Theory of resonant secondary emission: Rayleigh scattering versus luminescence

Quantum Coherence Correlation and Decoherence in Semiconductor Nanostructures

Volumn , Issue , 2003, Pages 89-165

  Zimmermann, R ^a   Runge, E ^a,b   Savona, V ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT SCATTERING; EXCITONS; INCOHERENT SCATTERING; LIGHT; OPTICAL PROPERTIES; PHOTOLUMINESCENCE; QUANTUM THEORY; RAYLEIGH SCATTERING; SEMICONDUCTOR QUANTUM WELLS;

COULOMB BOUND STATE; DENSITY MATRIX THEORY; FUNDAMENTAL BANDS; INHOMOGENEOUS BROADENING; INTERFACE ROUGHNESS; POLARIZATION DEPENDENCE; QUANTUM MECHANICAL; SEMICONDUCTOR QUANTUM STRUCTURES;

SECONDARY EMISSION;

EID: 84902570549     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-012682225-0/50005-5     Document Type: Chapter

References (117)

1. Bastard G. Wave Mechanics Applied to Semiconductor Heterostructures 1988, Les Editions de Physique, New York.
2. Loudon R. The Quantum Theory of Light 1983, Clarendon Press, Paris. 2nd ed.
3. Hegarty J., Sturge M.D., Weisbuch C., Gossard A.C., Wiegmann W. Resonant Rayleigh scattering from an inhomogeneously broadened transition: A new probe of the homogeneous linewidth. Phys. Rev. Lett. 1982, 49:930.
4. 1-x As multiple-quantum-well structures. Phys. Rev. B 1993, 47:9669.
5. Vinattieri A., Shah J., Damen T.C., Kim D.S., Pfeiffer L.N., Maialle M.Z., Sham L.J. Exciton dynamics in GaAs quantum wells under resonant excitation. Phys. Rev. B 1994, 50:10 868.
6. Wang H., Shah J., Damen T.C., Pfeiffer L.M. Spontaneous emission of excitons in GaAs quantum wells: The role of momentum scattering. Phys. Rev. Lett. 1995, 74:3065.
7. Zimmermann R. Theory of resonant Rayleigh scattering of excitons in semiconductor quantum wells. Il Nuovo Cimento 1995, 17 D:1801.
8. 1-x As single quantum wells. Phys. Rev. B 1997, 55:13 752.
9. Haacke S., Taylor R.A., Zimmermann R., Bar-Joseph I., Deveaud B. Resonant femtosecond emission from QW excitons: The role of Rayleigh scattering and luminescence. Phys. Rev. Lett. 1997, 78:2228.
10. Gurioli M., Bogani F., Ceccherini S., Colocci M. Coherent vs. incoherent emission from semiconductor structures after resonant femtosecond excitation. Phys. Rev. Lett. 1997, 78:3205.
11. Hayes G.R., Haacke S., Kauer M., Stanley R.P., Houdre R., Oesterle U., Deveaud B. Resonant Rayleigh scattering versus incoherent luminescence in semiconductor microcavities. Phys. Rev. B 1998, 58:R 10 175.
12. Shchegrov A.V., Bloch J., Birkedal D., Shah J. Theory of resonant Rayleigh scattering from semiconductor microcavities: Signatures of disorder. Phys. Rev. Lett. 2000, 84:3478.
13. Hayes G.R., Deveaud B., Savona V., Haacke S. Speckle-averaged resonant Rayleigh scattering from quantum-well excitons. Phys. Rev. B 2000, 62:6952.
14. Langbein W., Leosson K., Jensen J.R., Hvam J.M., Zimmermann R. Instantaneous Rayleigh scattering from excitons localized in monolayer islands. Phys. Rev. B 2000, 61:R 10 555.
15. Stolz H. Time-Resolved Light Scattering from Excitons. Springer Tracts in Modern Physics 1994, Vol. 130. Springer, Oxford.
