Multiple band electron-phonon transport theory

Kragler, Robert

doi:10.1016/0378-4371(80)90059-x

Cited by 4 publications

(2 citation statements)

References 27 publications

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“…In this context, another main purpose in this paper is to give a comprehensive generating functional theory [82][83][84][85][86] that yields NEGFs systematically in a time-dependent manner. [87][88][89] As a result, we show that the unknown variables in the MSBEs should evolve simultaneously with the time-dependent band renormalization, at least in principle. This is quite natural for theorists because the NEGF approach originally describes the evolutions of the retarded, advanced, and Keldysh Green's functions (GFs); the retarded and advanced GFs correspond to the band renormalization effects, while the Keldysh GF describes the distributions.…”

Section: Introductionmentioning

confidence: 74%

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Generating functional approach for spontaneous coherence in semiconductor electron-hole-photon systems

Yamaguchi¹,

Nii²,

Kamide³

et al. 2015

Phys. Rev. B

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Electrons, holes, and photons in semiconductors are interacting fermions and bosons. In this system, a variety of ordered coherent phases can be formed through the spontaneous phase symmetry breaking because of their interactions. The Bose-Einstein condensation (BEC) of excitons and polaritons is one of such coherent phases, which can potentially crossover into the Bardeen-CooperSchrieffer (BCS) type ordered phase at high densities under quasi-equilibrium conditions, known as the BCS-BEC crossover. In contrast, one can find the semiconductor laser, superfluorescence (SF), and superradiance as relevant phenomena under nonequilibrium conditions. In this paper, we present a comprehensive generating functional theory that yields nonequilibrium Green's functions in a rigorous way. The theory gives us a starting point to discuss these phases in a unified view with a diagrammatic technique. Comprehensible time-dependent equations are derived within the Hartree-Fock approximation, which generalize the Maxwell-Semiconductor-Bloch equations under the relaxation time approximation. With the help of this formalism, we clarify the relationship among these cooperative phenomena and we show theoretically that the Fermi-edge SF is directly connected to the e-h BCS phase. We also discuss the emission spectra as well as the gain-absorption spectra.

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Section: Introductionmentioning

confidence: 74%

“…As a next step, we therefore explain the way to formally obtain the self-energies in our formalism by using the chain rule of the functional derivative. [82][83][84][85][86][87][88][89] For this purpose, it is convenient to introduce the inverse of the single-particle GF G −1 C that satisfies (96) in the same manner as Eq. (73).…”

Section: Single-particle Gfmentioning

confidence: 99%