Self-Trapping of Acoustic Polaron in One Dimension

Effective Mass of Acoustic Polaron in Quantum Dots

“…It is obviously that the critical point α c shifts toward the weaker e-p coupling with increasing the cutoff wave-vector k 0 . The character of the critical coupling constant varying with the cutoff wave-vector k 0 is corresponding to the previous papers [6] [7] [10].…”

“…In this work the α c k 0 are close to 1.6, 1.1 and 1.2 for k 0 = 5, 10 and 20, respectively. The AlN has the αk 0 closed to 1.16 and 2.79 for light and heavy holes, respectively [10]. So that the self-trapping transition of the holes might be realized in the AlN quantum dot with the radius of 0.1.…”

“…As can be seen in Figure 2 a knee in the effective mass curve with respect to α at α c ≈ 0.320, for k 0 = 5, which is called the "phase transition" critical point, where the polaron state transforms from the quasi-free to the selftrapped [6] [7] [9] [10]. When k 0 = 10 and 20, the critical points are at α c ≈ 0.111 and 0.062, respectively.…”

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

“…Several phenomena like high temperature superconductivity [24] are suspected to be related to bipolarons (the stable pair of coupled polarons). Many studies are devoted to the behaviours of these carriers under thermal energy with the conductivity and mobility being quantities of primary interest [25] [26]. It is observed that the quasi-particles exist both in self-trapped (quantum phase) and quasi-free state (classical phase); however, the limit separating quantum phase and classical phase is not determined.…”