《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：物理研究所 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

 

联 系 人：李军      联系方式：82649890

Email：ljcj007@iphy.ac.cn

                                 物理研究所研究生部

                                 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