Abstract
A theory describing the formation of condensed-phase regions at a high concentration of excitons in a quantum well is constructed. The condensed phase can be either an exciton or an electron-hole liquid. When the condensed phase and exciton gas coexist, islands of the condensed phase have the shape of disks. A simultaneous solution to the kinetic equation (determining the island sizes) and the diffusion equation for excitons outside the islands is obtained for stationary pumping. It is assumed that the exciton gas is nondegenerate outside the islands. The mutual influence of islands through the concentration fields of excitons is taken into account assuming that the mean radius of islands substantially exceeds the mean distance between them. The radius distribution and concentration of islands are determined as functions of the rate of exciton production and the parameters of the system. It is found that the radius distribution of islands is broadened near the threshold of formation of the condensed phase.
Similar content being viewed by others
References
T. Fukuzawa, E. E. Mendez, and J. M. Hohg, Phys. Rev. Lett. 64, 3066 (1990).
L. V. Butov, A. Zrenner, G. A. Abstreiter, et al., Phys. Rev. Lett. 64, 3066 (1994).
L. V. Butov, A. C. Gossard, and D. S. Chemla, Nature 418, 751 (2002).
D. Snoke, S. Donev, Y. Liu, L. Pfeiffer, and K. West, Nature 418, 754 (2002).
A. V. Larionov, V. B. Timofeev, J. Hvam, and K. Soerensen, Pis’ma Zh. Éksp. Teor. Fiz. 75, 233 (2002) [JETP Lett. 75, 200 (2002)].
B. M. Ashkinadze, V. Voznyy, E. Cohen, A. Ron, and V. Umansky, Phys. Rev. B 65, 073311 (2002).
A. A. Dremin, A. V. Larionov, and V. B. Timofeev, Fiz. Tverd. Tela (St. Petersburg) 46, 168 (2004) [Phys. Solid State 46, 170 (2004)].
Yu. E. Lozovik and O. L. Berman, Pis’ma Zh. Éksp. Teor. Fiz. 64, 526 (1996) [JETP Lett. 64, 573 (1996)].
H. Chu and Y. C. Chang, Europhys. Lett. 35, 535 (1996).
P. B. Littlewood and Zhu Xuejun, Phys. Scr. T 68, 56 (1996).
P. Stenius, W. Zhao, and A. Imamoglu, Phys. Status Solidi A 164, 365 (1997).
Z. G. Koinov, J. Phys.: Condens. Matter 11, L127 (1999).
Kuan-Ming Hung, Chun-Wei Tseng, and H.-H. Cheng, Physica B (Amsterdam) 298, 431 (2001).
R. N. Silver, Phys. Rev. B 11, 1569 (1975).
V. S. Bagaev, N. V. Zamkovets, L. V. Keldysh, N. N. Sibel’din, and V. A. Tsvetkov, Zh. Éksp. Teor. Fiz. 70, 1501 (1976) [Sov. Phys. JETP 43, 783 (1976)].
R. M. Westerwelt, Phys. Status Solidi B 74, 727 (1976).
V. I. Sugakov, Mol. Cryst. Liq. Cryst. 384, 1 (2002).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Tverdogo Tela, Vol. 46, No. 8, 2004, pp. 1455–1459.
Original Russian Text Copyright © 2004 by Sugakov.
Rights and permissions
About this article
Cite this article
Sugakov, V.I. Size distribution and concentration of islands of a condensed exciton phase in a quantum well. Phys. Solid State 46, 1496–1501 (2004). https://doi.org/10.1134/1.1788785
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1788785