Advertisement

Il Nuovo Cimento D

, Volume 15, Issue 1, pp 59–72 | Cite as

Broken relativistic symmetry groups, toroidal moments and superconductivity in magnetoelectric crystals

  • J. L. Rubin
Article

Summary

A connection between the creation of toroidal moments and the breaking of the relativistic crystalline group associated to a given crystal is presented in this paper. Indeed, if magnetoelectric effects exist, the interaction between electrons and elementary magnetic cells appears in such a way that the resulting local polarization and magnetization break the local relativistic crystalline symmetry. Therefore, a Goldstone boson responsible for the production of toroidal moments is created and, consequently toroidal phases arise in the crystal. The list of the Shubnikov groups compatible with this kind of phases is given and possible consequences in superconductor theory in magnetoelectric crystals are examined.

PACS 61.50.Em

Crystal symmetry models and space groups and crystalline systems and classes 

PACS 74.30

Superconductivity. General properties 

PACS 75.20

Diamagnetism and paramagnetism 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    A. Janner andE. Asher:Phys. Lett. A,30 (4), 223 (1969).CrossRefADSGoogle Scholar
  2. [2]
    E. Asher:J. Phys. Soc. Jpn.,28, Suppl., 7 (1970).Google Scholar
  3. [3]
    A. Janner andE. Asher:Physica,48, 425 (1978).CrossRefGoogle Scholar
  4. [4]
    E. Asher:Phys. Status Solidi B,48, 677 (1974).ADSGoogle Scholar
  5. [5]
    W. Opechowski:Proceedings of the Symposium on Magnetoelectric Interaction Phenomena in Crystals, Battelle Seattle Research Center, Seattle, Washington, USA, May 21–24 (1973), p. 47.Google Scholar
  6. [6]
    H. Schmid:Proceedings of the Symposium on Magnetoelectric Interaction Phenomena in Crystals, Battelle Seattle Research Center, Seattle, Washington, USA, May 21–24 (1973), p. 121.Google Scholar
  7. [7]
    E. Asher:Proceedings of the Symposium on Magnetoelectric Interaction Phenomena in Crystals, Battelle Seattle Research Center, Seattle, Washington, USA, May 21–24 (1973), p. 69.Google Scholar
  8. [8]
    V. L. Ginsburg:Solid State Commun.,39, 991 (1981).CrossRefGoogle Scholar
  9. [9]
    V. L. Ginsburg, A. A. Gorbatsevitch, Yu. V. Kopaev andB. A. Volkov:Solid State Commun.,50 (4), 339 (1984).CrossRefGoogle Scholar
  10. [10]
    Yu. V. Kopaev andV. V. Tugushev:JETP Lett.,41 (8), 392 (1985).ADSGoogle Scholar
  11. [11]
    A. A. Gorbatsevitch:JETP Lett.,42 (10), 493 (1985).ADSGoogle Scholar
  12. [12]
    D. G. Sannikov andI. S. Zheludev:Sov. Phys. Solid State,27 (5), 826 (1985).Google Scholar
  13. [13]
    V. A. Dubovik andA. A. Cheshkov:Sov. J. Part. Nucl.,5 (3), 318 (1975).Google Scholar
  14. [14]
    V. A. Dubovik andV. V. Tugushev:Phys. Rep.,187 (4), 145 (1990).CrossRefADSGoogle Scholar
  15. [15]
    L. H. Thomas:Nature,117, 514 (1926) andPhilos. Mag.,3, 1 (1927).Google Scholar
  16. [16]
    H. Bacry:Leçons sur la théorie des groupes et les symétries des particules élémentaires (Gordon and Breach, Paris, 1967).Google Scholar
  17. [17]
    A. A. Gorbatsevich andYu. V. Kopaev:JETP Lett.,39 (12), 684 (1984).ADSGoogle Scholar
  18. [18]
    I. F. Dzyaloshinskii:Sov. Phys. JETP,27, 5, 1259 (1957).Google Scholar
  19. [19]
    H. J. Lipkin andM. Peshkin:Fundamental Aspects of Quantum Theory, edited byV. Gorini andA. Frigerio NATO ASI Series, Series B, Vol. 144 (Plenum Press, New York, NY, 1986), p. 295–300.Google Scholar
  20. [20]
    M. Peshkin:Fundamental Aspects of Quantum Theory, edited byV. Gorini andA. Frigerio,NATO ASI Series, Series B, Vol. 144 (Plenum Press, New York, NY, 1986), p. 329.Google Scholar
  21. [21]
    F. Wilczek:Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).Google Scholar
  22. [22]
    R. B. Laughlin:Science,242, 525 (1988).ADSGoogle Scholar
  23. [23]
    B. I. Halperin, J. March-Russel andF. Wilczek:Phys. Rev. B,40, 8726 (1989)CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1993

Authors and Affiliations

  • J. L. Rubin
    • 1
  1. 1.Département de Chimie Analytique, Minérale et AppliquéeUniversité de GenèveGenève 4Switzerland

Personalised recommendations