Contribution to the Theory of Metallic State in Electron-Hole System. II
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概要
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For the metallic state of an electron-hole gas, the average energy per an electron-hole pair and the pair correlation functions are calculated beyond the random phase approximation by taking into account the effects of the exchange and the electron-hole scattering corrections. Here we introduce a variational method, in which the Fourier components of the correlations between any kinds of particles are chosen as the variational parameters for each value of the wave vector. These parameters are determined by minimizing the total energy calculated in r.p.a. On the basis of the results in r.p.a., exchange and scattering corrections are evaluated by perturbational method. As a result, the applicabiliy of our results is extended to the concentration region as low as r_s≃2. The results of our calculation show that the minimum of the average energy amounts to E_g-1.00E^b_<ex> at r_s≃2 and that the effects of the scattering correction between electrons and holes are fairly large even in the metallic system.
- 社団法人日本物理学会の論文
- 1973-09-05
著者
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Inoue Masahiro
Institute for Materials Research, Tohoku University
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Hanamura Eiichi
Institute For Solid State Physics University Of Tokyo
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HANAMURA Eiichi
Institute for Solid State Physics, University of Tokyo
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