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单层黑磷烯中磁极化子的基态性质

Ground state properties of magneticpolaron in monolayer black phosphonene

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摘要

利用Lee-Low-Pines (LLP)幺正变换、线性组合算符和变分方法,推导出均匀磁场中极性基 底上单层黑磷烯中极化子的基态能量公式,研究了磁场、基底材料对单层黑磷烯中极化子基态能量的影响。 数值计算表明:基底与单层黑磷烯之间的垂直距离和截断波矢保持不变时,极化子基态能量随磁场强度的增大 而增大,随基底材料声子频率的增大而减小,不同基底上极化子的基态能量不同,但变化规律一致。当基底与 单层黑磷烯之间的垂直距离和磁场强度保持不变时,极化子基态能量随截断波矢的增大而增大。这些 结果表明,单层黑磷烯中极化子的基态能量与外磁场和基底材料有关。

Abstract

By using the Lee-Low-Pines (LLP) unitary transformation, linear combination operator and variational method, the ground state energy formula of polaron in monolayer black phosphonene on polar substrate in uniform magnetic field is derived, and the effects of magnetic field and substrate material on the ground state energy of the polaron in monolayer black phosene are investigated. The numerical calculation shows that the ground state energy of the polaron increases with the increasing of the magnetic field strength when the vertical distance between the substrate and monolayer black phosphonene and the cutoff wave vector remains unchanged, and decreases with the increasing of the phonon energy of the substrate material. The ground state energy of the polaron on different substrates is different, but the variation law is consistent. When the vertical distance and magnetic field strength remain unchanged, the ground state energy of the polaron increases with the increasing of the cutoff wave vector. These results indicate that the ground state energy of the polaron in the monolayer black phosphonene is related to the external magnetic field and substrate material.

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中图分类号:O469

DOI:10.3969/j.issn.1007-5461. 2019.04.019

所属栏目:半导体光电

基金项目:Supported by National Natural Science Foundation of China (国家自然科学基金,11464034), Natural Science Foundation of Inner Mogolia Autonomous Region of China (内蒙古自然科学基金, 2016MS0119), Graduate Scientific Innovation Research Project of Inner Mongolia University for Nationalities (内蒙古民族大学研究生科研创新项目, NMDSS1873)

收稿日期:2019-05-08

修改稿日期:2019-06-04

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刘佳丽:内蒙古民族大学物理与电子信息学院, 内蒙古 通辽 028043
赵翠兰:内蒙古民族大学物理与电子信息学院, 内蒙古 通辽 028043
王 龙:内蒙古民族大学物理与电子信息学院, 内蒙古 通辽 028043
李大伟:内蒙古民族大学物理与电子信息学院, 内蒙古 通辽 028043

联系人作者:刘佳丽(1621665670@qq.com)

备注:刘佳丽 (1995-), 女,内蒙古通辽人,研究生,从事凝聚态光学性质方面的研究。

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引用该论文

LIUJiali,ZHAO Cuilan,WANG Long,LI Dawei. Ground state properties of magneticpolaron in monolayer black phosphonene[J]. Chinese Journal of Quantum Electronics, 2019, 36(4): 500-505

刘佳丽,赵翠兰,王 龙,李大伟. 单层黑磷烯中磁极化子的基态性质[J]. 量子电子学报, 2019, 36(4): 500-505

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