The diagonalization of the two-body Hamiltonian has been performed by the Green function method and the polariton spectrum has been found. The result is analogous to that found by the Bogolyubov-Tyablikov method of diagonalization. Besides, the spectrum of Bose-Einstein condensate (BEC) of the excitons has been calculated. It is shown how the spectrum of polaritons is re-normalized when the BEC excitons are present.
| Published in | Journal of Photonic Materials and Technology (Volume 1, Issue 1) |
| DOI | 10.11648/j.jmpt.20150101.12 |
| Page(s) | 10-14 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Polariton, Exciton, Bose-Einstein Condensate, Green Function, Spectrum
| [1] | S.A. Moskalenko. Fiz. Tverd. Tela, vol. 4, p. 276, 1962. |
| [2] | S.A. Moskalenko. Bose-Einstein condensation of excitons and biexcitons. – Chisinau. Shtiintsa. 1970. 166 pp. |
| [3] | J.M. Blatt, K.W. B ̈oer, and W. Brandt. Phys. Rev., vol. 126, p. 1691, 1962. |
| [4] | Casella, R.C. Source. Journal of the Physics and Chemistry of Solids, vol. 24, p 19-26, 1963. |
| [5] | L.V. Keldysh and A.N. Kozlov. Zh. Exsp. Teor. Fiz. Pis’ma, vol. 5, p. 238, 1967. |
| [6] | L.V. Keldysh and A.N. Kozlov. Zh. Exsp. Teor. Fiz. 54, 978 (1968) [Sov. Phys. JETP 27, 521 (1968).] |
| [7] | Chen Liang, Kong Wei, B.J. Ye, H.M. Wen, X.Y. Zhou, and R.D. Han. Fizika Nizkikh Temperatur, , vol. 37, pp. 708–714, 2011. |
| [8] | I.H. Hakobyan, E.F. Gross, B.S. Razbirin. JETP Letters, vol. 12, p.366, 1970 |
| [9] | M.S. Brodin, D.V. Goer, M.G. Macko. JETP Letters, vol.20, p. 300, 1974. |
| [10] | M. E. Flatte, E. Runge, H. Ehrenreich. Appl. Phys. Lett., vol. 66, pp.1313-1315, 1995. |
| [11] | A. A. High, J. R. Leonard, M. Remeika, L. V. Butov, M. Hanson, and A. C. Gossard. Nano Lett., vol. 12 (5), pp 2605–2609, 2012. |
| [12] | V.M. Agranovich. The theory of excitons.М., Nauka, 1968. 328 p. |
| [13] | A.A. Abrikosov L.P. Gorkov, I.E. Dzyaloshinskii. Methods of quantum field theory in statistical physics. Moskwa, GIFML 1962, 443 p. |
| [14] | S.T. Belyaev. JETP, vol.34, pp. 417-432, 1958. |
APA Style
Yu. D. Zavorotnev, O. Yu. Popova. (2015). Polariton Spectrum Subject to Bose-Einstein Condensate of Excitons. Journal of Photonic Materials and Technology, 1(1), 10-14. https://doi.org/10.11648/j.jmpt.20150101.12
ACS Style
Yu. D. Zavorotnev; O. Yu. Popova. Polariton Spectrum Subject to Bose-Einstein Condensate of Excitons. J. Photonic Mater. Technol. 2015, 1(1), 10-14. doi: 10.11648/j.jmpt.20150101.12
AMA Style
Yu. D. Zavorotnev, O. Yu. Popova. Polariton Spectrum Subject to Bose-Einstein Condensate of Excitons. J Photonic Mater Technol. 2015;1(1):10-14. doi: 10.11648/j.jmpt.20150101.12
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.jmpt.20150101.12,
author = {Yu. D. Zavorotnev and O. Yu. Popova},
title = {Polariton Spectrum Subject to Bose-Einstein Condensate of Excitons},
journal = {Journal of Photonic Materials and Technology},
volume = {1},
number = {1},
pages = {10-14},
doi = {10.11648/j.jmpt.20150101.12},
url = {https://doi.org/10.11648/j.jmpt.20150101.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jmpt.20150101.12},
abstract = {The diagonalization of the two-body Hamiltonian has been performed by the Green function method and the polariton spectrum has been found. The result is analogous to that found by the Bogolyubov-Tyablikov method of diagonalization. Besides, the spectrum of Bose-Einstein condensate (BEC) of the excitons has been calculated. It is shown how the spectrum of polaritons is re-normalized when the BEC excitons are present.},
year = {2015}
}
TY - JOUR T1 - Polariton Spectrum Subject to Bose-Einstein Condensate of Excitons AU - Yu. D. Zavorotnev AU - O. Yu. Popova Y1 - 2015/07/02 PY - 2015 N1 - https://doi.org/10.11648/j.jmpt.20150101.12 DO - 10.11648/j.jmpt.20150101.12 T2 - Journal of Photonic Materials and Technology JF - Journal of Photonic Materials and Technology JO - Journal of Photonic Materials and Technology SP - 10 EP - 14 PB - Science Publishing Group SN - 2469-8431 UR - https://doi.org/10.11648/j.jmpt.20150101.12 AB - The diagonalization of the two-body Hamiltonian has been performed by the Green function method and the polariton spectrum has been found. The result is analogous to that found by the Bogolyubov-Tyablikov method of diagonalization. Besides, the spectrum of Bose-Einstein condensate (BEC) of the excitons has been calculated. It is shown how the spectrum of polaritons is re-normalized when the BEC excitons are present. VL - 1 IS - 1 ER -
Information
Email: