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- W3215214363 abstract "We present results of $mathbit{k}ifmmodecdotelsetextperiodcenteredfi{}mathbit{p}$ calculations of the effective $g$ factor of holes confined in spherical, cube, and planar semiconductor nanocrystals (NCs). We use the six-band Luttinger model for semiconductors with the zinc-blende crystal structure and study the size dependence of the ${mathrm{ensuremath{Gamma}}}_{8}$ top valence subband hole $g$ factor caused by the admixture of the spin-orbit split-off valence subband ${mathrm{ensuremath{Gamma}}}_{7}$. We present semianalytical expressions for the hole $g$ factor which depends on the light- to heavy-hole effective mass ratio $ensuremath{beta}$ and on the ratio between spin-orbit energy splitting of valence band ${mathrm{ensuremath{Delta}}}_{text{SO}}$ and the hole quantization energy ${E}_{h}$. The admixture of ${mathrm{ensuremath{Gamma}}}_{7}$ states is significant for small ${mathrm{ensuremath{Delta}}}_{text{SO}}/{E}_{h}$ and, in spherical and cube NCs, leads to a strong size dependence of the hole $g$ factor. In thin planar nanoplatelets (NPLs) with infinite or large lateral sizes, the dependence of the heavy-hole $g$ factor on NPL thickness is relatively weak. It is drastically enhanced and may become nonmonotonic in NPLs with finite in-plane sizes due to the additional hole states mixing. We discuss our results in comparison with published experimental data for CdSe- and InP-based spherical NCs and NPLs and point out the specificity of extracting hole $g$ factor from the data measured on excitons." @default.
- W3215214363 created "2021-12-06" @default.
- W3215214363 creator A5028507484 @default.
- W3215214363 creator A5047992530 @default.
- W3215214363 creator A5064689451 @default.
- W3215214363 date "2021-11-18" @default.
- W3215214363 modified "2023-10-14" @default.
- W3215214363 title "Influence of the spin-orbit split-off valence band on the hole <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>g</mml:mi></mml:math> factor in semiconductor nanocrystals" @default.
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