抛物量子阱中强耦合极化子的基态能量计算
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摘要
采用线性组合算符和幺正变换相结合的变分方法,研究了电子与体纵光学声子强耦合情况下抛物量子阱中极化子的基态能量。给出了抛物量子阱中强耦合极化子的基态能量与量子阱受限强度和电子-体纵光学声子耦合强度的关系。通过数值计算,结果表明:强耦合极化子的基态能量随量子阱受限强度的增大而增大,随电子-体纵光学声子耦合强度的增大而减小。随量子阱受限强度的减小,基态能量趋于晶体材料的结果。抛物量子阱增强了极化子的基态能量。
The ground state energy of the strong-coupled polaron in a parabolic quantum well was studied by using linear combination operator and unitary transformation method.The relationships between the ground state energy of the strong-coupled polaron and the confinement strength of parabolic quantum well as well as electron-longitudinal optical phonons coupling constant were derived.Numerical calculation based on computer indicated that the ground state energy of strong-coupled polaron would increase with increasing confinement strength,and it would decrease with increasing electron-longitudinal optical phonons coupling constant.With the decrease of confinement strength,ground state energy tended to be the result of crystalline material.The ground-state energy of polaron was enhanced by the confinement of parabolic quantum well.
The ground state energy of the strong-coupled polaron in a parabolic quantum well was studied by using linear combination operator and unitary transformation method.The relationships between the ground state energy of the strong-coupled polaron and the confinement strength of parabolic quantum well as well as electron-longitudinal optical phonons coupling constant were derived.Numerical calculation based on computer indicated that the ground state energy of strong-coupled polaron would increase with increasing confinement strength,and it would decrease with increasing electron-longitudinal optical phonons coupling constant.With the decrease of confinement strength,ground state energy tended to be the result of crystalline material.The ground-state energy of polaron was enhanced by the confinement of parabolic quantum well.
引文
[1]赵凤岐.极化子理论研究史概况[J].内蒙古师范大学学报(自然科学汉文版),2013,42(1):77-83.
[2]Er9elebi A,Tomak M.Polaron effects on the energy levels of hydrogenic impurities in GaAs/Ga1-xAlx As quantum well structures[J].Solid State Communications,1985,54(10):883-885.
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[4]Kong Xiaojun,Wei Chengwen,Gu Shiwei.Cyclotron resonance of a magnetopolaron in a semiconductor quantum well[J].Phys Rev B,1989,39(5):3230-3238.
[5]Comas F,Trallero-Giner C,Riera R.LO-phonon confinement and polaron effect in a quantum well[J].Phys Rev B,1989,39(9):5907-5912.
[6]Rücker H,Mora-Ramos M,Comas F.Magnetopolaron in a quantum well[J].Phys Stat Sol(B),1990,159:117-125.
[7]Hai Guoqiang,Peeters F M,Devreese J T.Polaron energy and effective mass in a quantum well[J].Physical Review B,1990,42(17):11063-11072.
[8]黄卓和,陈传誉,陈芝得,等.稳恒电磁场中量子阱内极化子的基态能量[J].物理学报,1994,43(1):91-98.
[9]Zheng Ruisheng,Ban Shiliang,Liang Xixia.Polaronic effect on the electron energy spectrum in a quantum well[J].Journal of Physics:Condensed Matter,1994,6(47):10307-10316.
[10]Zheng Yisong,Lu Tianquan.Polaron energy and effective mass in a quantum well[J].Physica B:Physics of Condensed Matter,1995,212(4):395-403.
[11]Wei Baohua,Chang Sub Kim.Self-energy of a confined polaron in a quantum well:Comparison among different phonon models[J].Phys Rev B,1998,58(15):9623-9626.
[12]Boichuk V I,Borusevych V A.Polaron energy spectrum in quasi-two-dimensional nanoheterosystems with aquantum well of finite and infinite depth[J].Journal of Physical Studies,2006,10(1):39-45.
[13]Zhu Xiuqin,Shi Junjie,Liu Zixin,et al.Energy and effective mass of a polaron in asymmetric semiconductor quantum well structures[J].Zeitschrift für Physik B Condensed Matter,1997,102(2):207-216.
[14]Zhao FengQi,Liang XiXia,Ban Shiliang.Energy levels of a polaron in a finite parabolic quantum well[J].International Journal of Modern Physics B,2001,15(5):527-535.
[15]Zhao Fengqi,Gong Jian.Energy of a polaron in a wurtzite nitride finite parabolic quantum well[J].Chinese Physics Letters,2007,24(5):1327-1330.
[16]赵凤岐,周炳卿.外电场作用下纤锌矿氮化物抛物量子阱中极化子能级[J].物理学报,2007,56(8):4856-4863.
