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Spin Splitting in Bulk Wurtzite Materials and Their Quantum Wells

The spin-splitting energies in strained bulk wurtzite aluminum nitride (AlN) are studied using the linear combination of atomic orbital method. It is found that strain and crystal field induce not only a linear-k (£\wz ) but also two cubic-k terms (£^¡¦and £f¡¦ ) in the two-band k¡Dp Hamiltonian Hso=(£\wz-£^¡¦k2//+£f¡¦k2z)(£mxky-£mykx)+H0so, where H0so=(-£^0k2//+£f0k2z)(£mxky-£mykx) is for ideal wurtzite and generates a cone-shaped minimum-spin-splitting (MSS) surface. As biaxial strain increases, the shape of the MSS surface changes from a hexagonal hyperboloid of two sheets in unstrained AlN to a hexagonal cone, and eventually becomes a hyperboloid of one sheet.
The spin-splitting energies of first conduction band for A-plane and M-plane wurtzite are calculated by the sp3 linear combination of atomic orbital (LCAO). The results show the spin-splitting energies are dominated by linear-k term but contribution of cubic-k terms can not be neglected for larger k//. The parameter of linear-k and cubic-k terms are evaluated from the LCAO calculated spin-splitting energies fitting to two band k¡Ep model as increasing well width. The coefficients of linear-k and cubic-k terms decrease.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0801111-142618
Date01 August 2011
CreatorsWu, Chieh-lung
ContributorsIkai Lo, De-hone Lin, Meng-en Lee, Yan-ten Lu, Wang-chuang Kuo
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0801111-142618
Rightsunrestricted, Copyright information available at source archive

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