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Institute of Korean Electrical and Electronics Engineers (한국전기전자학회)
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The magnetic dependence of 2-dimension quantum optical transition in electron-deformation potential phonon interaction systems in Ge

  • Choi, Hyenil (Dept. of Electronical Engineering, Dongeui University) ;
  • Cho, Hyunchul (Dept. of Avionics & Aviation Maintenance Kyungbuk college) ;
  • Lee, Suho (Dept. of Electronical Engineering, Donga University)
  • Received : 2018.06.11
  • Accepted : 2018.06.29
  • Published : 2018.06.30
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Abstract

In this work, we summarize the calculation processes of obtaining a scattering factor using with the equilibrium average projection scheme (EAPS), with moderately weak coupling (MWC) interaction, and obtain the line-shape formula of an electron-deformation phonon interacting system interested in the confinement of electrons by squarwell confinement potentials in quantum two dimensional system.. Through the numerical analysis, we analysis the magnetic dependence of absorption power, P(B) in several temperature and frequency difference dependence of absorption power $P({\Delta}{\omega})$, in several external field, where ${\Delta}{\omega}={\omega}-{\omega}_0$ and ${\omega}({\omega}_0)$ is the angular frequency (the cyclotron resonance frequency). The result of equilibrium average projection scheme (EAPS) in SER-MWC explains the properties of quantum transition quite well.

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References

  1. C. S. Ting, S. C. Ying and J. J. Quinn, "Theory of cyclotron resonance of interacting electrons in a semiconducting surface inversion layer," Physical Review B, vol.16, no.12, pp.5394-5404, 1977.DOI:10.1103/PhysRevB.16.5394
  2. Wu Xiaoguang, F. M. Peeters and J. T. Devreese, "Theory of the cyclotron resonance spectrum of a polaron in two dimensions," Physical Review B, , vol.34, no.12, pp.8800-8809, 1986.DOI:10.1103/PhysRevB.34.8800
  3. P. Grigoglini and G. P. Parravidini, "Phonon thermal baths: A treatment in terms of reduced models," Physical Review B,, vol.25, no.8, pp. 5180-5187, 1982.DOI:10.1103/PhysRevB.25.5180
  4. J. R. Barker, "Quantum transport theory of high-field conduction in semiconductors," Journal of Physics C: Solid State Physics, vol.6, no.17, pp.2633-2684, 1973.DOI:10.1088/0022-3719/6/17/009
  5. R. Kubo, "Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems," Journal of the Physical Society of Japan, vol.12, no.6, pp.570-586, 1957.DOI:10.1143/JPSJ.12.570
  6. H. Mori, "Transport, Collective Motion, and Brownian Motion," Progress of Theoretical Physics, vol.33, no.3, pp.423-455, 1965. DOI:10.1143/PTP.33.423
  7. K. Nagano, T. Karasudani and H. Okamoto, "Reduced Equations of Motion for Generalized Fluxes and Forces in the Continued-Fraction Expansion," Progress of Theoretical Physics, vol.63, no.6, pp.1904-1916, 1980.DOI:10.1143/PTP.63.1904
  8. R. Zwanzig, "Theoretical basis for the Rouse-Zimm model in polymer solution dynamics," The Journal of Chemical Physics, vol.60, no.7, pp.2717-2720, 1960.DOI:10.1063/1.1681433
  9. V. M. Kenkre, "Integrodifferential Equation for Response Theory," PHYSICAL REVIEW A, vol.4, no.6, pp.2327-2330, 1971.DOI:10.1103/Phys., Rev,A.4.2327
  10. S.G.Jo, N.L.Kang, Y.J.Cho, S.D.Choi. "Modeling of the Cyclotron Transition Theory for Quasi- 2-Dimensional Electron-Systems by the Isolation-Projection Technique," J. Korea Phys. Soc. 30, pp. 103-110, 1997.
  11. J. Y. Sug and S. D. Choi. "Quantum transport theory based on the equilibrium density projection technique," PHYSICAL REVIEW E, vol .55, no.1, pp.314-321. 1997. DOI:10.1103/PhysRevE.55.314
  12. J. Y. Sug and S. D. Choi. "Quantum transition processes in deformation potential interacting systems using the equilibrium density projection technique," PHYSICAL REVIEW B, vol.64, no.23, pp.235210, 2001. DOI:10.1103/PhysRevB.64.235210
  13. H. Kobori, T. Ohyama, and E. Otsuka, "Line-Width of Quantum Limit Cyclotron Resonance. I. Phonon Scatterings in Ge, Si, CdS and InSb," Journal fo the Physical Society of Japan, vol.59, no.6, pp.2141-2163, 1989. DOI:10.1143/JPSJ.59.2141
  14. J. Y. Sug, S. H. Lee, J. J. Kim, "The magnetic field dependence of the deformation potential materials in the square well confinement potential," Central European Journal of Physics, vol.6, no.4, pp.812-824, 2008.DOI:10. 2478/s11534-008-0114-1 https://doi.org/10.2478/s11534-008-0114-1
  15. J. Y. Sug, S. H. Lee, J. Y. Choi, G. Sa-Gong. and J,.J. Kim, "Magnetic Properties of Optical Quantum Transition Line Shapes and Line Widths of Electron-Piezoelectric Potential Phonon Interacting Materials under Circularly Oscillating Fields," Japanese Journal of Applied Physics, vol.47, no.9, pp.7757-7763, 2008.(DOI X) https://doi.org/10.1143/JJAP.47.7757
  16. J. Y. Sug, S. H. Lee and J. Y. Choi, "The temperature dependence of quantum optical transition properties of GaN and GaAs in a infinite square well potential system," Journal of the Korean Physical Society, vol.54, no.4, pp.1015-1019, 2009.DOI: 10.3938/jkps.57.1015
  17. C. M. Wolfe and G. E. Stillman Processes, Physical Properties of Semiconductors, Prentice-Hall, 1989.
  18. D. K. Ferry Process, "Semiconductors," Macmillan, New York, 1991.
  19. S. L. Chuang Process, Physics of Optoelectronic Devices, Wiley, 1995.