各向异性量子点中的二维磁极化子效应
PDF下载 (9826)蒋倩云,王彦杰,潘孝胤 *.各向异性量子点中的二维磁极化子效应[J].宁波大学学报(理工版),2018,31(4):92-98.DOI:
JIANG Qian-yun,WANG Yan-jie,PAN Xiao-yin *.Polaron effects on a two-dimensional anisotropic parabolic quantum dot in a perpendicular magnetic field[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(4):92-98.DOI:
| Title: | Polaron effects on a two-dimensional anisotropic parabolic quantum dot in a perpendicular magnetic field |
| 作者: | 蒋倩云, 王彦杰, 潘孝胤 * |
| Author(s): | JIANG Qian-yun, WANG Yan-jie, PAN Xiao-yin * |
| 关键词: | 磁极化子; 电子-声子相互作用; 量子点 |
| Keywords: | magnetopolaron; electron-phonon interactions; quantum dots |
| 分类号: | O041 |
| 文献标识码: | A |
| 摘要: | 本文研究了在垂直均匀磁场下各向异性量子点中具有中等电子-声子耦合强度的二维磁极化子效应. 构造一个变分波函数, 它由两部分的乘积组成, 第一部分是相干声子态, 由对声子真空态的Lee-Low-Pines变换得来; 第二部分是电子波函数, 由二维各向异性谐振子波函数通过特殊幺正变换得来. 然后通过变分法获得极化子能谱的积分表达式. 利用数值计算的结果, 阐明了磁场和各向异性对小尺寸量子点的基态和第一、第二激发态能量的影响. |
| Abstract: | The polaronic effects under a perpendicular uniform magnetic field in two-dimensional anisotropic parabolic quantum dots are studied for an intermediate electron-phonon coupling strength. A variational wave function is constructed as a product form of a part of coherent phonons generated by the Lee-Low-Pines transformation from the vacuum and an electronic part, with the latter being a special unitary transformation from the wave function of a two-dimensional simple anisotropic harmonic oscillator. Integral expressions for the polaron energy spectrum are obtained by the minimization procedure. After evaluating the results numerically, the magnetic and anisotropic effects for the ground and first two excited states of small size quantum dots are demonstrated. |
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| 备注/Memo: | 收稿日期: 2017－12－25. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（11275100）.第一作者: 蒋倩云（1992－）, 女, 湖南怀化人, 在读硕士研究生, 主要研究方向: 磁极化子相关计算. E-mail: 229496753@qq.com*通信作者: 潘孝胤（1974－）, 男, 浙江宁海人, 研究员, 主要研究方向: 凝聚态理论. E-mail: panxiaoyin@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
