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 semiconductors .

Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)

“…Here, we consider self-action potential energy in (12) for the fluctuation strength 0 ρ = and extremise the resultant expression with respect to the variational parameter Q γ then this yields for arbitrary thermal energy, the polaron self-action potential energy…”