16. Shah J. Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures. Springer Series in Solid-State Sciences 1996, 115. Springer, Berlin.
17. Birkedal D., Shah J. Femtosecond spectral interferometry of resonant secondary emission from quantum wells: Resonant Rayleigh scattering in the nonergodic regime. Phys. Rev. Lett. 1998, 81:2372.
18. Dainty J.C. Laser Speckle and Related Phenomena 1984, Springer, Berlin.
19. Langbein W., Hvam J.M., Zimmermann R. Time-resolved speckle analysis: Probing the coherence of excitonic secondary emission. Proc. 24th Int. Conf. on the Physics of Semiconductors 1999, paper II-E-8, World Scientific, New York. D. Gershoni (Ed.).
20. Langbein W., Hvam J.M., Zimmermann R. Time-resolved speckle analysis: A new approach to coherence and dephasing of optical excitations in solids. Phys. Rev. Lett. 1999, 82:1040.
21. Runge E., Zimmermann R. Coherence properties of resonant secondary emission. Advances in Solid State Physics 1999, Vol. 39:423. Vieweg, Singapore. B. Kramer (Ed.).
22. Runge E., Zimmermann R. Optical properties of localized excitons in nanostructures: Theoretical aspects. Festkörperprobleme/Advances in Solid State Physics 1998, Vol. 38:251. Vieweg, Braunschweig. B. Kramer (Ed.).
23. Zimmermann R., Runge E. Exciton lineshape in semiconductor quantum structures with interface roughness. J. Luminescence 1994, 60/61:320.
24. Zimmermann R. Excitonic spectra in semiconductor nanostructures. Jap. J. App. Phys. 1995, 34(Suppl. 1):228.
25. Runge E., Schûlzgen A., Henneberger F., Zimmermann R. Relaxation kinetics and photoluminescence lineshape of excitons in II-VI semiconductor quantum wells. Phys. Stat. Solidi (B) 1995, 188:547.
26. Grassi Alessi M., Fragano F., Patane A., Capizzi M., Runge E., Zimmermann R. Competition between radiative decay and energy relaxation in disordered InGaAs/GaAs quantum wells. Phys. Rev. B 2000, 61:10 985.
27. Jahn U., Ramsteiner M., Hey R., Grahn H.T., Runge E., Zimmermann R. Effective exciton mobility edge in narrow quantum wells. Phys. Rev. B 1997, 56:R 4387.
28. Runge E., Zimmermann R. Statistical properties of speckle distribution in resonant secondary emission. Phys. Rev. B 2000, 61:4786.
29. Intonti F., Emiliani V., Lienau Ch., Elsaesser T., Savona V., Runge E., Zimmermann R., Nötzel R., Ploog K.H. Quantum mechanical repulsion of exciton levels in a disordered quantum well. Phys. Rev. Lett. 2001, 87:076801.
30. Savona V., Zimmermann R. Time-resolved Rayleigh scattering of excitons: Evidence for level repulsion in a disordered system. Phys. Rev. B 1999, 60:4928.
31. Savona V., Runge E., Zimmermann R. Enhanced resonant backscattering of light from quantum well excitons. Phys. Rev. B 2000, 62:R 4805.
32. Langbein W., Zimmermann R., Runge E., Hvam J.M. Spin-relaxation without coherence loss: Fine-structure splitting of localized excitons. Phys. Stat. Solidi (B) 2000, 221:349.
33. Zimmermann R., Runge E. Optical lineshape and radiative lifetime of excitons in quantum structures with interface roughness. Proc. 22nd Int. Conf. on the Physics of Semiconductors 1995, 1424. World Scientific, Braunschweig. D.J. Lookwood (Ed.).
34. Bimberg D., Heinrichsdorff F., Bauer R.K, Gerthsen D., Stenkamp D., Mars D.E., Miller J.N. Binary AlAs/GaAs versus ternary GaAlAs/GaAs interfaces: A dramatic difference of perfection. J. Vac. Sci. Technol. B 1992, 10:1793.
