Interband absorption and excitonic states in narrow band InSb spherical quantum dots

Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots

“…These values correspond to the infrared spectral region with longer wavelength, similar to [22], with the band gap value (2π ) −1Ẽ g = 44THz taken into account. One can see that the behavior of total ACs for parabolic dispersion law for IPBM of InSb, shown in Fig.…”

“…where µ e = 0.067m 0 and µ h ≡ µ hh = 0.558m 0 are the masses of electron and hole, respectively,Ẽ g = 1430 meV is the band gap width and κ = 13.18 is the dc permittivity and For InSb the dispersion law for heavy holes (hh) is parabolic while for electrons (e) and light holes (lh) it is non-parabolic and may be described by the Kane model [18,19,22] at…”

“…Interband transitions in an ensemble of cylindrical or spherical InSb QDs were considered theoretically in the dipole approximation with and without magnetic field, including exciton effects, by means of the perturbation theory and the adiabatic methods [20][21][22]. In our ear-lier work we elaborated the calculation schemes, symbolic-numerical algorithms (SNAs) and programs, based on the generalized Kantorovich method (KM) for numerical solving with required accuracy the boundary-value problems (BVPs) of discrete and continuous spectra describing the axial-symmetric models of quantum wells(QWs), quantum wires(QWrs) and quantum dots(QDs) in external fields within the framework of the effective mass approximation [23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Theory of confined states of positronium in spherical and circular quantum dots with Kane’s dispersion law

“…The situation is radically changed when the effective mass of the impurity center (hole) is comparable to the mass of the electron. For example, in the narrow-gap semiconductors for which the CC standard (parabolic) dispersion low is violated, the effective masses of the electron and light hole are equal [11][12][13][14]. It is obvious that in the case of equal effective masses adiabatic approximation is not applicable.…”

“…It should be noted that in the narrow-gap semiconductors, in addition to reduction of the band gap, the dispersion law of CCs is complicated as well. However, there are quite a number of papers in which more complicated dependence of the CC effective mass on the energy is considered [11][12][13][14][32][33][34][35] in the framework of the Kane's theory. For example, for the narrow-gap QDs of InSb the dispersion law of CCs is nonparabolic and it is well described by the Kane two-band mirror model [14,36].…”