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

DOI DOI Web Site Web Site 被引用文献5件 参考文献139件 オープンアクセス

書誌事項

公開日
2015-03-16
資源種別
journal article
権利情報
  • http://link.aps.org/licenses/aps-default-license
DOI
  • 10.1103/physrevb.91.115129
  • 10.48550/arxiv.1412.5298
公開者
American Physical Society (APS)

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説明

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-Cooper-Schrieffer (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.

45 pages, 21 figures; nearly identical to the published version

収録刊行物

  • Physical Review B

    Physical Review B 91 (11), 115129-, 2015-03-16

    American Physical Society (APS)

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