Skip to main content
SpringerLink
Log in

Incommensurability in Two Classes of Solids: Modulated Insulators and Quasicrystalline Alloys

  • Chapter
Physical Properties and Thermodynamic Behaviour of Minerals

Part of the book series: NATO ASI Series ((ASIC,volume 225))

  • 382 Accesses

Abstract

The aim of this paper is i) to present an oversimplified view of the present state of the studies of incommensurate insulator systems and ii) to introduce quasicrystals which appear in a certain manner as a special case of incommensurate solids.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.M. de Wolff, (1977), Acta Cryst. A 33, 493

    Google Scholar 

  2. A. Janner and T. Janssen, (1977), Phys. Rev. B 15, 643

    Google Scholar 

  3. A. Janner and T. Janssen, (1979), Physica A, 99, 47

    Article  Google Scholar 

  4. P.M. de Wolff, T. Janssen and A. Janner, (1981), Acta Cryst. A 37, 625

    Google Scholar 

  5. M. Iizumi, J.D. Axe, G. Shirane and K. Shimaoka, (1977), Phys. Rev. B 15, 4392

    Google Scholar 

  6. J.D. Axe, M. Iizumi and G. Shirane, (1986), Incommensurate Phases in Dielectrics 2, Edited by R. Blinc and A.P. Levanyuk North Holland, Chapter 10

    Google Scholar 

  7. D.E. Moncton, J.D. Axe and F.J. Disalvo, (1975), Phys. Rev. Lett. 34, 734

    Article  Google Scholar 

  8. H. Cailleau, (1986) Incommensurate Phases in Dielectrics 2, Edited by R. Blinc and A.P. Levanuk, North Holland, chapter 12, and references therein.

    Google Scholar 

  9. L. Bernard, R. Currat, P. Delamoye, C.M.E. Zeyen, S. Hubert and R. de Kouchkovsky, (1983), J. Phys. C 16, 433

    Google Scholar 

  10. A.W. Overhauser, (1971), Phys. Rev. B 3, 3173

    Google Scholar 

  11. J.D. Axe, Proc. of Gatlinburg Neutron Scattering Conference, CONF-760601-P 1 (U.S. Dept. of Comm.) p 353, (1976)

    Google Scholar 

  12. A.D. Bruce and R. Cowley, (1978), J. Phys. C 11, 3609

    Google Scholar 

  13. V.A. Golovko and A.P. Levanuyk, (1981), Ferroelectrics 36, 306

    Article  Google Scholar 

  14. V.A. Golovko and A.P. Levanyuk, (1982), Sov. Phys. JETP 54, 1217

    Google Scholar 

  15. R. Zeyher and W. Finger (1982), Phys. Rev. Lett. 49, 1833

    Article  Google Scholar 

  16. H. Cailleau, F. Moussa, C.M.E. Zeyen and J. Bouillot (1980), Solid State Comm. 33, 407

    Article  Google Scholar 

  17. R. Currat, L. Bernard and P. Delamoye, (1986), Incommensurate Phases in Dielectrics 2, Edited by R. Blinc and A.P. Levanyuk, North Holland, chapter 15

    Google Scholar 

  18. M. Quilichini and R. Currat, (1983), Solid State Comm. 48, 1011

    Article  Google Scholar 

  19. J.F. Scott, (1986), Incommensurate Phases in Dielectrics 2, Edited by R. Blinc and A.P. Levanyuk, North Holland, Chapter 19

    Google Scholar 

  20. F. Dénoyer, A.H. Moudden, R. Currat, C. Vettier and M. Lambert, (1982), Phys. Rev. B 25, 1697

    Google Scholar 

  21. F. Dénoyer and R. Currat, Incommensurate Phases in Dielectrics 2, Edited by R. Blinc and A.P. Levanyuk, North Holland, Chapter 14

