Oscilaciones de la red de nitruros cúbicos
DOI:
https://doi.org/10.21640/ns.v1i2.232Keywords:
lattice oscillations, force constants, dispersion relations, linear chainAbstract
We study the lattice dynamics of the zincblende phase of bulk group-III nitrides using the linear chains models. It is shown that the 3D oscillation problem reduces to uncoupled linear chain equations for high symmetry directions. The relation between the 3D and 1D force constants has been investigated. Our study helps to understand better the richness of the linear chain models. We also show how to fit the 3D bulk force constants (and consequently the whole dynamical matrix) from a few points, either experimental or theoretical. Results for GaN and AlN are reported.Downloads
References
Bechstedt, F., Grossner, O. and Furthmuller, J. (2000-II). Dynamics and polarization of group-III nitride lattice: A firstprinciples study, Phys. Rev. B 62:8 pp 5028-5035.
Born, M. and Huang, K. (1954). Dynamical theory of crystal lattices. Oxford: ClarendonPress.
Davydov, V.Yu., Kitaev, Yu.E., Goncharuk, I.N., Smirnov, A.N., Graul, J., Sernchinova, O., Uffmann, D., Smirnov, M.B., Mirgorodsky, A.P. and Evarestov, R.A. (1998). Phonon dispersion and Raman scattering in hexagonal GaN and AlN. Phys. Rev. B 58:19 pp 12899-12907.
Fasolino, A., Molinari, E., and Kunc, K. (1990). Planar force-constant method for lattice dynamics of structures. Phys. Rev. B 41:12 pp 8302-8312.
Jusserand, B. and Cardona, M. (1989). Light Scattering in Solids V. Heidelberg: Springer-Verlag.
Karch K. and Behstedt F. (1997-II). Ab initio lattice dynamics of BN and AlN: Covalent versus ionic forces. Phys. Rev. B 56:12, pp 7404-7415.
Karch, K., Wagner, J.M., and Behstedt, F. (1998). Ab initio study of structural, dielectric, and dynamical properties of GaN. Phys. Rev. B 57 pp 7043-7049.
Koster, G. F. (1957). Solid State Physics V. New York: Academic Press.
Nakamura, S. and Fasol, G. (1997). The Blue Laser Diode. Berlin: Springer.
Parlinski, K. and Kawazoe, Y. (1999-I). Ab initio study of phonons in hexagonal GaN”, Phys. Rev. B 60:23 pp 15511-15514.
Santiago-Pérez, D.G., de León-Pérez, F., and Pérez-Álvarez, R. (2006). Force constants and dispersion relations for the zincblende and diamond structures revisited. Rev. Mex. Fis. 52:2 pp 163-171.
T t nc , H.M. and Srivastava, G. B. (2000). Phonons in zinc-blende and wurtzite phases of GaN, AlN, and BN with the adiabatic bond-charge model. Phys. Rev. B 62:8 pp 5028-5035.
Xi, J., Wan, X., Wei, G., Zhan, K., and Xie, X. (1996). Lattice dynamics of zinc-blende GaN and AlN: I. Bulk phonons. J.Phys.: Condens Matter 8:35 pp 6323-6328.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Nova Scientia
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Conditions for the freedom of publication: the journal, due to its scientific nature, must not have political or institutional undertones to groups that are foreign to the original objective of the same, or its mission, so that there is no censorship derived from the rigorous ruling process.
Due to this, the contents of the articles will be the responsibility of the authors, and once published, the considerations made to the same will be sent to the authors so that they resolve any possible controversies regarding their work.
The complete or partial reproduction of the work is authorized as long as the source is cited.