Abstract

A theoretical treatment of the valence-band spectrum of wurtzite-type materials is developed starting from the Rashba-Sheka-Pikus (RSP) 6\ifmmode\times\else\texttimes\fi{}6 matrix Hamiltonian for coupled ${\mathrm{\ensuremath{\Gamma}}}_{9}$, ${\mathrm{\ensuremath{\Gamma}}}_{7}$, and ${\mathrm{\ensuremath{\Gamma}}}_{7}$ levels. A unitary transformation is applied in order to diagonalize the RSP Hamiltonian to two 3\ifmmode\times\else\texttimes\fi{}3 blocks and the results are compared with those obtained for cubic structures [C. Y.-P. Chao and S. L. Chuang, Phys. Rev. B 46, 4110 (1992)]. Using the diagonalized form of the Hamiltonian, a solution for hole states in wurtzite quantum wells (QW's) is constructed and explicit expressions for the QW valence subband edges are obtained. We suggest that parameters of the RSP Hamiltonian for w\"urtzite structures can be deduced from experimental observations of the energy separation between edges of the hole subbands in QW's. \textcopyright{} 1996 The American Physical Society.

Keywords

Wurtzite crystal structureHamiltonian (control theory)PhysicsQuantum wellValence (chemistry)Unitary transformationQuantum mechanicsValence bandWave functionCondensed matter physicsAtomic physicsMathematical physicsQuantumBand gapMathematicsDiffraction

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Publication Info

Year
1996
Type
article
Volume
53
Issue
4
Pages
1997-2009
Citations
85
Access
Closed

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Yu.M. Sіrenko, Ju‐Won Jeon, K. W. Kim et al. (1996). Envelope-function formalism for valence bands in wurtzite quantum wells. Physical review. B, Condensed matter , 53 (4) , 1997-2009. https://doi.org/10.1103/physrevb.53.1997

Identifiers

DOI
10.1103/physrevb.53.1997