PPT-Topological Superconductivity in One Dimension and Quasi-

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O ne Dimension Bertrand I Halperin Harvard University Conference on Topological Insulators and Mathematical Science Harvard University September 2014 References

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Topological Superconductivity in One Dimension and Quasi-: Transcript

O ne Dimension Bertrand I Halperin Harvard University Conference on Topological Insulators and Mathematical Science Harvard University September 2014 References Jay D Sau. ISSP, The University of Tokyo, Masatoshi Sato. 2. 3. Outline. . What is topological superconductor. T. opological superconductors in various systems. 4. What is topological superconductor ?. Topological superconductors . MathematicsSubjectClassication.54C08.Keywordsandphrases.m-structure,(;s)-continuous,-quasi-irresolute,weakly-irresolute,-quasi-irresolute,m-compact,S-closed,m-quasi-closedgraph.c\r2005MathematicaM . True Experiments. Characteristics. Threats to validity controlled by experiments. Threats not controlled by experiments. Obstacles to true experiments in the field. . Quasi-experiments. The logic of quasi-experiments . 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. in condensed matter research. . Tom Lancaster. Durham University, UK. Condensed matter physics in a nutshell. Lev Landau (1908-1968). T>T. C. T<T. C. T>T. C. T<T. C. What can we do with . 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. Leon Cooper . Walther . Meissner. Sir James Dewar . Heike . Kamerlingh-Onnes. . The technological advance that allowed . Onnes. to observe superconductivity was?. liquefying helium . (T = 4 K). Nanoribbons. Tudor D. Stanescu. West Virginia University. Collaborators:. Piyapong. . Sitthison. (WVU). Brasov . September, 2014. Outline. Majorana fermions in solid state structures: status and . Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. 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 . Antonio M. Garc. í. a-Garc. í. a . Cavendish Laboratory, Cambridge University. Pedro Ribeiro Lisbon. Bermudez. Cambridge . C. azalilla. Tsinghua. 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. BCS theory . Superconductivity phenomenology, London equation, BCS Hamiltonian, . Bogoliubov. -de . Gennes. Hamiltonian, BCS ground state, gap equation. Resistivity goes to 0 abruptly at temperature .

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