PPT-Topological Insulators

and Beyond Kai Sun University of Maryland College Park Outline Topological state of matter Topological nontrivial structure and topological index Anomalous quantum Hall state and the Chern. Syed. Ali . Raza. Supervisor: Dr. . Pervez. . Hoodbhoy. What are Topological insulators?. Fairly recently discovered electronic phases of matter.. Theoretically predicted in 2005 and 2007 by Zhang, . I. Introduction - Graphene - Tie reverl er n Krer‟ heore II. Topological Insulators. No conduction through. . interior of material. Current flows along . surfaces,. not terribly sensitive . to . defects. With spin-orbit . interaction, . similar to intrinsic . in a collaboration between the PFC at JQI . and . CalTech. have . shown that it may be possible to take a conventional semiconductor and endow it with topological properties without subjecting the material to extreme environmental conditions or fundamentally changing its solid state structure. . A. Effective . action of (2+1. )-D . insulators. Dimensionally reduced Dirac . model in . (2+1)-. D. Replace gauge . fields in the . z. and . w. directions:. Integrate out fermion fields. Coefficient in terms of Green’s functions. Superconductors. Akira . Furusaki. 2012/2/8. 1. YIPQS Symposium. Condensed matter physics. Diversity of materials. Understand their properties. Find. new states of matter. Emergent behavior of electron systems at low energy. Warm Up. 1. In the diagram above, the water in the pan is changing from a liquid to a gas, or ____.. a. Melting c. condensing . b. freezing d. evaporating . 2. What is matter?. The amount of matter something contains.. By . Pearce, Adam, Nathan and . Conor. . Materials . We needed wire:. W. e needed crocodile clips. We needed batteries. And last we needed a bulb. Method 1. Create a simple circuit using wire, crocodile clips, battery and a bulb. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. 组员：马润泽 金佳霖 孙晋茹 宋化鼎 罗巍 申攀攀 沈齐欣 生冀明 刘易. Outline. Introduction. Brief history of topological insulators. Band theory. Quantum Hall effect. Superconducting proximity effect. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Hafezi. , S. Mittal, J. Fan, A. . Migdall. , J.M. Taylor, Nature Photonics, . (. 2013. ) . doi:10.1038/nphoton.2013.274. . Topology . -- the understanding of how things are connected -- remains abstract, even with the popular example of doughnuts and coffee cups. This concept, esoteric as it appears, is also neat because it is the basis for creating . Graph Traversals. Spring 2015. Yanling He. Graphs. A Graph G = (V, E). Represents relationships among items. Can be directed or undirected. Complexity is O(|E|+|V|) is O(|V|^2). Graph Data Structure.