    Google Scholar 

  22. D. Durand, F. Dénoyer, R. Currat and C. Vettier, (1984), Phys. Rev. B 30, 1112

    Google Scholar 

  23. M. Barreto, J.P. Jamet and P. Lederer, (1983), Phys. Rev. B 28, 3994

    Google Scholar 

  24. G. Marion, R. Almairac, J. Lefebvre and M. Ribet, (1981), J. Phys. C 14, 3177

    Google Scholar 

  25. M. Iizumi and K. Gesi, (1983), Physica B 120, 291

    Article  Google Scholar 

  26. G. Marion, R. Almairac, M. Ribet, V. Steigenberger and C. Vettier (1984), J. Physique 45, 929

    Google Scholar 

  27. D. Durand, F. Dénoyer, M. More, to be published

    Google Scholar 

  28. M. Iizumi and K. Gesi, (1983), J. Phys. Soc. Jpn 52, 2526

    Article  Google Scholar 

  29. S. Aubry: Solitons and Condensed-Matter Physics, eds. A.R. Bishop and T. Schneider (Springer, New York)

    Google Scholar 

  30. G. André, D. Durand, F. Dénoyer, R. Currat, F. Moussa, (1987), Phys. Rev. B-3–5, 2909

    Google Scholar 

  31. K. Hamano, (1986), Incommensurate Phases in Dielectrics 1. Fundamentals, Edited by R. Blinc and A.P. Levanyuk, North Holland, chapter 9.

    Google Scholar 

  32. D.E. Cox, S.M. Shapiro, R.J. Nelmes, T.W. Ryan, H. Bleif, M. Eibschutz and H.J. Guggenheim (1983), Phys. Rev. B 28, 1640

    Article  Google Scholar 

  33. H. Mashiyama, S. Tanisaki and K. Hamano (1981), J. Phys. Soc. Jpn. 50, 2139

    Article  Google Scholar 

  34. A.P. Levanyuk, (1986), Incommensurate Phases in Dielectrics 1. Edited by R. Blinc and A.P. Levanyuk, North Holland

    Google Scholar 

  35. R.A. Cowley and A.D. Bruce, (1978) J. Phys. C 11, 3577

    Google Scholar 

  36. A.D. Bruce and R.A. Cowley, (1978), J. Phys, C 11, 3609

    Google Scholar 

  37. A.D. Bruce, R.A. Cowley and A.F. Murray, (1978), J. Phys. C 11 3591

    Google Scholar 

  38. V.L. Pokrovsky, (1981), J de Physique 42, 761

    Article  Google Scholar 

  39. V.L. Pokrovsky and A.L. Talapov, (1980), Solid State Comm, 33 749

    Article  Google Scholar 

  40. P. Bak and R.Bruinsna, (1982), Phys. Rev, Lett. 49, 249

    Article  Google Scholar 

  41. W. Selke, (1984), Modulated structures in a simple Ising Model Proc. ASI on Modulated Structure Materials ed. Tsakalokos

    Google Scholar 

  42. T. Janssen and J. Tjon, (1983), J. Physics A 16, 673

    Google Scholar 

  43. T. Janssen, (1986), Incommensurate Phases in Dielectrics 1. Fundamentals, chapter 3, Edited by R. Blinc and A.P. Levanyuk, North Holland

