中国物理B ›› 2007, Vol. 16 ›› Issue (10): 3059-3066.doi: 10.1088/1009-1963/16/10/040
• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇 下一篇
On the possibility of self-trapping transition of acoustic polarons in two dimensions
侯俊华, 梁希侠
- Department of Physics, Inner Mongolia University, Hohhot 010021, China
On the possibility of self-trapping transition of acoustic polarons in two dimensions
Hou Jun-Hua(侯俊华) and Liang Xi-Xia(梁希侠)†
- Department of Physics, Inner Mongolia University, Hohhot 010021, China
摘要： A 2D electron-longitudinal-acoustic-phonon interaction Hamiltonian is derived and used to calculate the ground-state energy of the acoustic polarons in two dimensions. The numerical results for the ground-state energy of the acoustic polarons in two and three dimensions are obtained. The 3D results agree with those obtained by using the Feynman path-integral approach. It is found that the critical coupling constant of the transition from the quasifree state to the self-trapped state in the 2D case is much smaller than in the 3D case for a given cutoff wave-vector. The theory has been used to judge the possibility of the self-trapping for several real materials. The results indicate that the self-trappings of the electrons in AlN and the holes in AlN and GaN are expected to be observed in 2D systems.
中图分类号: (Self-trapped or small polarons)
- 71.38.Ht