[17]吴海岩,赵凤岐,包乌日塔,等.纤锌矿GaN/AlxGa1-xN量子阱中自由极化子能级[J].固体电子学研究与进展,2011,31(4):339-344.
[18]Zhao Fengqi,Zhang Min,Bai Jinhua.Effects of electron-optical phonon interactions on the polaron energy in a wurtzite ZnO/MgxZn1-xO quantum well[J].Chinese Physics B,2015,24(9):448-453.
[19]Pan Hongyu,Zhao Fengqi.Free polaron energy levels in AlyGa1-yN/AlxGa1-xN triangle quantum well structures[J].Modern Physics Letters B,2017,31(17):1750187.
[20]W J Huybrechts.Note on the ground-state energy of the Feynman polaron model[J].J Phys C,1976,9(8):L211-212.
[2]Er9elebi A,Tomak M.Polaron effects on the energy levels of hydrogenic impurities in GaAs/Ga1-xAlx As quantum well structures[J].Solid State Communications,1985,54(10):883-885.
[3]Singleton J,Nicholas R J,Rogers D C,et al.Cyclotron resonance of electrons in a narrow GaAs/(Ga,Al)As quantum well:Polaron effects and non-parabolicity[J].Surface Science,1988,196(1):429-436.
[4]Kong Xiaojun,Wei Chengwen,Gu Shiwei.Cyclotron resonance of a magnetopolaron in a semiconductor quantum well[J].Phys Rev B,1989,39(5):3230-3238.
[5]Comas F,Trallero-Giner C,Riera R.LO-phonon confinement and polaron effect in a quantum well[J].Phys Rev B,1989,39(9):5907-5912.
[6]Rücker H,Mora-Ramos M,Comas F.Magnetopolaron in a quantum well[J].Phys Stat Sol(B),1990,159:117-125.
[7]Hai Guoqiang,Peeters F M,Devreese J T.Polaron energy and effective mass in a quantum well[J].Physical Review B,1990,42(17):11063-11072.
[8]黄卓和,陈传誉,陈芝得,等.稳恒电磁场中量子阱内极化子的基态能量[J].物理学报,1994,43(1):91-98.
[9]Zheng Ruisheng,Ban Shiliang,Liang Xixia.Polaronic effect on the electron energy spectrum in a quantum well[J].Journal of Physics:Condensed Matter,1994,6(47):10307-10316.
[10]Zheng Yisong,Lu Tianquan.Polaron energy and effective mass in a quantum well[J].Physica B:Physics of Condensed Matter,1995,212(4):395-403.
[11]Wei Baohua,Chang Sub Kim.Self-energy of a confined polaron in a quantum well:Comparison among different phonon models[J].Phys Rev B,1998,58(15):9623-9626.
[12]Boichuk V I,Borusevych V A.Polaron energy spectrum in quasi-two-dimensional nanoheterosystems with aquantum well of finite and infinite depth[J].Journal of Physical Studies,2006,10(1):39-45.
[13]Zhu Xiuqin,Shi Junjie,Liu Zixin,et al.Energy and effective mass of a polaron in asymmetric semiconductor quantum well structures[J].Zeitschrift für Physik B Condensed Matter,1997,102(2):207-216.
[14]Zhao FengQi,Liang XiXia,Ban Shiliang.Energy levels of a polaron in a finite parabolic quantum well[J].International Journal of Modern Physics B,2001,15(5):527-535.
[15]Zhao Fengqi,Gong Jian.Energy of a polaron in a wurtzite nitride finite parabolic quantum well[J].Chinese Physics Letters,2007,24(5):1327-1330.
[16]赵凤岐,周炳卿.外电场作用下纤锌矿氮化物抛物量子阱中极化子能级[J].物理学报,2007,56(8):4856-4863.
[17]吴海岩,赵凤岐,包乌日塔,等.纤锌矿GaN/AlxGa1-xN量子阱中自由极化子能级[J].固体电子学研究与进展,2011,31(4):339-344.
[18]Zhao Fengqi,Zhang Min,Bai Jinhua.Effects of electron-optical phonon interactions on the polaron energy in a wurtzite ZnO/MgxZn1-xO quantum well[J].Chinese Physics B,2015,24(9):448-453.
[19]Pan Hongyu,Zhao Fengqi.Free polaron energy levels in AlyGa1-yN/AlxGa1-xN triangle quantum well structures[J].Modern Physics Letters B,2017,31(17):1750187.
[20]W J Huybrechts.Note on the ground-state energy of the Feynman polaron model[J].J Phys C,1976,9(8):L211-212.