (SISSA), via Beirut 4, 1–34014 Trieste, Italy.
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Abstract

By performing constant pressure ab initio molecular dynamics simulations we analyse the high pressure phases of molecular solid hydrogen. We use a gradient corrected LDA, and a freshly implemented efficient technique for Brillouin zone sampling. An extremely good k-point sampling turns out to be crucial for obtaining the correct ground state. Our constant pressure approach allows us to optimize simultaneously the ori-entational degrees of freedom, the lattice constants, and the space group. This can be done either by a local optimization tehcnique, or by running molecular dynamics (MD) trajectories. The MD allows for the system to undergo structural transformations spontaneously. In the lower pressure, namely for the broken symmetry phase (BSP or phase II), we find a quadrupolar orthorhombic structure, of Pca21 symmetry. By means of an MD investigation, we find, at higher pressures, a slightly distorted orthorhombic structure of Cmc21 symmetry. This structure cannot be straightforwardly identified with the H-A phase (or phase III) because: 1) it is metallic, and 2) the Raman vibron discontinuity would be far too large compared to experiment. In fact, we argue that this phase is the first metallic molecular phase of hydrogen. Metallization would happen then, not via a band-overlap mechanism, but due to a structural transformation. By comparing total enthalpies, we also give suggestions for the structure of phase III.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 499: Symposium DD – High Pressure Materials Research , 1997 , 329
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

[1] Wigner, E. and Huntington, H. B., J. Chem. Phys. 3, 764 (1935).Google Scholar
[2] Weir, S. T., Mitchell, A. C., and Nellis, W. J., Phys. Rev. Lett. 76, 1860 (1996).Google Scholar
[3] Mao, H. K. and Hemley, R. J., Rev. Mod. Phys. 66, 671 (1994) and references therein.Google Scholar
[4] Silvera, I. F. in Simple Molecular Systems at very High Pressure, eds. Polian, A., Loubeyre, P. and Boceara, N. (Plenum, NY, 1989).Google Scholar
[5] Goncharov, A. F., Hemley, R. J., Mao, H.-K., and Shu, J. F., Phys. Rev. Lett, (in press).Google Scholar
[6] Cui, L., Chen, N. H. and Silvera, I. F., Phys. Rev. B 51, 14987 (1995).Google Scholar
[7] Kohanoff, J., Scandolo, S., Chiarotti, G. L., and Tosatti, E., Phys. Rev. Lett. 78, 2783 (1997).Google Scholar
[8] Barbee, T. W. III, Garcia, A., Cohen, M. L. and Martins, J. L., Phys. Rev. Lett. 62, 1150 (1989),Google Scholar
Barbee, T. W. III and Cohen, M. L., Phys. Rev. B 44, 11563 (1991).Google Scholar
[9] Surh, M. P., Barbee, T. W. III, and Mailhiot, C., Phys. Rev. Lett 70, 4090 (1993).Google Scholar
[10] Kaxiras, E., Broughton, J. and Hemley, R. J., Phys. Rev. Lett. 67, 1138 (1991);Google Scholar
Kaxiras, E. and Broughton, J., Europhys. Lett. 17, 151 (1992).Google Scholar
[11] Nagara, H. and Nakamura, T., Phys. Rev. Lett. 68, 2468 (1992).Google Scholar
[12] Mazin, I. I. and Cohen, R. E., Phys. Rev. B 52, R8597 (1995).Google Scholar
[13] Edwards, B., Ashcroft, N. W., and Lenosky, T., Europhys. Lett. 34, 519 (1996).Google Scholar
[14] Hohl, D. et al., Phys. Rev. Lett. 71, 541 (1993).Google Scholar
[15] Tse, J. S. and Klug, D. D., Nature 378, 595 (1995).Google Scholar
[16] Focher, P. et al., Europhys. Lett. 36, 345 (1994).Google Scholar
[17] Scandolo, S. and Kohanoff, J. (in preparation).Google Scholar
[18] Becke, A. D., Phys. Rev. A 38, 3098 (1988);Google Scholar
Perdew, J. P. and Wang, Y., Phys. Rev. B 33, 8822 (1986).Google Scholar
[19] Giannozzi, P. (unpublished). See alsoGoogle Scholar
Gygi, F., Phys. Rev B 48, 11692 (1993).Google Scholar
[20] The calculated clamped-nuclei H2 bond length and frequency are 0.752 Å and 4290 cm, respectively. The exact value obtained within the Born-Oppenheimer approximation, i.e. corrected for anharmonic quantum effects, is 4050 cm−1, to be compared with the experimental gas-phase value of 4160 cm−1.Google Scholar
[21] Monkhorst, H. J. and Pack, J. D., Phys. Rev. B 13, 5188 (1976).Google Scholar
[22] Robertson, I. J. and Payne, M. C, J. Phys.: Condens. Matter 2, 9837 (1990).Google Scholar
[23] Harrison, W. A., Solid State Theory (McGraw-Hill, NY, 1970).Google Scholar
[24] Kitaigorodskii, A. I. and Mirskaya, K. V., Sov. Phys.- Cryst. 10, 121 (1965).Google Scholar
[25] Edwards, B. and Ashcroft, N. W., Nature (in press).Google Scholar
[26] Natoli, V., Martin, R. M. and Ceperley, D. M., Phys. Rev. Lett. 70, 1952 (1995).Google Scholar
[27] Biermann, S., Hohl, D., and Marx, D., Proceedings of the ARC Simple Systems at High Pressures and Temperatures: Theory and Experiment, Eds.: Kohanoff, J. and Loubeyre, P., http://www.ictp.trieste.it/~pubjoff/sci-abs/smr999 (ICTP, Trieste, October 1997).Google Scholar
[28] Baroni, S., Giannozzi, P. and Testa, A., Phys. Rev. Lett. 58, 1861 (1987).Google Scholar
[29] Loubeyre, P. et al., Nature 383, 702 (1996).Google Scholar
[30] Turrell, G., Infrared and Raman spectra of crystals (Academic Press, London, 1972).Google Scholar
[31] Nagao, K. and Nagara, H. (submitted to Phys. Rev. Lett.)Google Scholar
[32] Scheerboom, M. I. M. and Schouten, J. A., Phys. Rev. B 53, R14705 (1996).Google Scholar
[33] Ashcroft, N. W., Phys. Rev. B 41, 10963 (1990).Google Scholar
[34] Chen, N. H., Sterer, E., and Silvera, I. F., Phys. Rev. Lett. 76, 1663 (1996);Google Scholar
Hemley, R. J., Mao, H.-K., Goncharov, A. F., Hanfland, M., and Struzhkin, V., Phys. Rev. Lett. 76, 1667 (1996).Google Scholar
[35] Alavi, A., Proceedings of the ARC Simple Systems at High Pressures and Temperatures: Theory and Experiment, Eds.: Kohanoff, J. and Loubeyre, P., http://www.ictp.trieste.it/~pubjoff/sci-abs/smr999 (ICTP, Trieste, October 1997).Google Scholar
[36] Pasternak, M., Farrel, J. N., and Taylor, R. D., Phys. Rev. Lett. 58, 575 (1987).Google Scholar