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Angular Dependence of Magnetic Quantum Oscillations and of Magnetoresistance in Quasi-2D Metals

  • P. D. GrigorievEmail author
  • P. A. Gusihin
  • O. S. Rogova
Original Paper
  • 78 Downloads

Abstract

We study analytically the angular dependence of magnetoresistance and of magnetic quantum oscillation frequencies in layered quasi-two-dimensional (Q2D) metals. The angular dependences of magnetoresistance and of Fermi-surface cross-sectional area are closely related. The harmonic expansion analytical formulas for the angular dependence of Fermi-surface cross-sectional area in an external magnetic field are obtained for various typical crystal symmetries. The simple azimuth-angle dependence of the Yamaji angles is derived for the elliptical in-plane Fermi surface. These formulas correct some previous results and allow the simple and effective interpretation of the magnetic quantum oscillations and magnetoresistance data in cuprate high-temperature superconducting materials, in organic metals and in other Q2D metals. The applicability region of some previous widely used analytical results and of the results obtained is investigated.

Keywords

Fermi surface Magnetoresistance Quasi-2D Layered metals AMRO 

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References

  1. 1.
    Fischer, O., et al.: Rev. Mod. Phys. 79, 353 (2007) CrossRefADSGoogle Scholar
  2. 2.
    Saxena, A.K.: High-Temperature Superconductors. Springer, Berlin (2009) Google Scholar
  3. 3.
    Ishiguro, T., Yamaji, K., Saito, G.: Organic Superconductors, 2nd edn. Springer, Berlin (1998) CrossRefGoogle Scholar
  4. 4.
    Lebed, A.G. (ed.): The Physics of Organic Superconductors and Conductors. Springer, Berlin (2009) Google Scholar
  5. 5.
    Mitin, V., Kochelap, V., Stroscio, M.A.: Quantum Heterostructures: Microelectronics and Optoelectronics. Cambridge University Press, Cambridge (1999) Google Scholar
  6. 6.
    Dresselhaus, M.S., Dresselhaus, G.: Adv. Phys. 51, 1460 (2002) CrossRefGoogle Scholar
  7. 7.
    Shoenberg, D.: Magnetic Oscillations in Metals. Cambridge University Press, Cambridge (1984) CrossRefGoogle Scholar
  8. 8.
    Kartsovnik, M.V.: Chem. Rev. 104, 5737 (2004) CrossRefGoogle Scholar
  9. 9.
    Vignolle, B., et al.: Nature 455, 952 (2008) CrossRefADSGoogle Scholar
  10. 10.
    Doiron-Leyraud, N., Proust, C., et al.: Nature 447, 565 (2007) CrossRefADSGoogle Scholar
  11. 11.
    Pereg-Barnea, T., Weber, H., Refael, G., Franz, M.: Nat. Phys. 6, 44 (2009); CrossRefGoogle Scholar
  12. 12.
    Coldea, A.I., Fletcher, J.D., Carrington, A., et al.: Phys. Rev. Lett. 101, 216402 (2008) CrossRefADSGoogle Scholar
  13. 13.
    Helm, T., Kartsovnik, M.V., Bartkowiak, M., et al.: Phys. Rev. Lett. 103, 157002 (2009) CrossRefADSGoogle Scholar
  14. 14.
    Bergemann, C., et al.: Phys. Rev. Lett. 84, 2662 (2000) CrossRefADSGoogle Scholar
  15. 15.
    Carrington, A., Yelland, E.A., Fletcher, J.D., Cooper, J.R.: Physica C 456, 92 (2007) CrossRefADSGoogle Scholar
  16. 16.
    Wosnitza, J.: Fermi Surfaces of Low-Dimensional Organic Metals and Superconductors. Springer, Berlin (1996) Google Scholar
  17. 17.
    Kartsovnik, M.V., Laukhin, V.N.: J. Phys. I Fr. 6, 1753 (1996) CrossRefGoogle Scholar
  18. 18.
    Singleton, J.: Rep. Prog. Phys. 63, 1111 (2000) CrossRefADSGoogle Scholar
  19. 19.
    Hussey, N.E., Abdel-Jawad, M., Carrington, A., Mackenzie, A.P., Balicas, L.: Nature 425, 814 (2003) CrossRefADSGoogle Scholar
  20. 20.
    Abdel-Jawad, M., Analytis, J.G., Balicas, L., et al.: Phys. Rev. Lett. 99, 107002 (2007) CrossRefADSGoogle Scholar
  21. 21.
    Kennett, M.P., McKenzie, R.H.: Phys. Rev. B 76, 054515 (2007) CrossRefADSGoogle Scholar
  22. 22.
    Kartsovnik, M.V., Grigoriev, P.D., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. Lett. 89, 126802 (2002) CrossRefADSGoogle Scholar
  23. 23.
    Grigoriev, P.D.: Phys. Rev. B 67, 144401 (2003) CrossRefADSGoogle Scholar
  24. 24.
    Grigoriev, P.D., Kartsovnik, M.V., Biberacher, W., Kushch, N.D., Wyder, P.: Phys. Rev. B 65, 60403(R) (2002) CrossRefADSGoogle Scholar
  25. 25.
    Yamaji, K.: J. Phys. Soc. Jpn. 58, 1520 (1989) CrossRefADSGoogle Scholar
  26. 26.
    Kurihara, Y.: J. Phys. Soc. Jpn. 61, 975 (1992) CrossRefADSGoogle Scholar
  27. 27.
    Kartsovnik, M.V., Laukhin, V.N., Pesotskii, S.I., Schegolev, I.F., Yakovenko, V.M.: J. Phys. I 2, 89 (1992) CrossRefGoogle Scholar
  28. 28.
    Grigoriev, P.D.: Phys. Rev. B 81, 205122 (2010) CrossRefADSMathSciNetGoogle Scholar
  29. 29.
    Nam, M.S., Blundell, S.J., Ardavan, A., Symington, J.A., Singleton, J.: J. Phys., Condens. Matter 13, 2271 (2001) CrossRefADSGoogle Scholar
  30. 30.
    House, A.A., Harrison, N., Blundell, S.J., et al.: Phys. Rev. B 53, 9127 (1996) CrossRefADSGoogle Scholar
  31. 31.
    Ziman, J.M.: Principles of the Theory of Solids. Cambridge University Press, Cambridge (1972) Google Scholar
  32. 32.
    Bergemann, C., Mackenzie, A.P., Julian, S.R., Forsythe, D., Ohmichi, E.: Adv. Phys. 52, 639 (2003) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • P. D. Grigoriev
    • 1
    • 4
    Email author
  • P. A. Gusihin
    • 2
  • O. S. Rogova
    • 3
  1. 1.L.D. Landau Institute for Theoretical Physics RASChernogolovkaRussia
  2. 2.Institute for Solid State Physics RASChernogolovkaRussia
  3. 3.Moscow State Engineering Physics InstituteMoscowRussia
  4. 4.Max Planck Institute for the Physics of Complex SystemsDresdenGermany

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