Hayrapetyan David B, Kazaryan Eduard M, Mkrtchyan Mher A, Sarkisyan Hayk A
Institute of Engineering and Physics, Russian-Armenian University, 123 Hovsep Emin Str., Yerevan 0051, Armenia.
Institute of Physics, Nanotechnology and Telecommunications, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia.
Nanomaterials (Basel). 2020 Sep 23;10(10):1896. doi: 10.3390/nano10101896.
In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized.
本文研究了强长椭球形Ge/Si量子点中重空穴气的行为。由于量子点的特定几何形状，空穴之间的相互作用被视为一维的。基于绝热近似，结果表明在z方向上，空穴气定域在一维抛物阱中。通过在振荡定律框架内对空穴间的对相互作用势进行建模，该问题被简化为一个一维且可解析求解的莫辛斯基模型。计算了少空穴气的精确能谱，并对能谱进行了详细分析。当实现科恩定理时，得到了系统质心能级之间长波跃迁的特性。
