摘要
在有效质量近似的框架内,利用变分法求解三角形对称罗森-莫尔斯势中砷化镓量子点的薛定谔方程.就杂质结合能作为势阱参数d、V_0,压力P,温度T和杂质位置zi的函数进行了计算,结果表明,杂质结合能深受d、V_0、P、T和zi的影响,在低维半导体量子系统的实验研究中,压力P和温度T应该被考虑在内.
Within the framework of the effective mass approximation,the Schrdinger equation in a GaAs symmetrically trigonometric Rosen-Morse potential quantum dot is solved by means of a variational approach. The impurity binding energy has been calculated as a function of parameters of potential d,V_0,pressure P,temperature T and the impurity position z_i. It is found that the impurity binding energy is strongly affected by d,V_0,P,T and z_i. It is also worthwhile to point out that pressure P and temperature T should be considered in the experimental study of low-dimensional semiconductor quantum system.
引文
[1]GUO K X,GU S W.Nonlinear optical rectification in parabolic quantum wells with an applied electric field[J].Phys Rev B,1993,47:16322-16325.
[2]GUO K X,ZHANG Z M,MOU S,et al.Effect of hydrogenic impurity on linear and nonlinear optical absorption coefficients and refractive index changes in a quantum dot[J].J Opt,2015,17:055504(6pages).
[3]TANG Z H,ZHANG W Y.Nonreciprocal multiferroic superlattices with broken parity symmetry[J].Int J Mod Phys B,2012,26:1292003(20pages).
[4]XIE W F.Linear and nonlinear optical properties of a hydrogenic donor in spherical quantum dots[J].Physica B,2008,403:4319-4322.
[5]LU L L,XIE W F,HASSANABADI H.Laser field effect on the nonlinear optical properties of donor impurities in quantum dots with Gaussian potential[J].Physica B,2011,406:4129-4134.
[6]ZHANG L,XIE H J.Electric field effect on the second-order nonlinear optical properties of parabolic and semiparabolic quantum wells[J].Phys Rev B,2003,68:235315(6pages).
[7]PEREZ-MERCHANCANO S T,FRANCO R,SILVA-VALENCIA J.Impurity states in a spherical Ga As-Ga1-xAlxAs quantum dots:Effects of hydrostatic pressure[J].Microel J,2008,39:383-386.
[8]ZHANG C J,LIU C P,XU Z Z.Control of higher spectral components by spatially inhomogeneous fields in quantum wells[J].Phys Rev A,2013,88:035805(5pages).
[9]WANG G H.Third-harmonic generation in cylindrical parabolic quantum wires with an applied electric field[J].Phys Rev B,2005,72:155329(5pages).
[10]ZHANG L,XIE H J.Electric field effect on the second-order nonlinear optical properties of parabolic and semiparabolic quantum wells[J].Phys Rev B,2003,68:235315(6pages).
[11]BARMBY P W,DUNN J L,BATES C A.Theoretical calculations of shallow donor impurity states in Ga As/Ga Al As multiquantum wells with magnetic fields applied parallel to the layers[J].J Phys:Cond Matt,1995,7:2473-2478.
[12]BASKOUTAS S,PASPALAKIS E,TERZIS A F.Electronic structure and nonlinear optical rectification in a quantum dot:effects of impurities and external electric field[J].J Phys:Cond Matt,2007,19:395024(9pages).
[13]MOU S,GUO K X,XIAO B.Studies on the third-harmonic generation coefficients in asymmetrical semi-exponential quantum wells[J].Superl Microstr,2014,65:309-318.
[14]ZENG Z P,GAROUFALIS C S,BASKOUTAS S.Combination effects of tilted electric and magnetic fields on donor binding energy in a Ga As/Al Ga As cylindrical quantum dot[J].J Phys D:Appl Phys,2012,45:235102(9pages).
[15]ZENG Z P,GAROUFALIS C S,BASKOUTAS S,et al.Tuning the binding energy of surface impurities in cylindrical Ga As/Al Ga As quantum dots by a tilted magnetic field[J].J Appl Phys,2012,112:064326(5pages).
[16]SADEGHI E,AVAZPOUR A.Binding energy of an off-center donor impurity in ellipsoidal quantum dot with parabolic confinement potential[J].Physica B,2011,406:241-244.
[17]YAKAR Y,$AKR B,ZMEN A.Off-center hydrogenic impurity in spherical quantum dot with parabolic potential[J].Superl Microstrt,2013,60:389-397.
[18]BASER P,ELAGOZ S,BARAZ N.Hydrogenic impurity states in zinc-blende InxGa1-xN/Ga N in cylindrical quantum well wires under hydrostatic pressure[J].Physica E,2011,44:356-360.
[19]PETER A J.The effect of hydrostatic pressure on binding energy of impurity states in spherical quantum dots[J].Physica E,2005,28:225-229.
[20]XIA C X,LIU Y M,WEI S Y.Hydrostatic pressure effects on the impurity states in In As/Ga As coupled quantum dots[J].Appl Surf Sci,2008,255:2312-2315.
[21]EI MOUSSAOUY A,OUCHANI N.The role of hydrostatic pressure and temperature on bound polaron in semiconductor quantum dot[J].Physica B,2014,436:26-32.
[22]WANG Y,PEI X J,XING Z G,et al.Anomalous tunneling effect on photoluminescence of asymmetric coupled double InGa N/Ga N quantum wells[J].Appl Phys Lett,2007,91:061902(3pages).
[23]KASAPOGLU E,SARI H,SOKMEN I.Binding energy of impurity states in an inverse parabolic quantum well under magnetic field[J].Physica B,2007,390:216-219.
[24]LIANG S J,XIE W F.The hydrostatic pressure and temperature effects on a hydrogenic impurity in a spherical quantum dot[J].Eur Phys J B,2011,81:79-84.
[25]ACIKSOZ E,BAYRAK O,SOYLU A.Effect of external fields on the energies of hydrogenic donor with the anharmonic confinement potential[J].Physica B,2015,456:339-343.