Direct Interband Light Absorption in Strongly Prolated Ellipsoidal Quantum Dots’ Ensemble

Abstract

Within the framework of adiabatic approximation, the energy levels and direct interband light absorption in a strongly prolated ellipsoidal quantum dot are studied. Analytical expressions for the particle energy spectrum and absorption threshold frequencies in three regimes of quantization are obtained. Selection rules for quantum transitions are revealed. Absorption edge and absorption coefficient for three regimes of size quantization (SQ) are also considered. To facilitate the comparison of obtained results with the probable experimental data, size dispersion distribution of growing quantum dots by the small semiaxe in the regimes of strong and weak SQ by two experimentally realizing distribution functions have been taken into account. Distribution functions of Lifshits–Slezov and Gaussian have been considered.

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

“…In general case for the calculation f ν,ν (u) by formula (48), (51), or (52) we used the eigenvalues In the regime of strong dimensional quantization the frequencies of the interband transitions (h → e) in GaAS between the levels n o = 1, n ρo = 0, m = 0 for OSQD or n p = 1, n zp = 0, m = 0 for PSQD at the fixed valuesã = 2.5a e andc = 0.5a e for OSQD orã = 0.5a e andc = 2.5a e for PSQD, are equal to ∆ω to the IR spectral region [7,8], taking the band gap value (2π ) −1Ẽ g = 346 THz into account. In Fig.…”

“…Electronic, kinetic, optical and other properties of QDs have been investigated experimentally and theoretically in many papers [4][5][6][7][8][9][10][11][12][13]. Particularly, the optical absorption characteristics of QDs have been shown to be strongly correlated with their geometry, on one hand, and with their physical-chemical properties, on the other hand.…”

Prolate spheroidal quantum dot: Electronic states, direct interband light absorption and electron dipole moment

“…Note that, the spheroidal and ellipsoidal QDs have an advantage with respect to the spherical QD, as they have additional geometrical parameters. This makes a more flexible manipulation of the physical properties of QDs [15][16][17][18][19][20][21]. The confining potential formed during the growth process in most cases can be approximated by a parabolic potential.…”

Optical properties of spherical quantum dot with modified Pöschl–Teller potential

“…There are many works devoted to the theoretical and experimental study of the optical absorption in sizequantized systems [17][18][19][20][21]. The presence of size quantization essentially influences the absorption mechanism.…”