Biexcitons in two-dimensional systems with spatially separated electrons and holes

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 23, 2008, Pages

  Meyertholen, A D ^a   Fogler, M M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149163138     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.235307     Document Type: Article

References (57)

1. M. Hagn, A. Zrenner, G. Böhm, and G. Weimann, Appl. Phys. Lett. 67, 232 (1995). 10.1063/1.114677
2. A. V. Larionov, V. B. Timofeev, J. Hvam, and K. Soerensen, Zh. Eksp. Teor. Fiz. 117, 1255 (2000) 10.1134/1.559200
3. A. V. Larionov, V. B. Timofeev, J. Hvam, and K. Soerensen, [JETP 90, 1093 (2000)]. 10.1134/1.559200
4. L. V. Butov, A. C. Gossard, and D. S. Chemla, Nature (London) 418, 751 (2002). 10.1038/nature00943
5. Z. Vörös, R. Balili, D. W. Snoke, L. Pfeiffer, and K. West, Phys. Rev. Lett. 94, 226401 (2005). 10.1103/PhysRevLett.94.226401
6. A. L. Ivanov, L. E. Smallwood, A. T. Hammack, Sen Yang, L. V. Butov, and A. C. Gossard, Europhys. Lett. 73, 920 (2006). 10.1209/epl/i2006-10002-4
7. A. A. High, E. E. Novitskaya, L. V. Butov, M. Hanson, and A. C. Gossard, Science 321, 229 (2008). 10.1126/science.1157845
8. S. Yang, A. T. Hammack, M. M. Fogler, L. V. Butov, and A. C. Gossard, Phys. Rev. Lett. 97, 187402 (2006) 10.1103/PhysRevLett.97.187402
9. M. M. Fogler, Sen Yang, A. T. Hammack, L. V. Butov, and A. C. Gossard, Phys. Rev. B 78, 035411 (2008). 10.1103/PhysRevB.78.035411
10. L. V. Butov, J. Phys.: Condens. Matter 19, 295202 (2007). 10.1088/0953-8984/19/29/295202
11. R. C. Miller, D. A. Kleinman, A. C. Gossard, and O. Munteanu, Phys. Rev. B 25, 6545 (1982). 10.1103/PhysRevB.25.6545
12. R. T. Phillips, D. J. Lovering, G. J. Denton, and G. W. Smith, Phys. Rev. B 45, 4308 (1992). 10.1103/PhysRevB.45.4308
13. S. Bar-Ad and I. Bar-Joseph, Phys. Rev. Lett. 68, 349 (1992). 10.1103/PhysRevLett.68.349
14. D. Birkedal, J. Singh, V. G. Lyssenko, J. Erland, and J. M. Hvam, Phys. Rev. Lett. 76, 672 (1996). 10.1103/PhysRevLett.76.672
15. S. Adachi, T. Miyashita, S. Takeyama, Y. Takagi, A. Tackeuchi, and M. Nakayama, Phys. Rev. B 55, 1654 (1997). 10.1103/PhysRevB.55.1654
16. J. C. Kim and J. P. Wolfe, Phys. Rev. B 57, 9861 (1998). 10.1103/PhysRevB.57.9861
17. W. Langbein and J. M. Hvam, Phys. Status Solidi A 190, 167 (2002). 10.1002/1521-396X(200203)190:1<167::AID-PSSA167>3.0.CO;2-I
18. M. Maute, S. Wachter, H. Kalt, K. Ohkawa, and D. Hommel, Phys. Rev. B 67, 165323 (2003). 10.1103/PhysRevB.67.165323
19. M. Y. J. Tan, N. D. Drummond, and R. J. Needs, Phys. Rev. B 71, 033303 (2005). 10.1103/PhysRevB.71.033303
20. L. V. Butov and A. I. Filin, Phys. Rev. B 58, 1980 (1998). 10.1103/PhysRevB.58.1980
21. D. Bressanini, M. Mella, and G. Morosi, Phys. Rev. A 57, 4956 (1998). 10.1103/PhysRevA.57.4956
22. J. Usukura, Y. Suzuki, and K. Varga, Phys. Rev. B 59, 5652 (1999). 10.1103/PhysRevB.59.5652
23. C. Riva, F. M. Peeters, K. Varga, and V. A. Schweigert, Phys. Status Solidi B 234, 50 (2002), and references therein. 10.1002/1521-3951(200211)234: 1<50::AID-PSSB50>3.0.CO;2-R
24. Y. E. Lozovik and O. L. Berman, Zh. Eksp. Teor. Fiz. 111, 1879 (1997) 10.1134/1.558220
25. Y. E. Lozovik and O. L. Berman, [JETP 84, 1027 (1997)]. 10.1134/1.558220
26. S. Ben-Tabou de-Leon and B. Laikhtman, Europhys. Lett. 59, 728 (2002). 10.1209/epl/i2002-00186-5
27. Ch. Schindler and R. Zimmermann, Phys. Rev. B 78, 045313 (2008) 10.1103/PhysRevB.78.045313
