Effects of the alloy compositions on the phonon-polaritons in ternary mixed crystals

Abstract

Composition dependence of bulk and surface phonon-polaritons in ternary mixed crystals are studied in the framework of the modified random-element-isodisplacement model and the Born-Huang approximation. The numerical results for several II–VI and III–V compound systems are performed, and the polariton frequencies as functions of the compositions for ternary mixed crystals Al_xGa_1−xAs, GaP_xAs_1−x, ZnS_xSe_1−x, GaAs_xSb_1−x, Ga_xIn_1−xP, and Zn_xCd_1−xS as examples are given and discussed. The results show that the dependence of the energies of two branches of bulk phonon-polaritons which have phonon-like characteristics, and surface phonon-polaritons on the compositions of ternary mixed crystals are nonlinear and different from those of the corresponding binary systems.

References

[1] GantzounisG., StefanouN.. Phys. Rev. B, 2007, 75: 193102

[2] Peter B. Catrysse and Shanhui Fan, Phys. Rev. B, 75 (2007), 075422.

[3] BaheraS., BaharvandaA., SepahvandaR., BadraghiJ.. Physica B, 2007, 393: 179

[4] S. S. Ng, Z. Hassan, and H. Abu Hassan, Appl. Phys. Lett., 91 (2007), 081909.

[5] SchneiderS., SeidelJ., GrafströmS., EngL. M.. Appl. Phys. Lett., 2007, 90: 143101

[6] Kenji Katayama, Qing Shen and Taro Toyoda. Appl. Phys. Lett., 2007, 90: 171117

[7] Joseph WilsonaK.S., NavaneethakrishnanK.. Physica E, 2006, 31: 209

[8] SataninA. M., JoeY. S.. Phys. Rev. E, 2005, 72: 066618

[9] D. W. Taylor, in: R. J. Elliot and I. P. Ipatova (Eds.) Optical Properties of Mixed Crystals, NorthHolland, Amsterdam (1988), Chap. 2.

[10] HsuH. P., HuangP. J., HuangC. T., HuangY. S., FirsztF., LegowskiS., MeczyñskaH., StrzalkowskiK., MarasekA., TiongK. K.. J. Appl. Phys., 2008, 103: 013501

[11] J. Z. Wang, P. J. Huang, and H. P. Hsu, et al., J. Appl. Phys., 101 (2007), 103539.

[12] KazanaM., MasriP., SumiyaM.. J. Appl. Phys., 2006, 100: 013508

[13] LiangX. X., BanS. L.. Chin. Phys., 2004, 13: 71

[14] MillsD. L., MaradudinA. A.. Phys. Rev. Lett., 1973, 31: 372

[15] AdachiS.. J. Appl. Phys., 1985, 58: R1

[16] E. Kartheuser, in: J. T. Devreese (Ed.), Polarons in Ionic crystals and polar semiconductors, NorthHolland, Amsterdam (1973), 718.

[17] StriteS., MorkocH.. J. Vac. Sci. Technol. B, 1992, 10: 1237