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Electron correlations in quantum and classical plasmas in a layered structure

Journal Article


Abstract


  • We present a theoretical calculation of electron correlations in quantum and classical plasmas in a layered structure. This treatment rests on the solution of the first member of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and the fluctuation-dissipation theorem. For arbitrary wave number this leads to a set of coupled integral equations which has to be solved self-consistently. In the long-wavelength limit it is found that the phase velocity of the collective excitation is renormalized due to short-range correlations. Our result is an extension of the earlier theory of K. S. Singwi et al. [Phys. Rev. 176, 589 (1968)] for bulk plasmas to the case of a layered electron gas. Our numerical results show that the correlation function for a layered structure is an oscillatory function of the lattice period, which reflects the interference between the density fluctuations in different layers. © 1988 The American Physical Society.

Publication Date


  • 1988

Citation


  • Zhang, C., & Tzoar, N. (1988). Electron correlations in quantum and classical plasmas in a layered structure. Physical Review A, 38(11), 5786-5792. doi:10.1103/PhysRevA.38.5786

Scopus Eid


  • 2-s2.0-0001420870

Start Page


  • 5786

End Page


  • 5792

Volume


  • 38

Issue


  • 11

Abstract


  • We present a theoretical calculation of electron correlations in quantum and classical plasmas in a layered structure. This treatment rests on the solution of the first member of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and the fluctuation-dissipation theorem. For arbitrary wave number this leads to a set of coupled integral equations which has to be solved self-consistently. In the long-wavelength limit it is found that the phase velocity of the collective excitation is renormalized due to short-range correlations. Our result is an extension of the earlier theory of K. S. Singwi et al. [Phys. Rev. 176, 589 (1968)] for bulk plasmas to the case of a layered electron gas. Our numerical results show that the correlation function for a layered structure is an oscillatory function of the lattice period, which reflects the interference between the density fluctuations in different layers. © 1988 The American Physical Society.

Publication Date


  • 1988

Citation


  • Zhang, C., & Tzoar, N. (1988). Electron correlations in quantum and classical plasmas in a layered structure. Physical Review A, 38(11), 5786-5792. doi:10.1103/PhysRevA.38.5786

Scopus Eid


  • 2-s2.0-0001420870

Start Page


  • 5786

End Page


  • 5792

Volume


  • 38

Issue


  • 11