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Luttinger parameter : ウィキペディア英語版
Luttinger parameter
In semiconductors, valence bands are well characterized by 3 Luttinger parameters. At the ''Г''-point in the band structure, p_ and p_ orbitals form valence bands. But spin-orbit coupling splits sixfold degeneracy into high energy 4-fold and lower energy 2-fold bands. Again 4-fold degeneracy is lifted into heavy- and light hole bands by phenomenological Hamiltonian by J. M. Luttinger.
==Three valence band state==
In the presence of spin-orbit interaction, total angular momentum should take part in. From the three valence band, l=1 and s=1/2 state generate six state of |j,mj> as |, \pm \rangle, |, \pm \rangle, |, \pm \rangle
The spin-orbit interaction from the relativistic quantum mechanics, lowers the energy of j=1/2 states down.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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