WJCMP  Vol.4 No.4 , November 2014
Acoustic Polaron in Free-Standing Slabs
Abstract: The ground-state energy and its derivate of the acoustic polaron in free-standing slab are calculated by using the Huybrechts-like variational approach. The criteria for presence of the selftrapping transition of the acoustic polaron in free-standing slabs are determined qualitatively. The critical coupling constant for the discontinuous transition from a quasi-free state to a trapped state of the acoustic polaron in free-standing slabs tends to shift toward the weaker electronphonon coupling with the increasing cutoff wave-vector. Detailed numerical results confirm that the self-trapping transition of holes is expected to occur in the free-standing slabs of wide-bandgap semi-conductors.
Cite this paper: Hou, J. and Si, G. (2014) Acoustic Polaron in Free-Standing Slabs. World Journal of Condensed Matter Physics, 4, 235-240. doi: 10.4236/wjcmp.2014.44025.

[1]   Sumi, A. and Toyozawa, Y. (1973) Discontinuity in the Polaron Ground State. Journal of the Physical Society of Japan, 35, 137-145.

[2]   Whitfield, G. and Shaw, P.B. (1976) Interaction of Electrons with Acoustic Phonons via the Deformation Potential in One Dimension. Physical Review B, 14, 3346-3355.

[3]   Mańka, R. and Suffczyński, M. (1980) The Large Polaron First-Order Phase Transition. Journal of Physics C: Solid State Physics, 13, 6369-6379.

[4]   Shoji, H. and Tokuda, N. (1981) Phase-Transition-Like Behavior in the Problems of Different Types of Polaron. Journal of Physics C: Solid State Physics, 14, 1231-1242.

[5]   Matsuura, M. (1982) Discontinuity of the Surface Polaron. Solid State Communications, 44, 1471-1475.

[6]   Peeters, F.M. and Devreese, J.T. (1985) Acoustical Polaron in Three Dimensions: The Ground-State Energy and the Self-Trapping Transition. Physical Review B, 32, 3515-3521.

[7]   Kirova, N. and Bussac, M.N. (2003) Self-Trapping of Electrons at the Field-Effect Junction of a Molecular Crystal. Physical Review B, 68, 235312.

[8]   Hou, J.H. and Liang, X.X. (2007) On the Possibility of Self Trapping Transition of Acoustic Polarons in Two Dimensions. Chinese Physics B, 16, 3059-3066.

[9]   Hou, J.H. and Liang, X.X. (2007) Self-Trapping of Acoustic Polaron in One Dimension. Chinese Physics Letters, 24, 3222-3224.

[10]   Khan, M.A., Shur, M.S., et al. (1995) Temperature Activated Conductance in GaN/AlGa Nheterostructure Field Effect Transistors Operating at Temperatures up to 300°C. Applied Physics Letters, 66, 1083-1085.

[11]   Bungaro, C., Rapcewicz, K. and Bernholc, J. (2000) Ab Initio Phonon Dispersions of Wurtzite AlN, GaN, and InN. Physical Review B, 61, 6720-6725.

[12]   Ruf, T., Serrano, J., Pavone, P., Pabst, M., Krisch, M., D’Astuto, M., et al. (2001) Phonon Dispersion Curves in Wurtzite-Structure GaN Determined by Inelastic X-Ray Scattering. Physical Review Letters, 86, 906-909.

[13]   Hattori, J., Uno, S. N., Mori, N. and Nakazato, K. (2010) Universality in Electron-Modulated-Acoustic-Phonon Interactions in a Free-Standing Semiconductor Nanowire. Mathematical and Computer Modelling, 51, 880-887.

[14]   Erdunchaolu, Xu, Q. and Liu, B.H. (2006) Effective Mass of Quasi-Two-Dimensional Strong-Coupling Magnetopolaron in Magnetic Fields. Chinese Journal of Luminescence, 27, 871-876.

[15]   Ren, B. and Xiao, J. (2007) Internal Excited State of Surface Polaron in Polyatomic Semi-Infinite Crystals. Chinese Journal of Luminescence, 28, 662-666.

[16]   Hou, J.H. and Liang, X.X. (2007) Ground State Energy and Effective Mass of Two Dimensional Acoustic Polaron. Chinese Journal of Luminescence, 28, 670-674.

[17]   Alexandrov, A.S. and Devreese, J.T. (2009) Advances in Polaron Physics. Springer, Berlin.

[18]   Huybrechts, W.J. (1977) Internal Excited State of the Optical Polaron. Journal of Physics C: Solid State Physics, 10, 3761-3768.