35. Castella H., Wilkins J.W. Splitting of the excitonic peak in quantum wells with interfacial roughness. Phys. Rev. B 1998, 58:16 186.
36. Große F., Zimmermann R. Growth simulation of ternary quantum structures and their optical properties. Superlatt. and Microstruct. 1995, 17:439.
37. Große F., Zimmermann R. Monte Carlo growth simulation for AlGaAs heteroepitaxy. J. Crystal Growth 2000, 212:128.
38. Köhler J., Jayannavar A.M., Reineker P. Excitonic line shapes of disordered solids. Z. Phys. B 1989, 75:451.
39. Schnabel R.F., Zimmermann R., Bimberg D., Nickel H., Lösch R., Schlapp W. Influence of exciton localization on recombination line shapes: InGaAs/GaAs quantum wells as a model. Phys. Rev. B 1992, 46:9873.
40. Stroucken T., Anthony T., Knorr A., Thomas P., Koch S.W. A Green's function approach to the description of optical properties of disordered semiconductors. Phys. Stat. Solidi (B) 1995, 188:539.
41. Velicki B., Kirkpatrick S., Ehrenreich H. Single-site approximation in the electronic theory of simple binary alloys. Phys. Rev. 1968, 175:747.
42. Glutsch S., Bechstedt F. Theory of asymmetric broadening and shift of excitons in quantum structures with rough interfaces. Phys. Rev. B 1994, 50:7733.
43. Halperin B.I. Green's functions for a particle in a one-dimensional random potential. Phys. Rev. 1965, 139:A 104.
44. Zimmermann R. Theory of dephasing in semiconductor optics. Phys. Stat. Solidi (B) 1992, 173:129.
45. Zimmermann R., Runge E., Große F. Optical spectra of quantum structures: Influence of interface and alloy disorder. Proc. 23rd Int. Conf. on the Physics of Semiconductors 1996, 1935. World Scientific, Singapore. M. Scheffler, R. Zimmermann (Eds.).
46. Zimmermann R., Große F., Runge E. Excitons in semiconductor nanostructures with disorder. Pure and Applied Chemistry 1997, 69:1179.
47. Runge E., Zimmermann R. Porter-Thomas distribution of oscillator strengths of quantum well excitons. Phys. Stat. Solidi (B) 2000, 221:269.
48. Runge E., Zimmermann R. Level repulsion and wavefunction statistics in semiconductor quantum systems with localized excitons. Ann. Physik (Leipzig) 1999, 8:SI 229.
49. Halperin B.I., Lax M. Impurity-band tails in the high-density limit. I. Minimum counting methods. Phys. Rev. 1966, 148:722.
50. Lifshitz I.M., Gredeskul S.A., Pastur L.A. Introduction to the Theory of Disordered Systems 1988, Wiley, Singapore.
51. Zimmermann R. Transverse relaxation and polarization specifics in the dynamical Stark effect of excitons. Phys. Stat. Solidi (B) 1990, 159:317.
52. Haug H. Interband quantum kinetics with LO-phonon scattering in a laser-pulsed excited semiconductor: I. Theory.; (with Banyai, L., Tran Thoai, D. B., and Remling, C.:) II. Numerical studies. Phys. Stat. Solidi (B) 1992, 173:139 + 149.
53. Schilp J., Kuhn T., Mahler G. Electron-phonon quantum kinetics in pulse-excited semiconductors: Memory and renormalization effects. Phys. Rev. B 1994, 50:5435.
54. Axt V.M., Stahl A. A dynamics-controlled truncation scheme for the hierarchy of density matrices in semiconductor optics. Z. Phys. B 1994, 93:195.
55. Victor K., Axt V.M., Stahl A. Hierarchy of density matrices in coherent semiconductor optics. Phys. Rev. B 1995, 51:14 164.
