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Semiconductor Physics, Quantum Electronics & Optoelectronics. 2005. V. 8, N 2. P. 028-031.
Basic peculiarities of energy band spectra within generalized
Kildal’s model for semiconductors with one main axis
Kherson National Technical University, Department of General and Applied Physics
24, Beryslavske shosse, 73008 Kherson, Ukraine, e-mail: chuiko@public.kherson.ua
Abstract. The analysis of the basic features of the generalized Kildal model had been
presented for the semiconductors without the center of symmetry and with one main
crystal axis. It had been proved, that the Kramers’ degeneration survives only along and
against of the direction of the main crystal axis and at point Γ ( k = 0 ) within this model
under the condition of the absence of the center of symmetry, as rule. The Kramers’
degeneration is possible everywhere, although only for the band of the heavy holes like
within Kane’s model, even under the previous condition, but only if casually takes place
the special relation between parameters. The typical set of solutions within this model
consists of one conductivity band ( ε ≥ 0 ) and of three valence bands (ε ≤ 0 ). Each of
them contains two spin subbands. The additional conductivity band would be possible in
principle, but only under special condition (δ <: 0 ), which is the obligatory but not
enough condition.
Keywords: senergy bands, degeneration, Kramers, splitting, spin sub-bands.
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