    Google Scholar 

  44. P. Bak, (1982) Rep. Prog. Phys. 45, 587

    Article  Google Scholar 

  45. Y. Imry and S.K. Ma, (1974), Phys. Rev. Lett. 35, 1399

    Article  Google Scholar 

  46. L.J. Sham and B.R.. Patton, (1976), Phys. Rev. B13, 3151

    Google Scholar 

  47. H. Fukuyama and P.A. Lee, (1978), Phys. Rev. B17 535

    Google Scholar 

  48. N. Teranishi and R. Kubo, (1979), J. Phys. Soc. Jpn 47, 720

    Article  Google Scholar 

  49. K. Nakanishi, (1979), J. Phys. Soc. Jpn 46, 1434

    Article  Google Scholar 

  50. T.M. Rice, S. Whitehouse and P. Littlewood, (1981), Phys. Rev. B 24, 2751

    Google Scholar 

  51. P.B. Littlewood and T.M. Rice, (1982), Phys. Rev. Lett. 48, 44

    Article  Google Scholar 

  52. T. Natterman, (1983), J. Phys. C 16, 4113

    Google Scholar 

  53. J. Villain, (1982), J. Physique Lettres 43, L 551

    Google Scholar 

  54. A.H. Moudden, D.E. Moncton and J.D. Axe (1983), Phys. Rev. Lett. 51, 2390

    Article  Google Scholar 

  55. H. Mashiyama, S. Tanisaki and K. Hamano, (1982), J. Phys. Soc. Jpn 51, 2538

    Article  Google Scholar 

  56. G. André, D. Durand, F. Dénoyer, R. Currat and F. Moussa, (1987) Phys. Rev. B 35, 2909

    Google Scholar 

  57. E. Fjaer, R.A. Cowley and T.W. Ryan, (1985) J. Phys. C 18, L 41

    Google Scholar 

  58. M. Bziouet, R. Almairac, P. Saint-Grégoire, to be published in J. Phys. C

    Google Scholar 

  59. J.P. Jamet and P. Lederer, (1983), J. Physique Lettres 44, L 257

    Google Scholar 

  60. P. Lederer, G. Montambaux, J.P. Jamet, M. Chauvin, (1984), J. Physique Lettres 45, L 627

    Google Scholar 

  61. P. Lederer, J.P. Jamet, G. Montambaux, (1986), Ferroel. 66, 25

    Article  Google Scholar 

  62. G. Errandonea, J.C. Toledano, A. Litzler, H. Savary, J. Schneck, J. Aubree, (1984), J. Physique Lettres 45, L 329

    Google Scholar 

  63. G. Dolino, Japanese J. of Applied Physics, (1985), 24, Suppl.24–2, 153

    Google Scholar 

  64. D. Schechtman, I. Blech, D. Gratias and J.W. Cahn, (1984), Phys. Rev. Lett. 53, 195

    Google Scholar 

  65. T. Janssen, (1986), J. de Physique, 47, C3–85

    Google Scholar 

  66. P. Sainfort, B. Dubost, A. Dubus, G.R.A.S. Paris, (1985) 301, série II, 689

    Google Scholar 

  67. B. Dubost, J.M. Lang, M. Tanaka, P. Sainfort and M. Audier, (1986), Nature, 324, 48

    Article  Google Scholar 

  68. P. Sainfort and B. Dubost, (1986), J. de Physique, 47, C3–321

    Google Scholar 

  69. J.M. Lang, M. Audier, B. Dubost and P. Sainfort, Journal of crystal growth, in press

    Google Scholar 

  70. F. Dénoyer, G. Heger, M. Lambert and J.M. Lang G.R.A.S. Paris, (1987), 304, Série II, 625

    Google Scholar 

  71. F. Dénoyer, G. Heger, M. Lambert, J.M. Lang and P. Sainfort, J. de Physique (1987), 48 (in press)

    Google Scholar 

  72. J.W. Cahn, D. Schechtman and D. Gratias, (1986), J. of Material research, 1, 13

    Article  Google Scholar 

  73. A. Katz and M. Duneau, (1986), J. de Physique, 47, C3–103

    Article  Google Scholar 

  74. R. Penrose, (1979), Math. Intelligencer, 2, 32

    Article  Google Scholar 

  75. A.L. Mackay, (1982), Physica A, 114, 609

    Article  Google Scholar 

  76. M. Kleman and A. Pavlovitch, (1986), J. de Physique 47, C3–229

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Physique des Solides, Université Paris-Sud, Bâtiment 510, 91405, Orsày, France

    F. Dénoyer

Authors
  1. F. Dénoyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Earth Sciences, University of Cambridge, UK

    Ekhard K. H. Salje

Rights and permissions

Reprints and permissions

Copyright information

© 1988 D. Reidel Publishing Company

About this chapter

Cite this chapter

Dénoyer, F. (1988). Incommensurability in Two Classes of Solids: Modulated Insulators and Quasicrystalline Alloys. In: Salje, E.K.H. (eds) Physical Properties and Thermodynamic Behaviour of Minerals. NATO ASI Series, vol 225. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2891-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-2891-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7802-3

  • Online ISBN: 978-94-009-2891-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation