【教务】《拓扑能带论介绍》开课通知

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更新于2018-06-26

 



《拓扑能带论介绍》开课通知

 

各位同学:

《拓扑能带论介绍》将于2018年8月6日(周一)下午14:00开课,请准备上课的同学于7月6日前完成网上报名。

主 讲 人:戴希 教授

上课时间:2018年8月6日~8月24日

每周一、三、五下午14:00-16:00

上课地点:物理所M830室

选课须知:本课程计1学分,为物理所理论室开设的博士选修专业学位课,本课程面向中国科学院大学物理科学学院全体同学,也欢迎其他相关专业同学选修

网上报名时间:2018年6月26日至7月9日

请同学们登录国科大教务系统∼所级教务报名,进行网上选课,教室座位有限,为维护授课秩序,优先接待选课同学

人:李军      联系方式:82649890

Email:ljcj007@iphy.ac.cn

 

研究生部

2018年6月26日

分课时教学实施计划:

1.    Mathematical preparation: a bit of differential geometry, topology, manifold, connection, fiber bundle…

2.    review of band theory: Bloch theorem, energy band, density functional theory and LDA, Berry’s curvature, Wannier function and maximum localized Wannier function

3.    TI in one dimensional systems: SSH model, Wannier center, edge states, Kitaev chain and Majarana bound states

4.    Spin Hall effect and quantum spin Hall effect: Spin Chern number, QWZ model and Haldane model

5.    TI without time reversal symmetry: Chern insulators and quantum anomalous Hall effect, U(1) phase obstruction, Wannier center evolution and Chern number

6.    Z2 topological invariance: U(2N) non-Abelian obstruction & U(2N) Wilson loop and Wannier center evolution

7.    Graphene, quantum spin Hall systems and 2D topological insulators: electronic structure of Graphene, Symmetry and spin orbital coupling, HgTe quantum Well, band inversion mechanism and BHZ model

8.    3D topological insulators: strong and weak topological insulators, topological insulators with inversion symmetry, Bi/Sb alloy and Bi2Se3 family

9.    Dirac type surface states in 3D topological insulators I: spin-momentum locking, pseudo spin and real spin, angle resolved photo emission; Circular dichroism; spin resolved ARPES; surface Landau levels and quantum oscillation; weak localization and surface transport; surface quantum Hall effect

10.  magnetically doped Bi2Se3/Bi2Te3 thin film and quantum anomalous Hall effect: band inversion and Van Vleck mechanism for ferromagnetism; chiral edge states

11.  from 3D topological insulators to topological semi metal: Dirac semimetal, Weyl semimetal and node-line semimetal

12.  transport properties in topological semimetal: chiral anomaly, chiral magnetic effect and negative magneto-resistance