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Self-trapping transition of acoustic polaron in free-standing square quantum dots

X. F. DUAN1, J. H. HOU1,*

Affiliation

  1. College of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, China Modern College of Humanities and Sciences of Shanxi Normal University, Linfen 041000, China

Abstract

The interaction of the electron and acoustic phonon in free-standing square quantum dot systems is investigated theoretically. The electron-acoustic phonon interaction Hamiltonian is derived by taking the displacement vector’s divergence of the acoustic phonon. The variational ground-state energies and their derivatives of the acoustic polaron in square quantum dot structures are numerically computed for different cutoff wave-vectors. The discriminating standards for the self-trapping transition of the acoustic polaron in square quantum dots are confirmed quantitatively. The results indicate that the self-trapping transition of the electron in wide-band-gap semiconductors and alkali halides square quantum dot structures might be occured..

Keywords

Quantum dot, Electron-longitudinal acoustic-phonon interaction, Acoustic polaron, Self-trapping.

Citation

X. F. DUAN, J. H. HOU, Self-trapping transition of acoustic polaron in free-standing square quantum dots, Optoelectronics and Advanced Materials - Rapid Communications, 11, 7-8, July-August 2017, pp.436-439 (2017).

Submitted at: March 18, 2017

Accepted at: Aug. 9, 2017