电场对三角量子阱中强耦合磁极化子性质的影响
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摘要
采用LLP变分法和幺正变换的方法,研究了电场对三角量子阱中强耦合磁极化子性质的影响。通过理论推导得到了极化子基态结合能的表达式,结果显示极化子基态结合能分别是电子-声子耦合强度、电子面密度、磁场回旋频率及电场强度的函数。在不同电场下,通过数值计算分别得到了极化子基态结合能与电子-声子耦合强度、磁场回旋频率及电子面密度之间的函数关系。数值计算结果表明:极化子的基态结合能是电子-声子耦合强度和电场强度的增函数,而且是电子面密度和磁场回旋频率的减函数。
By LLP variational method and unitary transformation method,we studied the influence of the electric field on the properties of the strong-couping magnetopolaron in a triangular quantum well.The expression of the polaron's ground state binding energy was obtained through theoretical derivation.The results showed that the polaron's ground state binding energy is a function of the electron-phonon coupling strength,the electron areal density,the magnetic field convolution frequency,and the electric field strength.At different electric field,we derived the relations between the strong-couping magnetopolaron ground state binding energy with the electron-phonon coupling strength,the cyclotron resonance frequency of magnetic field,and the electron areal density,respectively.Our numerical results show that the strongcouping magnetopolaron ground state binding energy is an increasing function of the electron-phonon coupling strength and the electric field,whereas it is a decreasing function of electron areal density and the cyclotron frequency of the magnetic field.
By LLP variational method and unitary transformation method,we studied the influence of the electric field on the properties of the strong-couping magnetopolaron in a triangular quantum well.The expression of the polaron's ground state binding energy was obtained through theoretical derivation.The results showed that the polaron's ground state binding energy is a function of the electron-phonon coupling strength,the electron areal density,the magnetic field convolution frequency,and the electric field strength.At different electric field,we derived the relations between the strong-couping magnetopolaron ground state binding energy with the electron-phonon coupling strength,the cyclotron resonance frequency of magnetic field,and the electron areal density,respectively.Our numerical results show that the strongcouping magnetopolaron ground state binding energy is an increasing function of the electron-phonon coupling strength and the electric field,whereas it is a decreasing function of electron areal density and the cyclotron frequency of the magnetic field.
引文
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[11]蔡春雨,赵翠兰,肖景林.磁场对非对称半指数量子阱中极化子振动频率的影响[J].内蒙古民族大学学报,2017,32(3):194-196.DOI:10.14045/j.cnki.15-1220.2017.03.003.
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[13]黄卓和,陈传誉.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.
[14]额尔敦朝鲁,徐秋,刘宝海,等.磁场中准二维强耦合磁极化子的有效质量[J].发光学报,2006,27(6):871-876.
[15]李亚利,单淑萍.三角量子阱中磁极化子的性质[J].半导体学报,2015,36(8):082005-4.DOI:10.1088/1674-4926/3618/082005.
[16]张剑锋,单淑萍.三角量子阱中束缚磁极化子的性质[J].华东师范大学学报(自然科学版),2015,2015(6):101-107.DOI:10.3969/j.issn.1000-5641.2015.06.013.
[17]张海瑞,肖景林.Rashba效应影响下三角量子阱中弱耦合极化子的有效质量[J].发光学报,2010,31(1):000012-16.
[2]Gu Y,Zhang Y G,Chen X Y,et al.Effects of Well Widths and Well Numbers on InP-based Triangular Quantum well Lasers Beyond 2.4μm[J].Journal Crystal Growth,2015,4(25):376-380.DOI:10.1016/j.jcry.sgro.2015.02.091.
[3]Bibik A J,Gerlach B,Smondyrev M A.Large Polaron in Asymmetrical Rectangular Quantum Well[J].Physica Status Solidi(B),2003,237(1):186-193.DOI:10.1002/pssb.200301793.
[4]Tilagam A,Lohe M A.Coherent State Polarons in Quantum Wells[J].Physica E,2005,25(4):625-635.DOI:10.1016/j.physe.2004.09.013.
[5]白瑞峰,李鑫,孙勇.非对称高斯势量子阱磁极化子的平均声子数[J].内蒙古民族大学学报,2016,31(5):375-377.DOI:10.14045/j.cnki.15-1220.2016.05.003.
[6]张翠玲.半导体量子阱磁极化子能量和声子出现几率[J].四川大学学报,2009,46(4):1071-1076.DOI:10.3969/.ISSN.0490-6756.2009.04.040.
[7]简荣华,赵翠兰.半导体量子阱中弱耦合磁极化子的性质[J].发光学报,2008,29(2):000215-220.
[8]萨如拉,关玉琴.氮化物抛物量子阱中磁极化子的能量[J].发光学报,2007,28(5):667-672.
[9]赵凤岐,萨初荣贵,乌仁图雅.纤锌矿GaN/Al0.3Ga0.7N量子阱中磁极化子的能量[J].光学学报,2011,31(4):209-215.DOI:10.3788/AOS201131.0416003.
[10]Kalpana P,Jayakumar K.Bound Magnetic Polaron in a Semagnetic Double Quantum Well[J].Physica E:Lowdimensional Systems and Nanostructures,2017,93:252-256.DOI:10.1016/j.physe.2017.06.025Get rights and content.
[11]蔡春雨,赵翠兰,肖景林.磁场对非对称半指数量子阱中极化子振动频率的影响[J].内蒙古民族大学学报,2017,32(3):194-196.DOI:10.14045/j.cnki.15-1220.2017.03.003.
[12]于毅夫,尹辑文,肖景林.磁场中束缚极化子的有效质量[J].发光学报,2005,26(3):294-298.
[13]黄卓和,陈传誉.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.
[14]额尔敦朝鲁,徐秋,刘宝海,等.磁场中准二维强耦合磁极化子的有效质量[J].发光学报,2006,27(6):871-876.
[15]李亚利,单淑萍.三角量子阱中磁极化子的性质[J].半导体学报,2015,36(8):082005-4.DOI:10.1088/1674-4926/3618/082005.
[16]张剑锋,单淑萍.三角量子阱中束缚磁极化子的性质[J].华东师范大学学报(自然科学版),2015,2015(6):101-107.DOI:10.3969/j.issn.1000-5641.2015.06.013.
[17]张海瑞,肖景林.Rashba效应影响下三角量子阱中弱耦合极化子的有效质量[J].发光学报,2010,31(1):000012-16.