Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Fermi surface changes and electron scattering anisotropy in alkali metal alloys II. The rubidium-cesium system

  • 21 Accesses

Abstract

The de Haas-van Alphen effect has been used to study the changes in Fermi surface (FS) dimensions and the electron scattering in dilute Rb(Cs) and Cs(Rb) alloys. The initial FS cross-section changes indicate that at each end of the system the actual lattice constant changes lie slightly below a linear interpolation between the host lattice constants. The changes in FS anisotropy are relatively large (up to −10−3 / at % in FS radius for Cs(Rb)): a phase-shift fit with a combination ofs andp terms gives a good representation of the changes in Rb(Cs), but that for Cs(Rb) is relatively poor. The electron scattering has less forward-scattering component than in the K-Rb system, the ratio xρ/x0 between the resistivity temperature and the average Dingle temperature being 0.73 in Rb(Cs) and 0.74 in Cs(Rb). The scattering rate anisotropies are large, 20% in Rb(Cs) and 63% in Cs(Rb). In both cases the maximum scattering rate occurs at 〈110〉. Phase-shift fits give a good representation of the scattering anisotropy at both ends of the alloy system: a combination ofs andp terms appears best for Rb(Cs) and ofs andd for Cs(Rb). However, these phase shifts give poor values for xρ/x0, and no agreement with a lattice-distortion prediction for the Friedel sum.

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

References

  1. 1.

    I. M. Templeton,J. Low Temp. Phys. 60, 85 (1985).

  2. 2.

    B. Llewellyn, D. McK. Paul, D. L. Randles, and M. Springford,J. Phys. F 7, 2545 (1977).

  3. 3.

    I. M. Templeton,J. Low Temp. Phys. 43, 293 (1981).

  4. 4.

    I. M. Templeton,J. Low Temp. Phys. 52, 361 (1983).

  5. 5.

    M. Springford, I. M. Templeton, and P. T. Coleridge,J. Low Temp. Phys. 53, 563 (1983).

  6. 6.

    P. T. Coleridge and I. M. Templeton, inElectrons at the Fermi Surface, M. Springford, ed. (Cambridge, 1980), Chapter 11.

  7. 7.

    A. A. Gaertner and I. M. Templeton,J. Low Temp. Phys. 29, 205 (1977).

  8. 8.

    D. McK. Paul and M. Springford,J. Low Temp. Phys. 27, 561 (1977).

  9. 9.

    D. Shoenberg,Magnetic Oscillations in Metals (Cambridge, 1984), Appendix 15.

  10. 10.

    B. Llewellyn, D. McK. Paul, D. L. Randles, and M. Springford,J. Phys. F 7, 2531 (1977).

  11. 11.

    P. T. Coleridge, I. M. Templeton, and P. Vasek,J. Phys. F 14, 2963 (1984).

  12. 12.

    M. S. Duesbery, personal communication (1984).

  13. 13.

    J. Molenaar, P. T. Coleridge, and A. Lodder,J. Phys. F 11, 437 (1981).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Templeton, I.M. Fermi surface changes and electron scattering anisotropy in alkali metal alloys II. The rubidium-cesium system. J Low Temp Phys 66, 305–324 (1987). https://doi.org/10.1007/BF00682259

Download citation

Keywords

  • Anisotropy
  • Fermi Surface
  • Good Representation
  • Metal Alloy
  • Electron Scattering