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In this work we derive a ready-to-use symmetry invariant expansion of thefull-zone 30-band k.p Hamiltonian for the Td point group. In order to findrespective parameters, the band structures of III-V materials were calculatedwithin a state-of-the-art Density Functional Theory (DFT) approach and usednext as targets to adjust the k.p bands. A satisfactory agreement of the k.pmodel with the DFT band structures, for all the tested zinc blende III-Vsemiconductors, has been achieved. Values of many of the parameters have notbeen known so far. We also compare the fitted k.p parameters with the valuescalculated using momentum matrix elements obtained directly from the DFT.

Invariant expansion of the 30-band k.p model and its parameters for III-V compounds