Optical Phonon Modes and Electron-optical Phonon Interaction in Core-shell Semiconductor Quantum Wires


  • Nguyen Nhu Dat Communications in Physics, VAST
  • Le Thanh Hai




Within the framework of the macroscopic dielectric continuum model the longitudinal optical (LO) phonon modes are derived for a cylindrical semiconductor quantum wire made of semiconductor 1 (well material) embedded in another finite semiconductor 2 (barrier material).  The phonon states of modes are given by solving the generalized Born-Huang equation. It is shown that there may exist four types of longitudinal optical phonon modes according to the concrete materials forming the wire. The dispersion equations for phonon frequencies with wave-vector components parallel to the wire are obtained. After having quantized the phonon field we derive the Fröhlich Hamiltonian describing the electron--LO-phonon interaction. The influence of the thickness of the barrier layer as well as the thin metallic shell on the phonon frequencies and their interaction with electrons is studied.


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Duan X., Huang Y., and Lieber C.M., Nano Lett. 2 (2002) 487.

Cui Y. and Lieber C.M., Science 291 (2001) 851.

Huang Y., Duan X., Cui Y., and Lieber C.M., Nano Lett. 2 (2002) 101.

Cui Y., Wei Q., Park H., and Lieber C.M., Science 293 (2001) 1289.

Karlsson K.F., Weman H., Dupertuis M.-A., Leifer K., Rudra A., and Kapon E., Phys. Rev. B70 (2004) 045302.

Eugster C.C., del Alamo J.A., Rooks M.J., and Melloch M.R., Appl. Phys. Lett. 64 (1994) 3157.

Fischer S.F., Apetrii G., Kunze U., Schuh D., and Abstreiter G., Nature Physics 2 (2006) 91.

Bennett C.H. and DiVincenzo D.P., Nature 404 (2000) 247.

Fan H.J., Werner P., and Zacharias M., Small 2 (2006) 700.

Leburton J.P., J. Appl. Phys. 56 (1984) 2850.

Constantinou N.C. and Ridley B.K., J. Phys.: Condens. Matter 1 (1989) 2283.

Wendler L. and Kugler R., J. Phys.: Condens. Matter 6 (1994) 7857.

Bennett C.R., Constatinou N.C., and Tanatar B., J. Phys.: Condens. Matter 7 (1995) L669.

Mansour N.S., Sirenko Yu.M., Kim K.W., Littlejohn M.A.,Wang J., and Leburton J.P., Appl. Phys. Lett. 67 (1995)

Fai L.C., Teboul V., Monteil A., Maabou S., and Nsangou I., Condens. Matter Phys. 8 (2005) 639.

Fasol G., Tanaka M., Sakaki H., and Horikosh Y., Phys. Rev. B38 (1988) 6056.

Watt M., Sotomayor-Torres C.M., Arnot H.E.G., and Beaumont S.P., Semicond. Sci. Technol. 5 (1990) 285.

Adu K.W., Xiong Q., Gutierrez H.R., Chen G., and Eklund P.C., Appl. Phys. A85 (2006) 287.

Spirkoska D., Abstreiter G., and Fontcuberta i Moral A., Nanotechnology 19 (2008) 435704.

Ren S.F. and Chang Y.C., Phys. Rev. B43 (1991) 11857.

Zhu B.F., Phys. Rev. B44 (1991) 1926; Semiconduc. Sci. Technol. 7 (1992) B88.

Stroscio M.A., Kim K.W., Littlejohn A., and Chuang H., Phys. Rev. B42 (1990) 1488.

Knipp P. and Reinecke T.L., Phys. Rev. B45 (1992) 9091.

Enderlein R., Phys. Rev. B47 (1993) 2162.

Bennett C.R. and Tanatar B., Phys. Rev. B55 (1997) 7165.

Xie H.J., Chen C.Y., and Ma B.K., Phys. Rev. B61 (2000) 4827.

Zhang L., Commun. Theor. Phys. 42 (2004) 459.

Vartanian A.L., Int. J. Mod. Phys. B20 (2006) 3015.

Zuo Z.W. and Xie H.J., J. Phys.: Condens. Matter 22 (2010) 025403.


Constantinou N.C. and Ridley B.K., Phys. Rev. B41 (1990) 10622; ibid. B41 (1990) 10627.

Stroscio M.A. and Dutta M., Phonons in Nanostructures, Cambridge Univ., Cambridge, (2001).

Ridley B.K., Electrons and Phonons in Semiconductor Multilayers, 2nd edn, Cambridge Univ., Cambridge,


Ridley B.K., Phys. Rev. B47 (1993) 4592.

Wang X.F. and Lei X.L., Solid State Commun. 91 (1994) 513.

Comas F., Cantarero A., Trallero-Giner C., and Moshinsky M., J. Phys.: Condens. Matter 7 (1995) 1789.

Stavrou V.N., Bennett C.R., Al-Dossary O.M.M., and Babiker M., Phys. Rev., B63 (2001) 205304.

Comas F., Camps I., Marques G.E., and Studart N., Semicond. Sci. Technol. 22 (2007) 229.

Gradshteyn I.S. and Ryzhik I.M., Table of integrals, series, and products, 7th edn, Academic Press, New York,

Ridley B.K., Phys. Rev. B39 (1989) 5282.




How to Cite

Dat, N. N., & Hai, L. T. (2015). Optical Phonon Modes and Electron-optical Phonon Interaction in Core-shell Semiconductor Quantum Wires. Communications in Physics, 24(4), 333. https://doi.org/10.15625/0868-3166/24/4/3268