PPT-Topological States of Matter

Girish S Setlur Department of Physics IIT Guwahati COPYRIGHT DISCLAIMER ALL ILLUSTRATIONS AND SOME PASSAGES IN THESE SLIDES HAVE BEEN DOWNLOADED FROM VARIOUS INTERNET SOURCES LISTING EACH SOURCE SEPARATELY WILL TAKE UP ALL MY TIME SO I SHALL DESIST FROM DOING SO. What are the three commonly known states of matter?. What is the . gas, liquid. and . solid. form of water?. How does matter change state?. Watch this animation on states of matter (click “Play Video”):. 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. Polarization. : . an E. ntanglement Measure . of . Topological Spin and Chiral Central Charge. Xiao-Liang Qi. Stanford University. Banff, 02/06/2013. Reference: . Hong-. Hao. . Tu. , Yi Zhang, Xiao-Liang Qi, . Kyoto University, YITP, Masatoshi SATO. Mahito Kohmoto (University of Tokyo, ISSP). . Yong-Shi Wu (Utah University). In collaboration with. 2. Review paper on Topological Quantum Phenomena. Y. Tanaka, MS, N. . Symmetry. Topology. Interplay between symmetry and topology has led to a new understanding of . electronic phases of matter.. Conceptual simplification. Conservation laws. Distinguish phases of matter. 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. Analysis . of the Topological Entanglement . Entropy. and Multipartite correlations. Kohtaro Kato (. The . University of . Tokyo). based on . PRA, 93, 022317 (2016). joint work with. Fabian Furrer (. 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 . ECE 580. 12. Graph Theory, Topological Analysis - Terms. Topological Analysis: General, systematic, suited for CAD. Graph. : Nodes and directed branches, describes the topology of the circuit, ref. direction. Helps visualize CAD. Matter and Energy What is matter? Matter and Energy What is matter? It's what everything that occupies space and has mass is made of And everything like that is made out of chemical elements There are 92 naturally occurring chemical elements, and a number of synthetic ones 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. Topological methods and cortical thickness. Chung et al., 2009 discovered differences in cortical thickness comparing individuals with autism to controls using topology. Work flow. Visualization of persistence plot. . - Insulating State, Topology and Band Theory. . II. Band Topology in One Dimension. . - Berry phase and electric polarization. - Su Schrieffer . Heeger. model : . domain wall states and .