Luttinger-like parameter calculations

The disintegration of GaSb/GaAs nanostructures upon capping

“…In this step, the conduction band, heavy-hole, light-hole, and spinorbit bands of GaSb are shifted down to 530 meV to obtain consistency with the experimental value of the transition energy within the QDs 26 and the conduction band offset of the QDs. 27 The total 8-band k.p Hamiltonian 23,28 was numerically solved by the finite difference method to obtain the hole states in the valence band. The transition energies calculated were 0.365 and 0.300 eV for the compact QDs and smaller islands, respectively, resulting in PL peaks at 1.155 and 1.220 eV, as indicated by the solid and dashed lines in Figure 2.…”

Eight-band k⋅p calculations of the composition contrast effect on the linear polarization properties of columnar quantum dots

“…͑13͒ and ͑14͒, E C and E V are the unstrained positions of the conduction and valence band energies, respectively, E g = E C − E V is the energy band gap, ⌬ is the spin-orbit splitting energy, and P 0 is the k · p matrix element describing the conduction-valence band coupling. The constants ␥ 1 , ␥ 2 , and ␥ 3 are the modified Luttinger parameters and are related 30 to…”

Choosing a basis that eliminates spurious solutions ink∙ptheory

“…The validity of the PBA was studied by Boujdaria et al, 73 who found that it works well in many materials. 74 However, it should be noted that the error…”

“…The PBA used here is open to the objection that it does not provide an exact description of the mass of the spin-orbit splitoff ⌫ 7v band 47 ͑although, as discussed above, it provides a good approximation in many cases 73 ͒. This deficiency can be remedied by applying the present unitary transformation to the Hamiltonian of Weiler et al, 70 which includes a full set of independent parameters for ⌫ 7v .…”