Nonlinear optical study of the Fermi edge singularity: Differences from atomic excitons in the virtual excitation regime

Journal of the Optical Society of America B: Optical Physics

Volumn 13, Issue 6, 1996, Pages 1313-1325

  Perakis, E ^a   Brener, I ^b   Knox, W H ^b   Chemla, D S ^c  

^a VANDERBILT UNIVERSITY   (United States)

^b LUCENT TECHNOLOGIES   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3843143145     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.13.001313     Document Type: Article

References (58)

1. G. D. Mahan, in Fermi Surface Effects, J. Kondo and A. Yoshimori, eds. (Springer-Verlag, Berlin, 1988); Phys. Rev. 153, 882 (1967); 163, 612 (1967); K. Ohtaka and Y. Tanabe, Rev. Mod. Phys. 62, 929 (1990), and references therein.
2. G. D. Mahan, in Fermi Surface Effects, J. Kondo and A. Yoshimori, eds. (Springer-Verlag, Berlin, 1988); Phys. Rev. 153, 882 (1967); 163, 612 (1967); K. Ohtaka and Y. Tanabe, Rev. Mod. Phys. 62, 929 (1990), and references therein.
3. G. D. Mahan, in Fermi Surface Effects, J. Kondo and A. Yoshimori, eds. (Springer-Verlag, Berlin, 1988); Phys. Rev. 153, 882 (1967); 163, 612 (1967); K. Ohtaka and Y. Tanabe, Rev. Mod. Phys. 62, 929 (1990), and references therein.
4. G. D. Mahan, in Fermi Surface Effects, J. Kondo and A. Yoshimori, eds. (Springer-Verlag, Berlin, 1988); Phys. Rev. 153, 882 (1967); 163, 612 (1967); K. Ohtaka and Y. Tanabe, Rev. Mod. Phys. 62, 929 (1990), and references therein.
5. M. S. Skolnick, J. M. Rorison, K. J. Nash, D. J. Mowbray, P. R. Tapster, S. J. Bass, and A. D. Pitt, Phys. Rev. Lett. 58, 2130 (1987); G. Livescu, D. A. B. Miller, D. S. Chemla, M. Ramaswamy, T. Y. Chang, N. Sauer, A. C. Gossard, and J. H. English, IEEE J. Quantum Electron. 24, 1677 (1988); W. Chen, M. Fritze, W. Walecki, A. Nurmikko, D. Ackley, M. Hong, L. L. Chang, Phys. Rev. B 45, 8464 (1992); J. M. Calleja, A. R. Goni, B. S. Dennis, J. S. Weiner, A. Pinczuk, S. Schmitt-Rink, L. N. Pfeiffer, K. West, J. F. Muller, and A. E. Ruckenstein, Solid State Commun. 79, 911 (1991).
6. M. S. Skolnick, J. M. Rorison, K. J. Nash, D. J. Mowbray, P. R. Tapster, S. J. Bass, and A. D. Pitt, Phys. Rev. Lett. 58, 2130 (1987); G. Livescu, D. A. B. Miller, D. S. Chemla, M. Ramaswamy, T. Y. Chang, N. Sauer, A. C. Gossard, and J. H. English, IEEE J. Quantum Electron. 24, 1677 (1988); W. Chen, M. Fritze, W. Walecki, A. Nurmikko, D. Ackley, M. Hong, L. L. Chang, Phys. Rev. B 45, 8464 (1992); J. M. Calleja, A. R. Goni, B. S. Dennis, J. S. Weiner, A. Pinczuk, S. Schmitt-Rink, L. N. Pfeiffer, K. West, J. F. Muller, and A. E. Ruckenstein, Solid State Commun. 79, 911 (1991).
7. M. S. Skolnick, J. M. Rorison, K. J. Nash, D. J. Mowbray, P. R. Tapster, S. J. Bass, and A. D. Pitt, Phys. Rev. Lett. 58, 2130 (1987); G. Livescu, D. A. B. Miller, D. S. Chemla, M. Ramaswamy, T. Y. Chang, N. Sauer, A. C. Gossard, and J. H. English, IEEE J. Quantum Electron. 24, 1677 (1988); W. Chen, M. Fritze, W. Walecki, A. Nurmikko, D. Ackley, M. Hong, L. L. Chang, Phys. Rev. B 45, 8464 (1992); J. M. Calleja, A. R. Goni, B. S. Dennis, J. S. Weiner, A. Pinczuk, S. Schmitt-Rink, L. N. Pfeiffer, K. West, J. F. Muller, and A. E. Ruckenstein, Solid State Commun. 79, 911 (1991).
