Proximity effects in topological insulator heterostructures

Topological insulators （Tls） are bulk insulators that possess robust helical conducting states along their interfaces with conventional insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in which con- ventional proximity effects give rise to a series of exotic physical phenomena. This paper reviews our recent studies on the potential existence of topological proximity effects at the interface between a topological insulator and a normal insu- lator or other topologically trivial systems. Using first-principles approaches, we have realized the tunability of the vertical location of the topological helical state via intriguing dual-proximity effects. To further elucidate the control parameters of this effect, we have used the graphene-based heterostructures as prototypical systems to reveal a more complete phase diagram. On the application side of the topological helical states, we have presented a catalysis example, where the topo- logical helical state plays an essential role in facilitating surface reactions by serving as an effective electron bath, These discoveries lay the foundation for accurate manipulation of the real space properties of the topological helical state in TI- based heterostructures and pave the way for realization of the salient functionality of topological insulators in future device applications.     

潮汐对地球自转阻滞作用的估计

讨论了潮汐阻滞地球自转的机制,利用一个简化的模型计算了由潮汐引起的地球自转角加速度的数量级,得到了比较满意的结果,并讨论了几个简化假设的合理性,还利用该模型计算了当地球自转速度不再变化时的几个数据.     

用群论讨论一道电象法题目

对静电学中用电象法求解两无穷大接地金属板间楔形区域内的电场的题目,利用群论方法加以讨论,给出了可求解的条件及一般的象电荷分布.最后证明了导出此分布所用的条件是对此题应用电象法的充分必要条件.