56. Zimmermann R., Wauer J., Leitenstorfer A., Fûrst C. Observation of memory effects in electron-phonon quantum kinetics. J. Luminescence 1998, 76 & 77:34.
57. Takagahara T. Localization and homogeneous dephasing relaxation of quasi-two-dimensional excitons in quantum well structures. Phys. Rev. B 1985, 32:7013.
58. Neukirch U., Weckendrup D., Faschinger W., Juza P., Sitter H. Exciton relaxation dynamics in ultrathin CdSe/ZnSe single quantum wells. J. Cryst. Growth 1994, 138:849.
59. Takagahara T. Dephasing of exciton polaritons. Phys. Rev. B 1985, 31:8172.
60. Takagahara T. Theory of exciton dephasing in semiconductor quantum dots. Phys. Rev. B 1999, 60:2638.
61. Borri P., Langbein W., Schneider S., Woggon U., Sellin R.L., Ouyang D., Bimberg D. Ultralong dephasing time in InGaAs quantum dots. Phys. Rev. Lett. 2001, 87:157401.
62. Siantidis K., Axt V.M., Kuhn T. Dynamics of exciton formation for near bandgap excitation. Phys. Rev. B 2001, 65:035303.
63. Nag B.R. Electron Transport in Compound Semiconductors. Springer Series in Solid-States Sciences 1980, 11. Springer, New York.
64. Ridley B.K. Quantum Processes in Semiconductors 1993, Clarendon Press, Berlin.
65. Ridley B.K. Electrons and Phonons in Semiconductor Multilayers 1997, Cambridge University Press, Oxford.
66. Yu P.Y., Cardona M. Fundamentals of Semiconductors 1996, Springer, Cambridge.
67. Takagahara T. Localization and energy transfer of quasi-two-dimensional excitons in GaAs-AlAs quantum-well heterostructures. Phys. Rev. B 1985, 31:6552.
68. Zimmermann R., Runge E. Excitons in narrow quantum wells: Disorder localization and luminescence kinetics. Phys. Stat. Solidi (A) 1997, 164:511.
69. Runge E., Zimmermann R. Spatially resolved spectra and effective mobility edge in narrow quantum wells. Phys. Stat. Solidi (B) 1998, 206:167.
70. Runge E. Excitons in semiconductor nanostructures. To be published in the series Solid State Physics 2002, Vol. 57. Academic Press, Berlin.
71. Chu B. Laser Light Scattering 1974, Academic Press, San Diego.
72. Mandel L., Wolf E. Optical Coherence and Quantum Optics 1995, Cambridge University Press, New York.
73. Zimmermann R., Langbein W., Runge E., Hvam J.M. Localized excitons in quantum wells show spin relaxation without coherence loss. Physica E 2001, 10:40.
74. Zimmermann R., Langbein W., Runge E., Hvam J.M. Speckle correlation spectroscopy on localized spin-split exciton states in quantum wells. Springer Proceedings in Physics 2001, 87:523. N. Miura, T. Ando (Eds.).
75. Haacke S., Schaer S., Deveaud B., Savona V. Interferometric analysis of resonant Rayleigh scattering from 2D excitons. Phys. Rev. B 2000, 61:R 5109.
76. Shchegrov A.V., Birkedal D., Shah J. Monte Carlo simulations of ultrafast resonant Rayleigh scattering from quantum well excitons: Beyond ensemble averaging. Phys. Rev. Lett. 1999, 83:1391.
77. Woerner M., Shah J. Resonant secondary emission from two-dimensional excitons: Femtosecond time evolution of the coherence properties. Phys. Rev. Lett. 1998, 81:4208.
78. Gurioli M., Bogani F., Vinattieri A., Colocci M., Belitsky V.I., Cantarero A., Pavlov S.T. Resonant Rayleigh scattering in semiconductor structures. Il Nuovo Cimento 1995, 17 D:1487.
79. Runge E., Zimmermann R. Level repulsion in excitonic spectra of disordered systems and local relaxation kinetics. Annalen der Physik (Leipzig) 1998, 7:417.
80. Guest J.R., Stievater T.H., Steel D.G., Gammon D., Katzer D.S., Park D. Nonlinear near-field spectroscopy and microscopy of single excitons in a disordered quantum well. Quantum Electronics and Laser Science Conference, OSA Technical Digest 2000, 6. Optical Soc. of America, Cambridge.
81. von Freymann G., Kurtz E., Klingshirn C., Wegener M. Statistical analysis of near-field photoluminescence spectra of single ultrathin layers of CdSe/ZnSe. Appl. Phys. Lett. 2000, 77:394.
82. Mehta M.L. Random Matrices 1990, Academic Press, Washington DC. 2nd ed.
83. Hess H.F., Betzig E., Harris T.D., Pfeiffer L.N., West K.W. Near-field spectroscopy of the quantum constituents of a luminescent system. Science 1994, 264:1740.
84. Brunner K., Abstreiter G., Böhm G., Tränkle G., Weimann G. Sharp-line photoluminescence of excitons localized at GaAs/AlGaAs quantum well inhomogeneities. Appl. Phys. Lett. 1994, 64:3320.
85. Gammon D., Snow E.S., Shanabrook B.V., Katzer D.S., Park D. Fine structure splitting in the optical spectra of single GaAs quantum dots. Phys. Rev. Lett. 1996, 76:3005.
86. Jahn U., Kwok S.H., Ramsteiner M., Hey R., Grahn H.T., Runge E. Exciton localization, photoluminescence spectra, and interface roughness in thin quantum wells. Phys. Rev. B 1996, 54:2733.
87. Wu Q., Grober R.D., Gammon D., Katzer D.S. Imaging spectroscopy of two-dimensional excitons in a narrow GaAs/AlGaAs quantum well. Phys. Rev. Lett. 1999, 83:2652.
88. Savona V., Runge E., Zimmermann R., Intonti F., Emiliani V., Lienau Ch., Elsaesser T. Level repulsion of localized excitons in disordered quantum wells. Phys. Stat. Solidi (A) 2002, 190:625.
89. Kramer B., MacKinnon A. Localization: Theory and experiment. Reports Prog. Phys. 1993, 56:1469.
90. Savona V., Haacke S., Deveaud B. Optical signatures of energy-level statistics in disordered quantum systems. Phys. Rev. Lett. 2000, 84:183.
91. Birkedal D., Shah J., Shchegrov A.V., Pfeiffer L.N. Experimental investigation of quantum effects in time-resolved resonant Rayleigh scattering from quantum well excitons. Phys. Stat. Solidi (A) 2000, 178:5.
92. Malpuech G., Kavokin A., Langbein W., Hvam J.M. Resonant Rayleigh scattering of exction-polaritons in multiple quantum wells. Phys. Rev. Lett. 2000, 85:650.
93. Prineas J.P., Shah J., Grote B., Ell C., Khitrova G., Gibbs H.M., Koch S.W. Dominance of radiative coupling over disorder in resonance Rayleigh scattering in semiconductor multiple quantum-well structures. Phys. Rev. Lett. 2000, 85:3041.
94. Van Albada M.P., Lagendijk A. Observation of weak localization of light in a random medium. Phys. Rev. Lett. 1985, 55:2692.
95. Wolf P.-E., Maret G. Weak localization and coherent backscattering of photons in disordered media. Phys. Rev. Lett. 1985, 55:2696.
96. Akkermans E., Wolf P.-E., Maynard R. Coherent backscattering of light by disordered media: Analysis of the peak line shape. Phys. Rev. Lett. 1986, 56:1471.
97. Vollhardt D., Wölfle P. Diagrammatic, self-consistent treatment of the Anderson localization problem in d ≤ 2 dimensions. Phys. Rev. B 1980, 22:4666.
98. Maialle M.Z., de Andrada e Silva E.A., Sham L.J. Exciton spin dynamics in quantum wells. Phys. Rev. B 1993, 47:15 776.
99. Andreani L.C. Optical transitions, excitons, and polaritons in bulk and low-dimensional semiconductor structures. NATO ASI Series B 1995, 340:57. Plenum Press, San Diego. E. Burstein, C. Weisbuch (Eds.).
100. Nickolaus H., Wûnsche H.-J., Henneberger F. Exciton spin relaxation in semiconductor quantum wells: The role of disorder. Phys. Rev. Lett. 1998, 81:2586.
101. Goupalov S.V., Ivchenko E.L., Kavokin A.V. Anisotropic exchange splitting of excitonic levels in small quantum systems. Superlatt. and Microstruct 1998, 23:1205.
102. Maialle M.Z. Spin dynamics of localized excitons in semiconductor quantum wells in an applied magnetic field. Phys. Rev. B 2000, 61:10 877.
103. Wilkinson M., Fang Yang, Austin E.J., O'Donell K.P. A statistical model of exciton luminescence spectra. J. Phys.: Condens. Matter 1992, 4:8863.
104. Andreani L.C., Bassani F. Exchange interaction and polariton effects in quantumwell excitons. Phys. Rev. B 1990, 41:7536.
105. Citrin D.S. Time-domain theory of resonant Rayleigh scattering by quantum wells: Early-time evolution. Phys. Rev. B 1994, 54:14 572.
106. Grote B., Ell C., Koch S.W., Gibbs H.M., Khitrova G., Prineas J.P., Shah J. Resonance Rayleigh scattering from semiconductor heterostructures: The role of radiative coupling. Phys. Rev. B 2001, 64:045330.
107. Martin O.J.F., Piller N.B. Electromagnetic scattering in polarizable backgrounds. Phys. Rev. E 1998, 58:3909.
108. Ammerlahn D., Grote B., Koch S.W., Kuhl J., Hûbner M., Hey R., Ploog K. Influence of the dielectric environment on the radiative lifetime of quantum-well excitons. Phys. Rev. B 2000, 61:4801.
109. Jorda S. Quantum theory of the interaction of quantum-well excitons with electromagnetic waveguide modes. Phys. Rev. B 1994, 50:2283.
110. Savona V., Piermarocchi C., Quattropani A., Schwendimann P., Tassone F. Optical properties of microcavity polaritons. Phase Transitions 1999, 68:169.
111. Khitrova G., Gibbs H.M., Jahnke F., Kira M., Koch S.W. Nonlinear optics of normal-mode-coupling semiconductor microcavities. Rev. Mod. Phys. 1999, 71:1591.
112. Menniger J., Kostial H., Jahn U., Hey R., Grahn H. Depth correlated lateral variations of layer thicknesses in GaAs-AlGaAs multiple quantum wells investigated by cathodoluminescence. Appl. Phys. Lett. 1995, 66:2349.
113. Haug H., Jauho A.-P. Quantum Kinetics in Transport and Optics of Semiconductors. Springer Series in Solid-State Sciences 1996, 123. Springer, New York.
114. Meden V., Wöhler C., Fricke J., Schönhammer K. Hot-electron relaxation: An exactly solvable model and improved quantum kinetic equations. Phys. Rev. B 1995, 52:5624.
115. Andreani L.C. Radiative lifetime of free excitons in quantum wells. Solid State Comm. 1991, 77:641.
116. Citrin D.S. Radiative lifetime of excitons in quantum wells: Localization and phasecoherence effects. Phys. Rev. B 1993, 47:3832.
117. Bockelmann U. Exciton relaxation and recombination in quantum dots. Phys. Rev. B 1993, 48:17637.