8. M. S. Skolnick, J. M. Rorison, K. J. Nash, D. J. Mowbray, P. R. Tapster, S. J. Bass, and A. D. Pitt, Phys. Rev. Lett. 58, 2130 (1987); G. Livescu, D. A. B. Miller, D. S. Chemla, M. Ramaswamy, T. Y. Chang, N. Sauer, A. C. Gossard, and J. H. English, IEEE J. Quantum Electron. 24, 1677 (1988); W. Chen, M. Fritze, W. Walecki, A. Nurmikko, D. Ackley, M. Hong, L. L. Chang, Phys. Rev. B 45, 8464 (1992); J. M. Calleja, A. R. Goni, B. S. Dennis, J. S. Weiner, A. Pinczuk, S. Schmitt-Rink, L. N. Pfeiffer, K. West, J. F. Muller, and A. E. Ruckenstein, Solid State Commun. 79, 911 (1991).
9. M.-A. Mycek, J.-Y. Bigot, I. E. Perakis, and D. S. Chemla, Int. J. Nonlinear Opt. Phys. Mat. 4, 497 (1995).
10. A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W. Masselink, and H. Morcoc, Phys. Rev. Lett. 56, 2748 (1986); A. von Lehmen, D. S. Chemla, J. Zucker, and J. Heritage, Opt. Lett. 11, 609 (1986); M. Joffre, D. Hulin, and A. Antonetti, J. Phys. (Paris) Colloq. 48, C5-537 (1987); W. Knox, D. S. Chemla, D. A. B. Miller, J. Stark, and S. Schmitt-Rink, Phys. Rev. Lett. 62, 1189 (1989).
11. A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W. Masselink, and H. Morcoc, Phys. Rev. Lett. 56, 2748 (1986); A. von Lehmen, D. S. Chemla, J. Zucker, and J. Heritage, Opt. Lett. 11, 609 (1986); M. Joffre, D. Hulin, and A. Antonetti, J. Phys. (Paris) Colloq. 48, C5-537 (1987); W. Knox, D. S. Chemla, D. A. B. Miller, J. Stark, and S. Schmitt-Rink, Phys. Rev. Lett. 62, 1189 (1989).
12. A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W. Masselink, and H. Morcoc, Phys. Rev. Lett. 56, 2748 (1986); A. von Lehmen, D. S. Chemla, J. Zucker, and J. Heritage, Opt. Lett. 11, 609 (1986); M. Joffre, D. Hulin, and A. Antonetti, J. Phys. (Paris) Colloq. 48, C5-537 (1987); W. Knox, D. S. Chemla, D. A. B. Miller, J. Stark, and S. Schmitt-Rink, Phys. Rev. Lett. 62, 1189 (1989).
13. A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W. Masselink, and H. Morcoc, Phys. Rev. Lett. 56, 2748 (1986); A. von Lehmen, D. S. Chemla, J. Zucker, and J. Heritage, Opt. Lett. 11, 609 (1986); M. Joffre, D. Hulin, and A. Antonetti, J. Phys. (Paris) Colloq. 48, C5-537 (1987); W. Knox, D. S. Chemla, D. A. B. Miller, J. Stark, and S. Schmitt-Rink, Phys. Rev. Lett. 62, 1189 (1989).
14. See, for example, P. F. Liao and J. E. Bjorkholm, Phys. Rev. Lett. 34, 1 (1975).
15. S. Schmitt-Rink and D. S. Chemla, Phys. Rev. Lett. 57, 2752 (1986); S. Schmitt-Rink, D. S. Chemla, and H. Haug, Phys. Rev. B 37, 941 (1988).
16. S. Schmitt-Rink and D. S. Chemla, Phys. Rev. Lett. 57, 2752 (1986); S. Schmitt-Rink, D. S. Chemla, and H. Haug, Phys. Rev. B 37, 941 (1988).
17. C. Ell, J. F. Muller, K. El Sayed, and H. Haug, Phys. Rev. Lett. 62, 304 (1989).
18. O. Betbeder-Matibet, M. Combescot, and C. Tanguy, Phys. Rev. B 44, 3762 (1991).
