Real and spurious solutions of the k⋅p model for nanostructures

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 11, 2000, Pages 7241-7244

  Wang, Lin Wang ^a  

^a NATIONAL RENEWABLE ENERGY LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001141135     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.7241     Document Type: Article

References (20)

1. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Wiley, New York, 1988).
2. P.C. Sercel et. al Bull. Am. Phys. Soc. 44, 198 (1999).
3. P.C. Sercel et. al Phys. Rev. Lett. 83, 2394 (1999).
4. E. Poles et. al Appl. Phys. Lett. 75, 971 (1999).
5. P.C. Sercel (private communication).
6. M.G. Burt, J. Phys.: Condens. Matter 4, 6651 (1992).
7. S.D. Franceschi et. al Phys. Rev. B 59, 9691 (1999).
8. M.J. Godfrey and A.M. Malik, Phys. Rev. B 53, 16 504 (1996).
9. H. Fu et. al Phys. Rev. B 57, 9971 (1998).
10. L.W. Wang and A. Zunger, Phys. Rev. B 51, 17 398 (1995).
11. M.L. Cohen and J.R. Chelikowsky, Electronic Structure and Optical Properties of Semiconductors (Springer-Verlag, Berlin, 1989).
12. P.C. Sercel and K.J. Vahala, Phys. Rev. B 42, 3690 (1990).
13. A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1960).
14. Al.L. Efros and M. Rosen, Phys. Rev. B 58, 7120 (1998).
15. S.I. Kokhanovskii et. al Fiz. Tverd. Tela (Leningrad) 33, 1719 (1991) [Sov. Phys. Solid State 33, 967 (1991)].
16. G.N. Aliev et. al Fiz. Tverd. Tela (St. Petersburg) 35, 1514 (1993) [Phys. Solid State 35, 764 (1993)].
17. Al.L. Efros et. al Solid State Commun. 43, 613 (1982).
18. L.W. Wang et. al (unpublished).
19. In the tight-binding complex k band structure given in Y.C. Chang, Phys. Rev. B 25, 605 (1982), a band structure curve exists starting from around the X point valley into the band gap [e.g, Fig. 22 in their paper]. However, this curve is not the (Formula presented) bifurcation and cannot be used as the (Formula presented) state for the following reasons: (1) This curve always starts from the x valley for different materials, thus it is insensitive to the signs and values of (Formula presented) and (Formula presented) (2) Its k is complex, having both real and imaginary parts. (3) Its Bloch function has the characteristic (symmetries, etc.) of the x valley state, which is different from the (Formula presented) point electron+light hole states.
20. H. Fu and A. Zunger, Phys. Rev. B 56, 1496 (1997).