Electron-related nonlinear optical properties of cylindrical quantum dot with the Rosen–Morse axial potential

F Ungan,M K Bahar,S Pal,M E Mora-Ramos

Table 1. The variation of electron subband energy differences and the dipole moment matrix elements associated to these subband energy differences for the cylindrical QD with the Rosen–Morse axial potential.

η (cm−1) (${V}_{1}=100\,\mathrm{meV},{V}_{2}=228\,\mathrm{meV},R=80$Å, α0 = 0, and F = 0) ${E}_{1}-{E}_{0}(\mathrm{meV})$ M10 (Å) 0.01 249.938 13.7334 0.015 285.52 11.5751 0.02 315.988 10.3795 V1 ( meV) ($\eta =0.015\,{\mathrm{cm}}^{-1},{V}_{2}=228\,\mathrm{meV},R=80$Å, α0 = 0, and F = 0) ${E}_{1}-{E}_{0}(\mathrm{meV})$ M10 (Å) 100 258.905 15.1299 200 285.52 11.5751 300 307.553 9.285 19 R (Å) ($\eta =0.015\,{\mathrm{cm}}^{-1},{V}_{1}=200\,\mathrm{meV},{V}_{2}=228\,\mathrm{meV},{\alpha }_{0}=0$, and F = 0) ${E}_{1}-{E}_{0}(\mathrm{meV})$ M10 (Å) 60 376.469 29.9553 80 285.52 11.5751 100 234.154 5.227 33 F (kV/ cm) ($\eta =0.005\,{\mathrm{cm}}^{-1},{V}_{1}=200\,\mathrm{meV},{V}_{2}=228\,\mathrm{meV},R=80$Å, and α0 = 0) ${E}_{1}-{E}_{0}(\mathrm{meV})$ M10 (Å) 0 208.989 18.8477 75 204.51 19.675 100 199.82 20.5504 α0 (Å) ($\eta =0.015\,{\mathrm{cm}}^{-1},{V}_{1}=200\,\mathrm{meV},{V}_{2}=228\,\mathrm{meV},R=80$Å, and F = 0) ${E}_{1}-{E}_{0}(\mathrm{meV})$ M10 (Å) 0 285.52 11.5751 25 272.596 12.2331 50 243.354 14.2881