LIU He, WEN Shu-min, ZHAO Chun-wang, HA Si-hua. Hydrostatic Pressure and Screening Influence on Binding Energies of Impurity in Quantum Wells with Infinite Barriers Under An External Magnetic Field[J]. Chinese Journal of Luminescence, 2012,(11): 1198-1203
LIU He, WEN Shu-min, ZHAO Chun-wang, HA Si-hua. Hydrostatic Pressure and Screening Influence on Binding Energies of Impurity in Quantum Wells with Infinite Barriers Under An External Magnetic Field[J]. Chinese Journal of Luminescence, 2012,(11): 1198-1203 DOI: 10.3788/fgxb20123311.1198.
Hydrostatic Pressure and Screening Influence on Binding Energies of Impurity in Quantum Wells with Infinite Barriers Under An External Magnetic Field
Considering the hydrostatic pressure and screening effect on the GaN/Al
x
Ga
1-
x
N quantum well with infinite barriers under an external magnetic field. The variational methods are used to numerical calculation the binding energies of the impurity in the system. The relations between the binding energies of donors with magnetic field strength and well width is given. We also discussed the difference between the cases with and without screening. The resultds indicate that the binding energy increases with the well width under a fixed magnetic field strength and pressure. The results also show that the binding energy increases with the magnetic field strength for a given well width and pressure. Because of the screening reduce coulomb interaction effectively
the binding energy of impurity states decreases significantly. Screening effect increases with the pressure and decreases with the magnetic field strength.
关键词
Keywords
references
Thompson M P, Auner G W, Zheleva T S, et al. Deposition factors and band gap of zinc-blende AlN [J]. J. Appl. Phys.,2000, 89(6):3331-3336.
Lemos V, Silveira E, Leite J R, et al. Evidence for phase-separated quantum dots in cubic InGaN layers from resonant Raman scattering [J]. Phys. Rev. Lett., 2000, 84(16):3666-3669.
Park S H, Chuang S L. Comparison of zinc-blende and wurtzite GaN semiconductors with spontaneous polarization and piezoelectric field effects [J]. J. Appl. Phys., 2000, 87(1):353-364.
Li Z Y, Wang M, Su X Y, et al. First-principles study on electron structure and light absorption of the blende Ga1-xAlxN systems [J]. Chin. J. Lumin.(发光学报), 2010, 31(4):521-526 (in Chinese).
Bastard G. Hydrogenic impurity states in a quantum well: A simple model [J]. Phys. Rev. B, 1981, 24(8):4714-4722.
Elangovan A, Navaneethakrishnan K. Binding energy of a bound polaron in strong magnetic fields in low-dimensional semiconductor systems [J]. J. Phys.: Condens. Matter,1993, 5(24):4021-4028.
Elangovan A, Navaneethakrishnan K. Pressure dependence of the diamagnetic susceptibility of a donor in low-dimensional semiconductor systems [J]. Phys. Rev. B, 1993, 48(11):7986-7990.
Hollox D M, Antoniewicz P R. Bound state of an external impurity at a semiconductor-semiconductor interface in the presence of a magnetic field [J]. Phys. Rev.B, 1986, 33(12):8558-8563.
Zhao G J, Liang X X, Ban S L. Binding energies of donors in quantum wells under hydrostatic pressure [J]. Phys. Lett.A, 2003, 319(1-2):191-197.
Wen S M, Ban S L. Screening influence on binding energies of donors in quantum wells with finite barriers under hydrostatic pressure [J]. J. Semiconductors (半导体学报), 2006, 27(1):63-67 (in Chinese).
Wen S M, Zhao C W, Wang X J. Pressure effect on the binding energies of donors in strained GaN/AlGaN quantum well [J]. J. Func. Mater.(功能材料), 2010, 41(1):97-100 (in Chinese).
Wen S M, Ban S L. Influence of polaronic effect on binding energies of donors in quantum wells with finite barriers under hydrostatic pressure l [J]. J. Semiconductors (半导体学报),2007, 28(6):848-855 (in Chinese).
Cao Y L, Ban S L. Screening influence on the binding energy of a donor in a GaAs/AlxGa1-xAs heterojunction system [J]. Acta Scientiarum Naturalium Universitatis Neimongol (内蒙古大学学报),2001, 32(4):392-396 (in Chinese).
Zhang M, Ban S L. Impurity states in semiconductor GaAs/AlxGa1-xAs heterojunctions with an external magnetic field [J]. Chin. J. Lumin.(发光学报),2004, 25(4):369-374 (in Chinese).
Ban S L, Hasbun J E. Level in a quasi-two dimensional heterojunction system [J]. Solid State Commun.,1999, 109(2):93-98.
Karch K, Bechstedt F, Pletl T. Lattice dynamics of GaN: Effects of 3d electrons [J]. Phys. Rev.B, 1997, 56(7): 3560-3563.
Karch K, Bechstedt F. Ab initio lattice dynamics of BN and AlN covalent versus ionic forces [J]. Phys. Rev. B, 1997, 56(12):7404-7415.
Wagner J M, Bechstedt F. Pressure dependence of the dielectric and lattice dynamical properties of GaN and AlN [J]. Phys. Rev. B, 2000, 62(7):4526-4534.
Wang H, Farias G A, Freire V N. Interface related exciton energy blue shift in GaN/AlxGa1-xN zinc blende and wurtzite single quantum wells [J]. Phys. Rev. B, 1999, 60(8):5705-5713.
Phillips J C, Lucovsky G. Bonds and Bands in Semiconductors[M]. 2nd Edition, New York: Momentum Press, 1973:125-129.
Wei S H, Zunger A. Predicted band-gap pressure coefficients of all diamond and zincb-lende semiconductors [J]. Phys. Rev. B, 1999, 60(8):5404-5411.