Commutation technique for interacting close-to-boson excitons

European Physical Journal B

Volumn 27, Issue 4, 2002, Pages 505-516

  Betbeder Matibet, O ^a   Combescot, M ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

71.35. y Excitons and related phenomena

Indexed keywords

EID: 0010156424     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2002-00184-y     Document Type: Article

References (15)

1. See for instance: H. Haug, S. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors (World Scientific, London, 1990)
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4. V.M. Axt, S. Mukamel, Rev. Mod. Phys. 70, 145 (1998)
5. T. Meier, S.W. Koch, Phys. Rev. B 59, 13202 (1999)
6. See for instance: A. Klein, E.R. Marshalek, Rev. Mod. Phys. 63, 375 (1991)
7. See for instance: H. Haug, S. Schmitt-Rink, Progr. Quant. Electron. 9, 3 (1984); more precisely their equations (5, 7, 9)
8. M. Combescot, O. Betbeder-Matibet, Europhys. Lett. 58, 87 (2002)
9. i (see our Eq. (56))
10. A recent work by S. Ben-Tabou de Leon, B. Laikhtman, Phys. Rev. B 63, 125306 (2001), uses a new bosonisation procedure. It is still incorrect as it relies on a separation between a subspace with all the excitons in the ground state and a subspace with at least one exciton in an excited state. Such a separation is meaningless due to our equation (34)
11. C. Ciuti, V. Savona, C. Piermarocci, A. Quattropani, P. Schwendimann, Phys. Rev. B 58, 7926 (1998)
12. J.M. Luttinger, W. Kohn, Phys. Rev. 97, 969 (1955)
13. J.M. Luttinger, Phys. Rev. 102, 1030 (1956)
14. M. Combescot, P. Nozières, Solid State Com. 10, 301 (1972)
15. dir(q) introduced by Ciuti et al. [11] in their equation (12). By inserting our equations (68) and (79) into our equation (23), we recover the result they give in their equations (19-20)