28. R. Zimmermann and Ch. Schindler, Solid State Commun. 144, 395 (2007). 10.1016/j.ssc.2007.07.044
29. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Nonrelativistic Theory (Pergamon, New York, 1965).
30. K. Varga and Y. Suzuki, Phys. Rev. C 52, 2885 (1995). 10.1103/PhysRevC.52.2885
31. Y. Suzuki and K. Varga, Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems, Lecture Notes in Physics Vol. M54 (Springer, Berlin, 1998), pp. 1-310.
32. I. S. Gradshteyn and I. M. Ryzhik, in Table of Integrals, Series, and Products, 6th ed., edited by, A. Jeffrey, and, D. Zwillinger, (Academic, San Diego, 2000).
33. D. Bollé and F. Gesztesy, Phys. Rev. Lett. 52, 1469 (1984) 10.1103/PhysRevLett.52.1469
34. D. Bollé and F. Gesztesy, Phys. Rev. A 30, 1279 (1984). 10.1103/PhysRevA.30.1279
35. M. Born and J. R. Oppenheimer, Ann. Phys. 84, 457 (1927). 10.1002/andp.19273892002
36. M. Born, Festschrift Göttinger Akademie der Wissenschaften, I: Math.-Phys. Klasse 1 (1951)
37. M. Born and H. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, New York, 1998).
38. To this end one can iteratively diagonalize the four-body biexciton Hamiltonian HXX by a sequence of canonical transformations (Refs.). Equivalently, in the Lagrangian formalism, one would integrate out two out of four fermion degrees of freedom. This generates corrections to the potential and kinetic terms of Eq. 36.
39. J. Adamowski, S. Bednarek, and M. Suffczynski, Solid State Commun. 9, 2037 (1971). 10.1016/0038-1098(71)90355-3
40. K. Varga and Y. Suzuki, Comput. Phys. Commun. 106, 157 (1997) 10.1016/S0010-4655(97)00059-3
41. the companion computer program is available at the CPC Program Library, online at http://www.cpc.cs.qub.ac.uk
42. S. Okumura and T. Ogawa, Phys. Rev. B 65, 035105 (2001). 10.1103/PhysRevB.65.035105
43. Ch. Schindler and R. Zimmermann, private communication.
44. R. T. Pack and J. O. Hirschfelder, J. Chem. Phys. 52, 521 (1970). 10.1063/1.1673017
45. M. N. Saha, Proc. R. Soc. London, Ser. A, 99, 135 (1921). 10.1098/rspa.1921.0029
46. L. V. Butov, A. L. Ivanov, A. Imamoglu, P. B. Littlewood, A. A. Shashkin, V. T. Dolgopolov, K. L. Campman, and A. C. Gossard, Phys. Rev. Lett. 86, 5608 (2001). 10.1103/PhysRevLett.86.5608
47. L. V. Butov, A. V. Mintsev, Yu. E. Lozovik, K. L. Campman, and A. C. Gossard, Phys. Rev. B 62, 1548 (2000). 10.1103/PhysRevB.62.1548
48. L. Schultheis, K. Köhler, and C. W. Tu, Phys. Rev. B 36, 6609 (1987). 10.1103/PhysRevB.36.6609
49. A. T. Hammack, N. A. Gippius, Sen Yang, G. O. Andreev, L. V. Butov, M. Hanson, and A. C. Gossard, J. Appl. Phys. 99, 066104 (2006). 10.1063/1.2181276
50. E. Anisimovas and F. M. Peeters, Phys. Rev. B 71, 115319 (2005). 10.1103/PhysRevB.71.115319
51. E. Anisimovas and F. M. Peeters, Phys. Rev. B 74, 245326 (2006). 10.1103/PhysRevB.74.245326
52. A. Filinov, M. Bonitz, P. Ludwig, and Yu. E. Lozovik, Phys. Status Solidi C 3, 2457 (2006). 10.1002/pssc.200668038
53. Ph. Briet, J. M. Combes, and P. Duclos, Commun. Math. Phys. 126, 133 (1989). 10.1007/BF02124334
54. M. V. Berry and A. M. Ozorio de Almeida, J. Phys. A 6, 1451 (1973). 10.1088/0305-4470/6/10/005
55. S. C. Miller and R. H. Good, Phys. Rev. 91, 174 (1953). 10.1103/PhysRev.91.174
56. P. R. Bunker and R. E. Moss, Mol. Phys. 33, 417 (1977). 10.1080/00268977700100351
57. S. Weigert and R. G. Littlejohn, Phys. Rev. A 47, 3506 (1993). 10.1103/PhysRevA.47.3506