PPT-1 Topological Quantum Phenomena and Gauge Theories

Kyoto University YITP Masatoshi SATO Mahito Kohmoto University of Tokyo ISSP YongShi Wu Utah University In collaboration with 2 Review paper on Topological Quantum Phenomena Y Tanaka MS N . 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, . 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. 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. . 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. Weisong. . Tu. Department of Physics and Astronomy. University of Tennessee. Instructor: Dr. . George . Siopsis. Introduction. Quantum Hall Effect. The quantum Hall effect is a quantum-mechanical version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields. In the quantum hall effect, and the conductivity can be represented as. 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. $$ NSF, AFOSR MURI, DARPA, ARO. Harvard-MIT. Takuya Kitagawa, . Erez. Berg, Mark Rudner. Eugene . Demler. . Harvard University. Also collaboration with A. White’s group, Univ. of Queensland. 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. . Cumrun Vafa. . Oct. 31, 2017. . 20 . Years . Later: The Many Faces of . AdS. /CFT. Princeton University. HaldaneFest. , Princeton, September 14, 2011. Gregory W. Moore . 1. Rutgers University . Introduction. 2. Main interaction is . AdS. /CMT: c.f. S. . Sachdev. talk. CMT. PhysicalMathematics. /. String Theory. Second Biennial Seminar on the Philosophical Epistemological and Methodological Implications of Complexity Theory Havana Cuba January 2004ABSTRACT The sciences of complexity have recently revealed a Cwith topologists 147I don146t think like a mathema-tician148 admits Kane a theoretical physicist who has tended to focus on tangible problems about solid materials He is not alone Physicists have typ . - 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 . Iris Cong. Dept. of Computer Science, UCLA. Jointly authored with Prof. . Zhenghan. Wang (advisor) and . Meng. Cheng. arXiv:1609.02037. Contents. Introduction. Part I: Hamiltonian Realization. Part II: Algebraic Theory.