Abstract.A microscopic analysis of the radiation intraband absorption mechanism by holes with their transition to a spin-split band for quantum wells based on InGaAsP/InP solid solutions is performed within the framework of the four-band Kane model. The calculation is made for two polarizations of the incident radiation: along the crystal growth axis and in the plane of the quantum well. It is shown that this process can be the main mechanism of internal radiation losses for quantum well lasers. It is also shown that the dependence of the absorption coefficient on the width of the quantum well has a maximum at a well width from 40 to 60 A.
IntroductionThe mechanisms radiation intraband absorption mechanisms in QW lasers are studied both theoretically and experimentally for many years [6]. Experimental results [7,8] show that the laser radiation intraband absorption coefficient is substantially higher than predicted by the theory [9]. One of the candidates for explaining these results is the process radiation intraband absorption process by holes with the transition to the spin-split (so) zone. In this paper, we will use the modification of the four-band Kane model [10] proposed by Polkovnikov and Zegrya [11,12], which is based on the use of the 8×8 kP Hamiltonian, and allows us to obtain explicit analytical expressions for energy spectra and wave functions of charge carriers, as well as matrix elements of transitions. The authors proposed a modification of this method, allowing to take into account the elastic stresses arising in mismatched heterostructures. The aim of this work is to calculate the radiation intraband absorption coefficient by holes with their transition to the so-zone for QWs based on A3B5 semiconductors, and also to study the dependence of the results obtained on the electromagnetic wave polarization, temperature, hole concentration, and QW width. The calculations are based on the example of the InGaAsP/InP heterostructure, which is widely used in the construction of semiconductor lasers with a radiation wavelength of 1.55 μm, and the structure parameters are taken from [13].
Basic EquationsWe used 8×8 kP Hamiltonian [11] that takes interaction with the higher bands and terms arising from elastic stresses into account up to quadratic terms by the wave vector but neglects the relativistic linear terms and the term with heavy electron mass. For our calculations, we choose the following representation of the basis wave functions: