SEMICONDUCTOR PHYSICS

Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well

Qinghu Zhong and Liping Lai

+ Author Affiliations

 Corresponding author: Zhong Qinghu, qhzhong05@163.com

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Abstract: Electron Raman scattering (ERS) is investigated in a spherical HgS/CdS quantum dot quantum well (QDQW). The differential cross section (DCS) is calculated as a function of the scattering frequency and the sizes of QDQW. Single parabolic conduction and valence bands are assumed. The selection rules for the processes are studied. Singularities in the spectra are found and interpreted. The ERS studied here can be used to provide direct information about the electron band structure of these systems.

Key words: Electron Raman scatteringquantum dot quantum welldifferential cross-sectionselection rule



[1]
Quillec M. Material for future InP-based optoelectronics:InGaAsP versus InGaAlAs. Proc SPIE, 1991, 34:1361 doi: 10.1117/12.24285.short
[2]
Lupton J M, Samuel I D W, Burn P L, et al. Exciton confinement in organic dendrimer quantum wells for opto-electronic applications. J Chem Phys, 2002, 116:455 doi: 10.1063/1.1431542
[3]
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Eychmüller A, Mews A, Weller H. A quantum dot quantum well:CdS/HgS/CdS. Chem Phys Lett, 1993, 208:59 doi: 10.1016/0009-2614(93)80076-2
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Eychmüller A, Vossmeyer T, Mews A, et al. Transient photobleaching in the quantum dot quantum well CdS/HgS/CdS. J Lumin, 1994, 58:223 doi: 10.1016/0022-2313(94)90400-6
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Zhong Q H, Liu C H. Studies of electronic Raman scattering in CdS/HgS cylindrical quantum dot quantum well structures. Thin Solid Films, 2008, 516:3405 doi: 10.1016/j.tsf.2007.10.118
[8]
Zhang L, Xie H J, Chen C Y. Frohlich electron-phonon interaction Hamiltonian in a quantum dot quantum well. Phys Rev B, 2002, 66:205326 doi: 10.1103/PhysRevB.66.205326
[9]
Zhang X, Xiaong G G, Feng X B. Well width-dependent third-order optical nonlinearities of a ZnS/CdSe cylindrical quantum dot quantum well. Physica E, 2006, 33:120 doi: 10.1016/j.physe.2005.11.017
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Tkach M, Holovatsky V, Voitsekhivska O, et al. Spectra of quasiparticles and their interaction in complicated spherical nanoheterosystem. Phys Status Solidi B, 1997, 203:373 doi: 10.1002/(ISSN)1521-3951
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Wang D C, Zhang Y M, Zhang Y M, et al. Raman analysis of epitaxial graphene on 6H-SiC (0001) substrates under low pressure environment. Journal of Semiconductors, 2011, 32:113003 doi: 10.1088/1674-4926/32/11/113003
[12]
Cardona M. Lattice vibrations in semiconductor superlattices. Superlattices Microstruct, 1990, 7:183 doi: 10.1016/0749-6036(90)90293-G
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Klein M V. Soliton propagation in long fibers with periodically compensated loss. IEEE J Quantum Electron, 1986, QE-22:1760 http://ieeexplore.ieee.org/document/1072858/?arnumber=1072858
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Zhang G J, Xiu B, Chen Y H, et al. Raman scattering of InAs quantum dots with different deposition thicknesses. Chinese Journal of Semiconductors, 2006, 27:1012 http://www.oalib.com/paper/1523058
[15]
Pinczuk A, Burstien E, Cardona M. Light scattering in solids I; Springer topics in applied physics. Vol. 8. Springer:Heidelberg, 1983
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Zhao X F, Liu C H. One phonon resonant Raman scattering in freestanding quantum wires. Phys Lett A, 2007, 364:70 doi: 10.1016/j.physleta.2006.12.070
[17]
Zhong Qinghu, Yi Xuehua. Electron Raman scattering in a cylindrical quantum dot. Journal of Semiconductors, 2012, 33(5):052001 doi: 10.1088/1674-4926/33/5/052001
[18]
Kanschke W, Sood A K, Cardona M, et al. Temperature dependence of the shifts and broadenings of the critical points in GaAs. Phys Rev B, 1987, 36:1612 doi: 10.1103/PhysRevB.36.1612
[19]
Zhong Qinghu, Yi Xuehua, Pu Shouliang, et al. One-phonon resonant electron Raman scattering in multilayer coaxial cylindrical AlxGa11-xAs/GaAs quantum cables. Journal of Semiconductors, 2013, 34(4):042001 doi: 10.1088/1674-4926/34/4/042001
[20]
Krauss T D, Wise F W. Raman-scattering study of exciton-phonon coupling in PbS nanocrystals. Phys Rev B, 1997, 55:9860 doi: 10.1103/PhysRevB.55.9860
[21]
Haroutyunian V A. Interband optical absorption in a small-radius quantized spherical film. Thin Solid Films, 2004, 446:258 doi: 10.1016/S0040-6090(03)00878-2
[22]
Zhong Q H, Wang R Q, Hu L B, et al. One-phonon resonant electron Raman scattering in a cylindrical GaAs/AlAs quantum dot. J Raman Spectrosc. 2013, 44:752 doi: 10.1002/jrs.v44.5
[23]
Menendez E, Trallero-Giner C, Cardona M. Vibrational Resonant Raman scattering in spherical quantum dots:exciton effects. Phys Status Solidi B, 1997, 199:81 doi: 10.1002/(ISSN)1521-3951
[24]
Geerinckx F, Peeters F M, Devreese J T. Effect of the confining potential on the magneto-optical spectrum of a quantum dot. J Appl Phys, 1990, 68:3435 doi: 10.1063/1.346351
[25]
Maksym P, Chakraborty T. Quantum dots in a magnetic field:role of electron-electron interactions. Phys Rev Lett, 1990, 65:108 doi: 10.1103/PhysRevLett.65.108
[26]
Ismailov T G, Mehdiyev B H. Electron Raman scattering in a cylindrical quantum dot in a magnetic field. Physica E, 2006, 31:72 doi: 10.1016/j.physe.2005.09.011
[27]
Dorigoni L, Bisi O, Bernardini F, et al. Electron states and luminescence transition in porous silicon. Phys Rev B, 1996, 53:4557 doi: 10.1103/PhysRevB.53.4557
[28]
Ossicine S, Dorigoni L, Bisi O. Luminescence in porous silicon:the role of confinement and passivation. Appl Surf Sci, 1996, 102:395 doi: 10.1016/0169-4332(96)00085-2
[29]
Chernoutsan K, Dneprovskii V, Gavrilov S, et al. Linear and nonlinear optical properties of excitons in semiconductor-dielectric quantum wires. Physica E, 2002, 15:111 doi: 10.1016/S1386-9477(02)00442-3
Fig. 1.  The model of a suppositional spherical QDQW.

Fig. 2.  Raman spectra of the HgS/CdS spherical QDQW in the scattering configuration $X(Z;Z)X$. The inner and outer radius are $R_1 = 2.5$ nm and $R_2 = 4.5$ nm.

Fig. 3.  The model of a suppositional spherical QDQW.

[1]
Quillec M. Material for future InP-based optoelectronics:InGaAsP versus InGaAlAs. Proc SPIE, 1991, 34:1361 doi: 10.1117/12.24285.short
[2]
Lupton J M, Samuel I D W, Burn P L, et al. Exciton confinement in organic dendrimer quantum wells for opto-electronic applications. J Chem Phys, 2002, 116:455 doi: 10.1063/1.1431542
[3]
Miller D A B. Quantum-well devices for optics in digital systems. Proc SPIE, 1991, 1389:496 doi: 10.1117/12.47719
[4]
Mews A, Eychmüller A, Giersig M, et al. Optical properties of CdS/HgS/CdS quantum dot-quantum well. J Phys Chem, 1994, 98:934 doi: 10.1021/j100054a032
[5]
Eychmüller A, Mews A, Weller H. A quantum dot quantum well:CdS/HgS/CdS. Chem Phys Lett, 1993, 208:59 doi: 10.1016/0009-2614(93)80076-2
[6]
Eychmüller A, Vossmeyer T, Mews A, et al. Transient photobleaching in the quantum dot quantum well CdS/HgS/CdS. J Lumin, 1994, 58:223 doi: 10.1016/0022-2313(94)90400-6
[7]
Zhong Q H, Liu C H. Studies of electronic Raman scattering in CdS/HgS cylindrical quantum dot quantum well structures. Thin Solid Films, 2008, 516:3405 doi: 10.1016/j.tsf.2007.10.118
[8]
Zhang L, Xie H J, Chen C Y. Frohlich electron-phonon interaction Hamiltonian in a quantum dot quantum well. Phys Rev B, 2002, 66:205326 doi: 10.1103/PhysRevB.66.205326
[9]
Zhang X, Xiaong G G, Feng X B. Well width-dependent third-order optical nonlinearities of a ZnS/CdSe cylindrical quantum dot quantum well. Physica E, 2006, 33:120 doi: 10.1016/j.physe.2005.11.017
[10]
Tkach M, Holovatsky V, Voitsekhivska O, et al. Spectra of quasiparticles and their interaction in complicated spherical nanoheterosystem. Phys Status Solidi B, 1997, 203:373 doi: 10.1002/(ISSN)1521-3951
[11]
Wang D C, Zhang Y M, Zhang Y M, et al. Raman analysis of epitaxial graphene on 6H-SiC (0001) substrates under low pressure environment. Journal of Semiconductors, 2011, 32:113003 doi: 10.1088/1674-4926/32/11/113003
[12]
Cardona M. Lattice vibrations in semiconductor superlattices. Superlattices Microstruct, 1990, 7:183 doi: 10.1016/0749-6036(90)90293-G
[13]
Klein M V. Soliton propagation in long fibers with periodically compensated loss. IEEE J Quantum Electron, 1986, QE-22:1760 http://ieeexplore.ieee.org/document/1072858/?arnumber=1072858
[14]
Zhang G J, Xiu B, Chen Y H, et al. Raman scattering of InAs quantum dots with different deposition thicknesses. Chinese Journal of Semiconductors, 2006, 27:1012 http://www.oalib.com/paper/1523058
[15]
Pinczuk A, Burstien E, Cardona M. Light scattering in solids I; Springer topics in applied physics. Vol. 8. Springer:Heidelberg, 1983
[16]
Zhao X F, Liu C H. One phonon resonant Raman scattering in freestanding quantum wires. Phys Lett A, 2007, 364:70 doi: 10.1016/j.physleta.2006.12.070
[17]
Zhong Qinghu, Yi Xuehua. Electron Raman scattering in a cylindrical quantum dot. Journal of Semiconductors, 2012, 33(5):052001 doi: 10.1088/1674-4926/33/5/052001
[18]
Kanschke W, Sood A K, Cardona M, et al. Temperature dependence of the shifts and broadenings of the critical points in GaAs. Phys Rev B, 1987, 36:1612 doi: 10.1103/PhysRevB.36.1612
[19]
Zhong Qinghu, Yi Xuehua, Pu Shouliang, et al. One-phonon resonant electron Raman scattering in multilayer coaxial cylindrical AlxGa11-xAs/GaAs quantum cables. Journal of Semiconductors, 2013, 34(4):042001 doi: 10.1088/1674-4926/34/4/042001
[20]
Krauss T D, Wise F W. Raman-scattering study of exciton-phonon coupling in PbS nanocrystals. Phys Rev B, 1997, 55:9860 doi: 10.1103/PhysRevB.55.9860
[21]
Haroutyunian V A. Interband optical absorption in a small-radius quantized spherical film. Thin Solid Films, 2004, 446:258 doi: 10.1016/S0040-6090(03)00878-2
[22]
Zhong Q H, Wang R Q, Hu L B, et al. One-phonon resonant electron Raman scattering in a cylindrical GaAs/AlAs quantum dot. J Raman Spectrosc. 2013, 44:752 doi: 10.1002/jrs.v44.5
[23]
Menendez E, Trallero-Giner C, Cardona M. Vibrational Resonant Raman scattering in spherical quantum dots:exciton effects. Phys Status Solidi B, 1997, 199:81 doi: 10.1002/(ISSN)1521-3951
[24]
Geerinckx F, Peeters F M, Devreese J T. Effect of the confining potential on the magneto-optical spectrum of a quantum dot. J Appl Phys, 1990, 68:3435 doi: 10.1063/1.346351
[25]
Maksym P, Chakraborty T. Quantum dots in a magnetic field:role of electron-electron interactions. Phys Rev Lett, 1990, 65:108 doi: 10.1103/PhysRevLett.65.108
[26]
Ismailov T G, Mehdiyev B H. Electron Raman scattering in a cylindrical quantum dot in a magnetic field. Physica E, 2006, 31:72 doi: 10.1016/j.physe.2005.09.011
[27]
Dorigoni L, Bisi O, Bernardini F, et al. Electron states and luminescence transition in porous silicon. Phys Rev B, 1996, 53:4557 doi: 10.1103/PhysRevB.53.4557
[28]
Ossicine S, Dorigoni L, Bisi O. Luminescence in porous silicon:the role of confinement and passivation. Appl Surf Sci, 1996, 102:395 doi: 10.1016/0169-4332(96)00085-2
[29]
Chernoutsan K, Dneprovskii V, Gavrilov S, et al. Linear and nonlinear optical properties of excitons in semiconductor-dielectric quantum wires. Physica E, 2002, 15:111 doi: 10.1016/S1386-9477(02)00442-3
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    Received: 27 March 2013 Revised: 01 June 2013 Online: Published: 01 December 2013

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      Qinghu Zhong, Liping Lai. Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well[J]. Journal of Semiconductors, 2013, 34(12): 122002. doi: 10.1088/1674-4926/34/12/122002 Q H Zhong, L P Lai. Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well[J]. J. Semicond., 2013, 34(12): 122002. doi: 10.1088/1674-4926/34/12/122002.Export: BibTex EndNote
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      Qinghu Zhong, Liping Lai. Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well[J]. Journal of Semiconductors, 2013, 34(12): 122002. doi: 10.1088/1674-4926/34/12/122002

      Q H Zhong, L P Lai. Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well[J]. J. Semicond., 2013, 34(12): 122002. doi: 10.1088/1674-4926/34/12/122002.
      Export: BibTex EndNote

      Electron Raman scattering in a HgS/CdS spherical quantum dot quantum well

      doi: 10.1088/1674-4926/34/12/122002
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      Project supported by the Guangdong Provincial Natural Science Foundation (No. S2012010010976)

      the Guangdong Provincial Natural Science Foundation S2012010010976

      More Information
      • Corresponding author: Zhong Qinghu, qhzhong05@163.com
      • Received Date: 2013-03-27
      • Revised Date: 2013-06-01
      • Published Date: 2013-12-01

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