自然科学版
陕西师范大学学报(自然科学版)
物理学
石墨烯磁势垒量子点的能级结构
PDF下载 ()
邓立娟1, 左凯丽2, 阎维贤2*
(1 山西大学 理论物理研究所; 2 山西大学 物理电子工程学院, 山西 太原 030006)
邓立娟,女,硕士研究生,研究方向为石墨烯电学性质。E-mail: 499097568@qq.com
摘要:
研究了磁势垒量子点中有质量和无质量Dirac粒子的能级结构。通过求解Dirac方程,利用数值计算出圆内圆外磁矢势方向相同和相反以及有质量时量子点的能谱结构。研究表明,当圆内圆外的磁矢势方向相同时,随着量子点半径的增加,能级的变化体现出量子点内外磁场的竞争关系。与量子点内外的磁矢势方向相同显著不同,量子点内外的磁矢势方向相反时,量子点外的磁场占主导地位,其引起的朗道能级始终出现。质量的引进让系统转化为一个反量子点,且有质量Dirac粒子能级的平方获得一个跟质量相关的平移。
关键词:
石墨烯量子点; 磁势垒; 能级结构
收稿日期:
2015-07-18
中图分类号:
O469
文献标识码:
A
文章编号:
1672-4291(2016)01-0049-05doi:10.15983/j.cnki.jsnu.2016.01.216
基金项目:
国家基础科学人才培养基金(J1103210)
Doi:
The energy-level structures of the graphene quantum dot induced by the magnetic barriers
DENG Lijuan1, ZUO Kaili2, YAN Weixian2*
(1 Institute of Theoretical Physics, Shanxi University; 2 College of Physics and Electronics Engineering, Shanxi University, Taiyuan 030006, Shanxi, China)
Abstract:
The energy-level structures of the graphene quantum dot influenced by magnetic barrier is investigated.Under the condition of the magnetic fields inside and outside the dot are parallel, as increase of the dot size,the energy-level structure are determined by the competition of two magnetic. The accompanying Landau levels from the field outside the dot always appear when the directions of the two vector potentials are mutually anti-parallel. The addition of the mass makes the dot to be an antidot, whereas the squared energy levels gain a constant associated with the mass.
KeyWords:
graphene quantum dot; magnetic barriers; energy-level structures