19. W. Schäfer, K. H. Schuldt, and R. Binder, Phys. Status Solidi B 150, 407 (1988); I. Balslev, R. Zimmermann, and A. Stahl, Phys. Rev. B 40, 4095 (1989); R. Binder, S. W. Koch, M. Lindberg, W. Schäfer, and F. Jahnke, Phys. Rev. B 43, 6520 (1991).
20. W. Schäfer, K. H. Schuldt, and R. Binder, Phys. Status Solidi B 150, 407 (1988); I. Balslev, R. Zimmermann, and A. Stahl, Phys. Rev. B 40, 4095 (1989); R. Binder, S. W. Koch, M. Lindberg, W. Schäfer, and F. Jahnke, Phys. Rev. B 43, 6520 (1991).
21. W. Schäfer, K. H. Schuldt, and R. Binder, Phys. Status Solidi B 150, 407 (1988); I. Balslev, R. Zimmermann, and A. Stahl, Phys. Rev. B 40, 4095 (1989); R. Binder, S. W. Koch, M. Lindberg, W. Schäfer, and F. Jahnke, Phys. Rev. B 43, 6520 (1991).
22. P. Nozieres and C. T. De Dominicis, Phys. Rev. 178, 1097 (1969); M. Combescot and P. Nozieres, J. Phys. (Paris) 32, 913 (1971).
23. P. Nozieres and C. T. De Dominicis, Phys. Rev. 178, 1097 (1969); M. Combescot and P. Nozieres, J. Phys. (Paris) 32, 913 (1971).
24. K. Ohtaka and Y. Tanabe, Phys. Rev. B 28, 6833 (1983); 39, 3054 (1989).
25. K. Ohtaka and Y. Tanabe, Phys. Rev. B 28, 6833 (1983); 39, 3054 (1989).
26. I. E. Perakis and Y. C. Chang, Phys. Rev. B 44, 5877 (1991); 47, 6573 (1993); 43, 12556 (1991).
27. I. E. Perakis and Y. C. Chang, Phys. Rev. B 44, 5877 (1991); 47, 6573 (1993); 43, 12556 (1991).
28. I. E. Perakis and Y. C. Chang, Phys. Rev. B 44, 5877 (1991); 47, 6573 (1993); 43, 12556 (1991).
29. A. Ruckenstein and S. Schmitt-Rink, Phys. Rev. B 35, 7551 (1987).
30. I. E. Perakis and D. S. Chemla, Phys. Lett. 72, 3202 (1994).
31. R. F. Bishop and K. H. Lührmann, Phys. Rev. B 17, 3757 (1978); 26, 5523 (1982); K. Emrich and J. G. Zabolitzky, Phys. Rev. B 30, 2049 (1984); for a review, see R. F. Bishop and H. G. Kummel, Phys. Today, March 1987, p. 52, and references therein.
32. R. F. Bishop and K. H. Lührmann, Phys. Rev. B 17, 3757 (1978); 26, 5523 (1982); K. Emrich and J. G. Zabolitzky, Phys. Rev. B 30, 2049 (1984); for a review, see R. F. Bishop and H. G. Kummel, Phys. Today, March 1987, p. 52, and references therein.
33. R. F. Bishop and K. H. Lührmann, Phys. Rev. B 17, 3757 (1978); 26, 5523 (1982); K. Emrich and J. G. Zabolitzky, Phys. Rev. B 30, 2049 (1984); for a review, see R. F. Bishop and H. G. Kummel, Phys. Today, March 1987, p. 52, and references therein.
34. R. F. Bishop and K. H. Lührmann, Phys. Rev. B 17, 3757 (1978); 26, 5523 (1982); K. Emrich and J. G. Zabolitzky, Phys. Rev. B 30, 2049 (1984); for a review, see R. F. Bishop and H. G. Kummel, Phys. Today, March 1987, p. 52, and references therein.
35. I. E. Perakis, C. M. Varma, and A. E. Ruckenstein, Phys. Rev. Lett. 70, 3467 (1993); I. E. Perakis and C. M. Varma, Phys. Rev. B 49, 9041 (1994).
36. I. E. Perakis, C. M. Varma, and A. E. Ruckenstein, Phys. Rev. Lett. 70, 3467 (1993); I. E. Perakis and C. M. Varma, Phys. Rev. B 49, 9041 (1994).
37. L. Keldysh and A. Kozlov, Soviet Phys. JETP 27, 521 (1968).
38. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York 1987), p. 41.
