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.
Highlights
The electron mobility is important because it is a parameter which associates microscopic electron motion with macroscopic phenomena such as current-voltage characteristics
It is meaningful to judge the possibility of the self-trapping of electron in free-standing slab systems
It is determined in our previous works [8] that the self-trapping of the electrons in AlN as well as the holes in AlN and GaN is expected to be observed in 2D system
Summary
The electron mobility is important because it is a parameter which associates microscopic electron motion with macroscopic phenomena such as current-voltage characteristics. The mobility will be changed markedly if electron state transforms from the quasi-free to the self-trapped. The self-trapping of an electron is due to its interaction with acoustic phonons. It is meaningful to judge the possibility of the self-trapping of electron in free-standing slab systems. It is determined in our previous works [8] that the self-trapping of the electrons in AlN as well as the holes in AlN and GaN is expected to be observed in 2D system. The criterion for the presence of the self-trapping of electron in free-standing slab systems is desired. A new Hamiltonian describing the deformation potential interaction between the electron and the acoustic phonon in free-standing slab systems will be derived. The self-trapping transition of the Q2D acoustic polaron will be discussed
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