Tuning Terahertz Recombination Transitions of Quaternion States in Ellipsoidal Quantum Dot

Abstract

In the mode of a strong size quantization, the positive, neutral, and negative quaternion states in a strongly oblate ellipsoidal quantum dot (SOEQD) are considered and the stability of these quasiparticles is shown. The energies of all types of quaternions are calculated using the variational method, where trial wave functions are constructed based on the single-particle wave functions of an electron and a hole. The dependences of the binding energy of all types of quaternion states on the small semiaxis of SOEQD are constructed. The recombination radiation energies of all types of quaternions for various combinations of geometric parameters of SOEQD are computed. It is shown that the frequencies of the recombination radiation are in the terahertz range.