Valence Band of Cubic Semiconductors from Viewpoint of Clifford Algebra

• Authors: A. Dargys
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

71.15.-m; 72.25.Dc; 75.10.Jm; 85.75.-d

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

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 2
• Pages: 226-231

Dates

published

2009-08

received

2009-03-06

(unknown)

2009-04-16

Contributors

author

A. Dargys

• 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

Identifiers

DOI

10.12693/APhysPolA.116.226