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Relativistic Multiple Scattering Theory

Published online by Cambridge University Press:  25 February 2011

B. L. Gyorffy
B. L. Gyorffy*
Affiliation:
H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK
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The symmetry properties of the Dirac equation, which describes electrons in relativistic quantum mechanics, is rather different from that of the corresponding Schr6dinger equation. Consequently, even when the velocity of light, c, is much larger than the velocity of an electron Vk, with wave vector, k, relativistic effects may be important. For instance, while the exchange interaction is isotropic in non-relativistic quantum mechanics the coupling between spin and orbital degrees of freedom in relativistic quantum mechanics implies that the band structure of a spin polarized metal depends on the orientation of its magnetization with respect to the crystal axis. As a consequence there is a finite set of degenerate directions for which the total energy of the electrons is an absolute minimum. Evidently, the above effect is the principle mechanism of the magneto crystalline anisotropy [1]. The following session will focus on this and other qualitatively new relativistic effects, such as dichroism at x-ray frequencies [2] or Fano effects in photo-emission from non-polarized solids [3].

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 253: Symposium V – Application of Multiple Scattering Theory to Materials Science , 1991 , 305
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1. Staunton, J. B., Matsumoto, M., Strange, P., in this volume (1991).Google Scholar
2. Ebert, H., in this volume (1991).Google Scholar
3. Tamura, E., this symposium (unpublished) (1991).Google Scholar
4. Schiff, L. I., “Quantum Mechanics”, McGraw-Hill Co. (1968).Google Scholar
5. Brooks, H., Phys. Rev. 58, 909 (1940).CrossRefGoogle Scholar
6. Fletcher, G. C., Proc. Roy. Soc. 67A, 505 (1954).Google Scholar
7. Brooks, M. S. S. and Kelly, P. J., Phys. Rev. Lett., 51, 1708 (1983).Google Scholar
8. Wilson, S., Grant, I. P., and Gyorffy, B. L., eds., “The Effect of Relativity in Atoms, Molecules, and the Solid State”, Plenum Press, NY (1991).CrossRefGoogle Scholar
9. Rose, M. E., “Relativistic Electron Theory”, Wiley, NY (1961).Google Scholar
10. Feder, R., Rosicky, F., and Ackermann, B., Phys 52, 31 (1983).Google Scholar
11. Strange, P., Staunton, J. B., and Gyorffy, B. L., J. Phys. C, 17, 3355 (1984).Google Scholar
12. Ramana, M. V. and Rajagopal, A. K., Phys. Rev. A, 24, 1689 (1981).Google Scholar
13. Ginatempo, B. and Cyorffy, B. L., J. Phys: Condensed Matter 2, 5233 (1990).Google Scholar
14. Andersen, O. K., Phys. Rev. B 12, 3060 (1975).Google Scholar
15. Johansson, B., Eriksson, O., Nordstrom, L., Severin, L., and Brooks, M. S. S., Physica, B172, 101 (1991).Google Scholar