Study of the electronic local density of states using the cluster-Bethe-lattice method: Application to amorphous III-V semiconductors

Felix Yndurain; J. D. Joannopoulos

doi:10.1103/PhysRevB.14.3569

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Study of the electronic local density of states using the cluster-Bethe-lattice method: Application to amorphous III-V semiconductors

Felix Yndurain^*

J. D. Joannopoulos

Department of Physics, University of California, Berkeley, California 94720

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

^*Work supported by the NSF through Grant No. DMR72-03106-A01.

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Phys. Rev. B 14, 3569 – Published 15 October, 1976

DOI: https://doi.org/10.1103/PhysRevB.14.3569

Abstract

The cluster-Bethe-lattice method is extended to study the Weaire-Thorpe $s p^{3}$ Hamiltonian. We derive a transformation which makes it possible to calculate the local density of states of a system described with a four-orbital Hamiltonian by using the local Green's function of a one-orbital Hamiltonian. We study the effects on the density of states of the presence of like-atom bonds in amorphous III-V semiconductors. We analyze two models: (a) like-atom bond in tetrahedral configuration, and (b) like-atom bond in triangular pyramidal configuration. Our results are in agreement with the experimental data.

References (16)

AIP Conf. Proc. 20 (1974)
F. Yndurain, J. D. Joannopoulos, M. L. Cohen, and L. M. Falicov, Solid State Commun. 15, 617 (1974)
J. D. Joannopoulos and F. Yndurain, Phys. Rev. B 10, 5164 (1974)
F. Yndurain and J. D. Joannopoulos, Phys. Rev. B 11, 2957 (1975)
M. F. Thorpe and D. Weaire, Phys. Rev. B 4, 3518 (1971)
J. D. Joannopoulos and M. L. Cohen, Phys. Rev. B 10, 1545 (1974)
R. Haydock, V. Heine, and M. J. Kelly, J. Phys. C 5, 2845 (1972)
G. A. N. Connell and R. J. Temkin, AIP Conf. Proc. 20, 92 (1974)
F. Yndurain and F. J. Yndurain, J. Phys. C 8, 434 (1975)
W. Leung, Solid State Commun. 16, 1383 (1975)
R. Haydock, V. Heine, and M. J. Kelly, J. Phys. C 8, 2591 (1975)
J. P. Gaspard and F. Cyrot-Lackmann, J. Phys. C 6, 3077 (1973)
D. Weaire and M. F. Thorpe, in Computational Methods for Large Molecules and Localized States in Solids, edited by F. Herman, A. D. McLean, and R. K. Nesbet (Plenum, New York, 1972)
N. Shevchik, J. Tejeda, and M. Cardona, Phys. Rev. B 9, 2627 (1974)
L. M. Falicov and S. Golin, Phys. Rev. 137, A871 (1965)
G. N. Greaves and E. A. Davis, Philos. Mag. 29, 1201 (1974)

[c1] AIP Conf. Proc. 20 (1974)

[c2] F. Yndurain, J. D. Joannopoulos, M. L. Cohen, and L. M. Falicov, Solid State Commun. 15, 617 (1974)

[c3] J. D. Joannopoulos and F. Yndurain, Phys. Rev. B 10, 5164 (1974)

[c4] F. Yndurain and J. D. Joannopoulos, Phys. Rev. B 11, 2957 (1975)

[c5] M. F. Thorpe and D. Weaire, Phys. Rev. B 4, 3518 (1971)

[c6] J. D. Joannopoulos and M. L. Cohen, Phys. Rev. B 10, 1545 (1974)

[c7] R. Haydock, V. Heine, and M. J. Kelly, J. Phys. C 5, 2845 (1972)

[c8] G. A. N. Connell and R. J. Temkin, AIP Conf. Proc. 20, 92 (1974)

[c9] F. Yndurain and F. J. Yndurain, J. Phys. C 8, 434 (1975)

[c10] W. Leung, Solid State Commun. 16, 1383 (1975)

[c11] R. Haydock, V. Heine, and M. J. Kelly, J. Phys. C 8, 2591 (1975)

[c12] J. P. Gaspard and F. Cyrot-Lackmann, J. Phys. C 6, 3077 (1973)

[c13] D. Weaire and M. F. Thorpe, in Computational Methods for Large Molecules and Localized States in Solids, edited by F. Herman, A. D. McLean, and R. K. Nesbet (Plenum, New York, 1972)

[c14] N. Shevchik, J. Tejeda, and M. Cardona, Phys. Rev. B 9, 2627 (1974)

[c15] L. M. Falicov and S. Golin, Phys. Rev. 137, A871 (1965)

[c16] G. N. Greaves and E. A. Davis, Philos. Mag. 29, 1201 (1974)

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Study of the electronic local density of states using the cluster-Bethe-lattice method: Application to amorphous III-V semiconductors

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