Icosahedral order in metallic glasses and quasi-crystals
These papers describe the statistical mechanics of local clusters with icosahedral
symmetry in supercoooled metals. The structure factor of such metals was computed,
and a simple computation for the location of the peaks in the structure factor was provided. These
predictions have been successfully compared with experiments (T. Schenk et al., Phys. Rev.
Lett. 89, 075507 (2002) and K. F. Kelton et al., Phys. Rev. Lett. 90, 195504 (2003)).
This work was highlighted in the article by Charles Day, Physics Today, 56,
July 2003, page 24, and featured on the cover of this issue.
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Theory of the structure factor of metallic glasses,
S. Sachdev and D.R. Nelson, Physical Review Letters, 53, 1947 (1984).
Incommensurate icosahedral density waves in rapidly cooled
metals, D.R. Nelson and S. Sachdev, Physical Review B 32,
Statistical mechanics of pentagonal and icosahedral order
in dense liquids, S. Sachdev and D.R. Nelson, Physical Review
B 32, 1480 (1985).
Order in metallic glasses and icosahedral crystals,
S. Sachdev and D.R. Nelson, Physical Review B 32, 4592 (1985).
Icosahedral order in undercooled liquids and metallic
glasses, D.R. Nelson and S. Sachdev, Proceedings of the Workshop
on Amorphous Metals and Semiconductors, P. Haasen and R. Jaffe eds
Viscous relaxation in metallic glasses, S. Sachdev,
Physical Review B 33, 6395 (1986).
Frustration and order in rapidly cooled metals,
S. Sachdev, Proceedings of the NATO Advanced Research Workshop on Incommensurate
Icosahedral ordering in supercooled liquids and metallic
glasses, S. Sachdev, Bond Orientational Order in Condensed Matter
Systems, K.J. Strandburg ed., Springer-Verlag, New York (1992).