By Donald C. Reynolds
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Additional info for Excitons. Their Properties and Uses
50) In order for the electric dipole transition to be allowed, the symmetry of the dipole moment operator has to be contained in the symmetries of the product. 51) corresponds to the T1 representation. If E is perpendicular to the crystal axis, W corresponds to the Γ 5 representation. Thus one sees that the ground state exciton with the hole from the Γ 9 symmetry is optically active only when E is perpendicular to the crystal axis. However, the exciton with its hole from the Γ 7 symmetry is optically active in both modes of incident light.
References 1. 2. 3. 4. 5. J. Frenkel, Phys. Rev. 37, 17 (1931). G. H. Wannier, Phys. Rev. 52, 191 (1937). R. S. , Suppl. 5 (1963). J. J. Hopfield and D. G. Thomas, J. Phys. Chem. Solids 12, 276 (1969). For example: G. Dresselhaus, Phys. Rev. 105, 135 (1957); J. L. Birman, Phys. Rev. Lett. 2, 157 (1959); R. C. Casella, Phys. Rev. 114, 1514 (1959); M. Balkanski and J. des Cloizeaux, J. Phys. Radium 21, 825 (1960). 6. J. J. Hopfield, J. Phys. Chem. Solids 15, 97 (1960). 7. R. G. Wheeler and J. O. Dimmock, Phys.
1) i=l J where Jt0 consists of the kinetic energy and the Coulomb energies; et is the charge on the ith-type particles and nt is the ith density. The change in density in the ith component caused by the second term of Eq. 2) f=l where <5w;(q, ω) is the Fourier transform of (5wf(x, i); Kixt(q, ω) is the Fourier transform of Vlext(x, i); an<3 Xij is the density-density response function similar to the Fourier transform of Eq. 41). 3b) where xl(q, ω) is the noninteracting polarizability of the ith component similar to Eq.
Excitons. Their Properties and Uses by Donald C. Reynolds