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Derivation of the linear optical conductivity for electron-phonon interactions in solids by using the revised combined projection technique

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Abstract

A revised version of the combined projection technique introduced earlier by the present authors [J. Korean Phys. Soc. 59, 3372 (2011)] is introduecd and is applied to deriving the linear optical conductivity containing the linewidth function for optical transitions of electrons interacting with phonons in solids. The result is shown to satisfy the population criterion which claims that the Fermi distribution functions for electrons and the Planck distribution functions for phonons should be combined in multiplicative forms in the many-body formalism. The main part of the result is further shown to be indentical with that obtained by using the projection-reduction method [Progr. Theor. Phys. 96, 307 (1996)].

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References

  1. H. Mori, Progr. Theor. Phys. 33, 423 (1965).

    Article  ADS  MATH  Google Scholar 

  2. H. Mori, Progr. Theor. Phys. 34, 399 (1966).

    Article  ADS  Google Scholar 

  3. A. Kawabata, J. Phys. Soc. Jpn. 23, 999 (1967).

    Article  ADS  Google Scholar 

  4. R. W. Zwanzig, in Lectures in Theoretical Physics, edited by W. E. Kowns and J. Kowns, Vol. III (Interscience, New York, 1961).

  5. V. M. Kenkre and M. Dresden, Phys. Rev. Lett. 29, 9 (1971).

    Article  ADS  Google Scholar 

  6. P. N. Argyres and J. L. Sigel, Phys. Rev. Lett. 31, 1397 (1973).

    Article  ADS  Google Scholar 

  7. S. Badjou and P. N. Argyres, Phys. Rev. B 35, 5964 (1987).

    Article  ADS  Google Scholar 

  8. Y. J. Cho and S. D. Choi, Phys. Rev. B 47, 9273 (1993).

    Article  ADS  Google Scholar 

  9. S. D. Choi and O. H. Chung, Solid State Commun. 46, 717 (1983).

    Article  ADS  Google Scholar 

  10. J. Y. Sug, N. L. Kang and S. D. Choi, J. Korean Phys. Soc. 25, 356 (1992).

    Google Scholar 

  11. Y. J. Lee, S. N. Yi and S. D. Choi, J. Korean Phys. Soc. 27, 195 (1994).

    Google Scholar 

  12. N. L. Kang and S. D. Choi, Progr. Theor. Phys. 96, 307 (1996).

    Article  ADS  Google Scholar 

  13. N. L. Kang and S. D. Choi, J. Phys. A: Math. Theor. 43, 165203 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  14. N. L. Kang and S. D. Choi, Progr. Theor. Phys. 125, 1011 (2011).

    Article  ADS  MATH  Google Scholar 

  15. N. L. Kang and S. D. Choi, J. Mod. Phys. 2, 1410 (2011).

    Article  Google Scholar 

  16. N. L. Kang and S. D. Choi, AIP Advances 2, 012161 (2012).

    Article  ADS  Google Scholar 

  17. Y. J. Lee and S. D. Choi, J. Korean Phys. Soc. 59, 3372 (2011).

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Physics Education, Kyungpook National University, Daegu, 702-701, Korea

    Youn Ju Lee

  2. Department of Physics, Kyungpook National University, Daegu, 702-701, Korea

    Sang Don Choi

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  1. Youn Ju Lee
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  2. Sang Don Choi
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Correspondence to Sang Don Choi.

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Lee, Y.J., Choi, S.D. Derivation of the linear optical conductivity for electron-phonon interactions in solids by using the revised combined projection technique. Journal of the Korean Physical Society 64, 69–73 (2014). https://doi.org/10.3938/jkps.64.69

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  • DOI: https://doi.org/10.3938/jkps.64.69

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