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20144384436
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note
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In general, Green's functions and self-energies depend on two quantum numbers α, β. For the situation described in this paper, off-diagonal contributions can be neglected, which has been verified numerically; see also (Refs. 4 and 13).
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19
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20144380880
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note
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Comparison with an alternative method supports this statement: the first term of a cumulant expansion, which is known to be exact for the independent Boson model (Ref. 15), agrees well with the RPA for quasicontinuous electronic states.
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22
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20144363136
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note
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The quantum-kinetic equation provides energy-conserving scattering processes only in the long-time limit. The corresponding spectral function in Fig. 1 is obtained from a complete Fourier transform whereas on a short timescale the peaks shown there are only partially emerged (since only a finite-time contribution of the retarded GF enters in the quantum-kinetic equation at a given time.)
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23
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0000841912
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For small carrier densities, we use the polaron GF for the electron vacuum since it is weakly influenced by population effects, see P. Gartner, L. Bányai, and H. Haug, Phys. Rev. B 60, 14234 (1999).
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Gartner, P.1
Bányai, L.2
Haug, H.3
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