Title variants
Languages of publication
Abstracts
In this paper the properties of semiconductors having cubic symmetry are considered in a real multidimensional Euclidean space within the formalism of multivector Clifford algebra rather than, usually used for this purpose, complex Hilbert space. In particular, it is demonstrated how the valence band energy spectrum and spin properties may be calculated within Cl_5 Clifford algebra and SO(5) symmetry group related with it.
Discipline
- 72.25.Dc: Spin polarized transport in semiconductors
- 71.15.-m: Methods of electronic structure calculations(see also 31.15.-p Calculations and mathematical techniques in atomic and molecular physics; for electronic structure calculations of superconducting materials, see 74.20.Pq)
- 85.75.-d: Magnetoelectronics; spintronics: devices exploiting spin polarized transport or integrated magnetic fields
- 75.10.Jm: Quantized spin models, including quantum spin frustration
Journal
Year
Volume
Issue
Pages
226-231
Physical description
Dates
published
2009-08
received
2009-03-06
(unknown)
2009-04-16
Contributors
author
- Semiconductor Physics Institute, A. Goštauto 11, LT-01108 Vilnius, Lithuania
References
- 1. D. Hestenes, G. Sobczyk, Clifford Algebra to Geometric Calculus, Reidel, Boston 1984
- 2. P. Lounesto, Clifford Algebras and Spinors, Cambridge University Press, Cambridge 1997
- 3. D. Hestenes, Am. J. Phys. 71, 104 (2003)
- 4. C. Doran, A. Lasenby, Geometric Algebra for Physicists, Cambridge University Press, Cambridge 2003
- 5. C. Doran, A. Lasenby, S. Gull, S. Somaroo, A. Challinor, arXiv:quant-ph/0509178v1, 1-93 (2005)
- 6. J.M. Luttinger, W. Kohn, Phys. Rev. 97, 869 (1955)
- 7. A. Dargys, Phys. Status Solidi B 241, 2954 (2004)
- 8. A. Dargys, Solid-State Electron. 51, 93 (2007)
- 9. A. Dargys, Phys. Status Solidi B 245, 1483 (2008)
- 10. A. Dargys, Phys. Scr. 79, 055702 (2009)
- 11. E. Demler, S.C. Zhang, Ann. Phys. 271, 83 (1999)
- 12. S. Murakami, N. Nagaosa, S.C. Zhang, Phys. Rev. B 69, 235206 (2004)
- 13. A. Dargys, in: Spintronics: Materials, Applications and Devices, Eds. G.C. Lombardi, G.E. Bianchi, NOVA Publishers, New York 2008
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n219kz