39. T. D. Lee, F. Low, and D. Pines, Phys. Rev. 90, 297 (1953).
40. See, for example, A. B. Migdal, Qualitative Methods in Quantum Theory (Benjamin, New York, 1977), p. 102.
41. I. Brener, W. Knox, and W. Schäfer, Phys. Rev. B 51, 2005 (1995); I. E. Perakis, I. Brener, W. H. Knox, and D. S. Chemla, Ultrafast Phenomena IX, (Springer-Verlag, Berlin, 1994).
42. I. Brener, W. Knox, and W. Schäfer, Phys. Rev. B 51, 2005 (1995); I. E. Perakis, I. Brener, W. H. Knox, and D. S. Chemla, Ultrafast Phenomena IX, (Springer-Verlag, Berlin, 1994).
43. D. Pines and P. Nozieres, The Theory of Quantum Liquids (Addison-Wesley, Reading, Mass. 1989); R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem, 2nd ed. (Dover, New York, 1992).
44. D. Pines and P. Nozieres, The Theory of Quantum Liquids (Addison-Wesley, Reading, Mass. 1989); R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem, 2nd ed. (Dover, New York, 1992).
45. Dai-Sik Kim, J. Shah, J. E. Cunningham, T. C. Damen, S. Schmitt-Rink, and W. Schäfer, Phys. Rev. Lett. 68, 2838 (1992).
46. P. W. Anderson, Phys. Rev. Lett. 18, 1049 (1967).
47. J. Gavoret, P. Nozieres, B. Roulet, and M. Combescot, J. Phys. (Paris) 30, 987 (1969).
48. Yu. Kagan and N. V. Prokof'ev, Sov. Phys. JETP 63, 1276 (1986).
49. I. Shavitt and L. Redmon, J. Chem. Phys. 73, 5711 (1980); C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992), p. 38.
50. I. Shavitt and L. Redmon, J. Chem. Phys. 73, 5711 (1980); C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992), p. 38.
51. C. Stafford, S. Schmitt-Rink, and W. Schaefer, Phys. Rev. B 41, 10000 (1990); V. M. Axt and A. Stahl, Z. Phys. B 93, 195 (1994).
52. C. Stafford, S. Schmitt-Rink, and W. Schaefer, Phys. Rev. B 41, 10000 (1990); V. M. Axt and A. Stahl, Z. Phys. B 93, 195 (1994).
53. M. D. Crisp, Phys. Rev. A 8, 2128 (1973).
54. J. R. Schrieffer, J. Appl. Phys. 38, 1143 (1967); G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981), p. 58.
55. J. R. Schrieffer, J. Appl. Phys. 38, 1143 (1967); G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981), p. 58.
56. For some recent results, see, for example, D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schaefer, Phys. Rev. B 50, 8439 (1994); U. Siegner, M.-A. Mycek, S. Glutsch, and D. S. Chemla, Phys. Rev. Lett. 74, 470 (1995); H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, Phys. Rev. Lett. 71, 1261 (1993).
57. For some recent results, see, for example, D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schaefer, Phys. Rev. B 50, 8439 (1994); U. Siegner, M.-A. Mycek, S. Glutsch, and D. S. Chemla, Phys. Rev. Lett. 74, 470 (1995); H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, Phys. Rev. Lett. 71, 1261 (1993).
58. For some recent results, see, for example, D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schaefer, Phys. Rev. B 50, 8439 (1994); U. Siegner, M.-A. Mycek, S. Glutsch, and D. S. Chemla, Phys. Rev. Lett. 74, 470 (1995); H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, Phys. Rev. Lett. 71, 1261 (1993).