Acoustic Polaron in Free-Standing Slabs


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


[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.

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