On Boundary Condition-Induced States in Low-Dimensional Semiconductor Structures
W Jaskolski, R -. Oszwaldowski, Garnett W. Bryant
We examine different solutions of multi-band k.p Hamiltonians. We refer mainly to the intrinsic surface states, with energies in the forbidden energy gap, that were proposed recently for bare and capped nanocrystals. We review analytical and numerical results for different Hamiltonians and demonstrate that spurious solutions occur both for quantum dots and quantum wells. By showing peculiar characteristics of the proposed gap states, we argue that they are spurious solutions appearing in multi-band formulations due to infinite potential barrier imposed at the nanocrystal surface. We propose that these states are not physical and should be excluded from the theoretical interpretation of experimental data.
electronic structure, nanocrystal, quantum dot semiconductor, surface state
, Oszwaldowski, R.
and Bryant, G.
On Boundary Condition-Induced States in Low-Dimensional Semiconductor Structures, Vacuum
(Accessed May 28, 2023)