Physical review. B, Solid state · 1970 · 249 citations · 23 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsSemiconductor MaterialsSolid State PhysicsCrystal Field TheoryElectronic Band StructureElectronic StructureElectronic Structure Of SolidsExchange InteractionsIi-vi SemiconductorsConductionConduction BandCrystal Field ParametersCrystal-field EffectsExchange ParametersExcitonsSpin ExchangeSpin Exchange Interactions
The effect of the spin-exchange interaction between electron and hole is investigated for the case of excitons originating from one of the $p$-like valence bands and an $s$-like conduction band, as is the case for IIb-VIb compounds. A general exciton matrix is constructed, starting from the work of Pikus. It includes spin-orbit, crystal-field, spin-exchange, and deformation-potential interactions. Use of this matrix then allows a theoretical fit to our experimental data which describes the shift of exciton levels under uniaxial pressure in ZnO, CdS, and CdSe. This fit results in the determination of six deformation potentials, two spin-orbit parameters, the crystal-field parameter, and the exchange parameter. The general theory, when adapted to the zinc-blende structure, allows us to fit our data on cubic ZnS and ZnSe, resulting in a determination of two deformation potentials and the spin-exchange parameter for each compound.
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A Rapidly Convergent Descent Method for Minimization
R. Fletcher, M. J. D. Powell · The Computer Journal · 1963 · 4.6K citations · Full text
The exciton spectrum of zinc oxide
D. G. Thomas · Journal of Physics and Chemistry of Solids · 1960 · 793 citations
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D. G. Thomas, J. J. Hopfield · Physical Review · 1959 · 384 citations