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Long-wavelength excitations in incommensurate intergrowth compounds with application to Hg3−δAsF6

J. D. Axe

Per Bak

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 and Department of Physics, Brookhaven National Laboratory, Upton, New York 11973

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 and University of Copenhagen, Universitetsparken 5, Copenhagen, Denmark

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Phys. Rev. B 26, 4963 – Published 1 November, 1982

DOI: https://doi.org/10.1103/PhysRevB.26.4963

Abstract

There exists a variety of compounds consisting of two (or more) interpenetrating incommensurate lattices, e.g., Hg3−δAsF6, tetrathiafulvalene iodide (TTF-Ix), Nowotny phases. In such materials one expects new hydrodynamic modes associated with a broken translational symmetry. We examine a continuum model of these excitations which appear as "extra" acoustic modes. We consider the case of Hg3−δAsF6 explicitly and find a set of "generalized" elastic constants which violate conventional rotational symmetry relations in agreement with existing experiments. At high temperatures there are five acoustic modes; at low temperatures there are four in this material. Owing to the liquidlike properties of this material certain modes become purely dissipative in some propagation directions.

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References (18)

  1. P. Bak, Rep. Prog. Phys. 45, 587 (1982)
  2. J. P. Pouget, G. Shirane, J. M. Hastings, A. J. Heeger, and A. G. MacDiarmid, Phys. Rev. B 18, 3645 (1978) J. M. Hastings, J. P. Pouget, G. Shirane, A. J. Heeger, N. D. Miro, and A. G. MacDiarmid, Phys. Rev. Lett. 39, 1484 (1977)
  3. C. K. Johnson and C. R. Watson, J. Chem. Phys. 64, 2271 (1976)
  4. R. DeRidder and S. Amelinckx, Mat. Res. Bull. 6, 1223 (1971)
  5. R. Clarke, in Ordering in Two Dimensions, edited by S. Sinha (North-Holland, New York, 1980), p. 53
  6. A. Janner and T. Janssen, Acta. Crystallogr. Sect. A 36, 408 (1980)
  7. S. Aubry, in Solitons and Condensed Matter Physics, Vol. 8 of Solid State Sciences, edited by A. R. Bishop and T. Schneider (Springer, Berlin, 1978), p. 264
  8. P. Bak, Phys. Rev. Lett. 46, 791 (1981)
  9. G. Theodorou, Solid State Commun. 33, 561 (1980)
  10. I. U. Heilmann, J. D. Axe, J. M. Hastings, G. Shirane, A. J. Heeger, and A. G. MacDiarmid, Phys. Rev. B 20, 751 (1979)
  11. I. U. Heilmann, J. M. Hastings, G. Shirane, A. J. Heeger, and A. G. MacDiarmid, Solid State Commun. 29, 469 (1979)
  12. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1970)
  13. P. C. Martin, O. Parodi, and P. S. Pershan, Phys. Rev. A 6, 2401 (1972)

  14. Omitted endnote

  15. H. Endres, R. Harms, H. J. Keller, W. Moroni, D. Nothe, M. H. Vartanian, and Z. G. Soos, J. Phys. Chem. Solids 40, 591 (1979)
  16. V. J. Emery and J. D. Axe, Phys. Rev. Lett. 40, 1507 (1978)
  17. ()
  18. P. Bak, Phys. Rev. B 20, 2209 (1979)

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Phys. Rev. B 26, 4963– Published 1 November, 1982
  • Received 27 May 1982

© 1982 American Physical Society

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