Skip to main content
SpringerLink
Log in

AB-INITIO QUANTUM DIFFUSION IN QUASICRYSTALS

  • Conference paper
Recent Advances in the Theory of Chemical and Physical Systems

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 15))

  • 795 Accesses

Abstract

We compute the velocity correlation function of electronic states close to the Fermi energy, in approximants of quasicrystals. As we show the long time value of this correlation function is small. This means a small Fermi velocity, in agreement with previous band structure studies. Furthermore the correlation function is negative on a large time interval which means a phenomenon of backscattering. As shown in previous studies the backscattering can explain unusual conduction properties, observed in these alloys, such as for example the increase of conductivity with disorder.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. D. Shechtman, I. Blech, D. Gratias and J. W. Cahn, Phys. Rev. Lett. 51, 1951 (1984).

    Article  Google Scholar 

  2. H. Bohr and H. Cohn, Almost Periodic Functions (Chelsea, New York, 1947).

    Google Scholar 

  3. Quasicrystals, The State of the Art, edited by D. P. DiVicenzo and P. J. Steinhardt (World Scientific, Singapore, 1991), Vol. 11.

    Google Scholar 

  4. L. Pauling, Phys. Rev. Lett. 58, 365 (1987).

    Article  CAS  Google Scholar 

  5. A. P. Tsai, A. Inoue and T. Masumoto, Jpn. J. Appl. Phys. 26, L1505 (1987); A. P. Tsai, A. Inoue and T. Masumoto, Mat. Trans. JIM 31, 98 (1990).

    Article  CAS  Google Scholar 

  6. Proceedings of the 5th International Conference on Quasicrystals, edited by C. Janot and R. Mosseri (World Scientific, Singapore, 1995).

    Google Scholar 

  7. C. Berger, Lectures on Quasicrystals, edited by F. Hippert and D. Gratias (Les Ulis:Les Editions de Physique, 1994), p. 463–504.

    Google Scholar 

  8. D. Mayou, C. Berger, F. Cyrot–Lackmann, T. Klein and P. Lanco, Phys. Rev. Lett. 70, 3915 (1993).

    Article  CAS  Google Scholar 

  9. C. Berger, C. Gignoux, O Tjernberg, P. Lindqvist, F. Cyrot-Lackmann and Y. Calvayrac, Physica B 204, 44 (1995).

    Article  CAS  Google Scholar 

  10. C. Janot, J. Phys. Condens. Mat., 9, 1493 (1997).

    Article  CAS  Google Scholar 

  11. S.J. Poon, Adv. Phys., 41, 303 (1992); S.E. Burkov, T. Timusk and N.W. Ashcroft, J. Phys.: Condens. Matter 4, 9447 (1992).

    Article  CAS  Google Scholar 

  12. T. Fujiwara, S. Yamamoto and G. Trambly de Laissardi ére, Phys. Rev. Lett. 71, 4166 (1993).

    Article  CAS  Google Scholar 

  13. D. Mayou, Phys. Rev. Lett. 85, 1290 (2000).

    Article  CAS  Google Scholar 

  14. F. Triozon and D. Mayou, J. Non. Cryst. Solids 334– 335, 376 (2004).

    Article  Google Scholar 

  15. P. Hohenberg and W. Kohn, Phys. Rev. 136, 864, (1964).

    Article  Google Scholar 

  16. W. Kohn and L. J. Sham, Phys. Rev. 140, 1133 (1965).

    Article  Google Scholar 

  17. O.K. Andersen, Phys. Rev. B 12, 3060 (1975); L.H. Skriver, The LMTO Method (Springer, New-York, 1984).

    Google Scholar 

  18. O. K. Andersen, O. Jepsen and D. Gloetzel, Highlights of Condensed Matter Theory - Varenna notes - Proceedings of The International School of Physics Enrico Fermi,(North Holland, New York, 1985).

    Google Scholar 

  19. V. Elser, C. Henley, Phys. Rev. Lett. 55,2883 (1985).

    Article  CAS  Google Scholar 

  20. T. Fujiwara, Phys. Rev. B 40, 942 (1989).

    Article  CAS  Google Scholar 

  21. G. Trambly de Laissardi ére, D. Mayou and D. Nguyen Manh, Europhys. Lett. 21, 25–30 (1993); G. Trambly de Laissardi ére, D. Nguyen Manh, L. Magaud, J.-P. Julien, F. Cyrot-Lackmann and D. Mayou Phys. Rev. B, 52, 7920–7933 (1995).

    Google Scholar 

  22. G. Trambly de Laissardi ére, D. Nguyen Manh and D. Mayou, Prog. Mater. Sci. 50, 679 (2005).

    Article  Google Scholar 

  23. G. Trambly de Laissardi ére, D. Nguyen Manh and D. Mayou, J. Non-Cryst. Solids 334–335, 347 (2004).

    Article  Google Scholar 

  24. E.S. Zijlstra and S.K. Bose, Phys. Rev. B 67,224204 (2003).

    Article  Google Scholar 

  25. W.P. Pearson, Handbook of Lattice Spacing and Structure of Metals (Pergamon, New York, 1967), Vol. 2.

    Google Scholar 

  26. K. Sugiyama, N. Kaji and K. Hiraga, Acta Cryst. C 54, 445 (1998).

    Article  Google Scholar 

  27. G. Trambly de Laissardi ére, J.-P. Julien and D. Mayou, Proceedings of the 9th Internatsional Conference on Quasicrystals (Ames, May, 2005), to be published in Phil. Mag.

    Google Scholar 

  28. G. Trambly de Laissardi ére, J.-P. Julien and D. Mayou, submitted to Phys. Rev. Lett. (2005).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire d’Etudes des Propriétés Electroniques des Solides, CNRS, Grenoble Cedex 9, 166, 38042, France

    J.-P. JULIEN

  2. Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise and CNRS, Cergy-Pontoise, 95302, France

    G. TRAMBLY DE LAISSARDIERE

  3. Laboratoire d’Etudes des Propriétés Electroniques des Solides, CNRS, Grenoble Cedex 9, 166, 38042, France

    D. MAYOU

Authors
  1. J.-P. JULIEN
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. TRAMBLY DE LAISSARDIERE
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. MAYOU
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Laboratoire d&Etudes des Propriétés Electroniques des Solides, CNRS and UJF, Grenoble, France

    JEAN-PIERRE JULIEN

  2. Laboratoire de Chimie Physique, CNRS and UPMC, Paris, France

    JEAN MARUANI

  3. Laboratoire d&Etudes des Propriétés Electroniques des Solides, CNRS and UJF, Grenoble, France

    DIDIER MAYOU

  4. Rutherford Appleton Laboratory, Oxfordshire, U.K.

    STEPHEN WILSON

  5. Instituto de Matemáticas y Física Fundamental, CSIC, Madrid, Spain

    GERARDO DELGADO-BARRIO

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

JULIEN, JP., DE LAISSARDIERE, G.T., MAYOU, D. (2006). AB-INITIO QUANTUM DIFFUSION IN QUASICRYSTALS. In: JULIEN, JP., MARUANI, J., MAYOU, D., WILSON, S., DELGADO-BARRIO, G. (eds) Recent Advances in the Theory of Chemical and Physical Systems. Progress in Theoretical Chemistry and Physics, vol 15. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4528-X_24

Download citation

Publish with us

Policies and ethics

Search

Navigation