教学研究

石墨烯中非均匀单轴应力产生的赝朗道能级的解析计算

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  • 北京航空航天大学 物理学院,北京 100089
孙俊松(1998—),男,重庆人,北京航空航天大学物理学院20级研究生.

收稿日期: 2021-12-05

  修回日期: 2022-02-22

  网络出版日期: 2023-01-06

基金资助

国家自然科学基金(12074022)资助

Analytical solution of pseudo-Landau levels in graphene under an inhomogeneous uniaxial strain

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  • School of Physics, Beihang University, Beijing 100089, China

Received date: 2021-12-05

  Revised date: 2022-02-22

  Online published: 2023-01-06

摘要

石墨烯是凝聚态物理学中的前沿研究内容.本文介绍了石墨烯在非均匀单轴应力产生的赝磁场下的赝朗道能级的解析求解.我们详细展示了应力下低能有效哈密顿量的导出,相关微分方程的求解.该赝朗道能级的求解,综合运用大学生所学的数理和物理基本知识,对相关理论课程很有参考价值.

本文引用格式

孙俊松, 马女森, 郭怀明 . 石墨烯中非均匀单轴应力产生的赝朗道能级的解析计算[J]. 大学物理, 2022 , 41(11) : 1 . DOI: 10.16854/j.cnki.1000-0712.210602

Abstract

Graphene is a cutting-edge research topic in condensed matter physics. This paper introduces the analytical solution of the pseudo-Landau energy level of graphene under a pseudo-magnetic field generated by the non-uniform uniaxial strain. We show in detail the derivation of the low-energy effective Hamiltonian under strain and the solution of related differential equations. The solution of the pseudo-Landau energy level, comprehensively using the basic knowledge of mathematics and physics learned by college students, is of great reference value for related  theoretical courses

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