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Master class with Charles Kane

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Title
Master class with Charles Kane
Subtitle
Topological band theory of insulators and superconductors
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7
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CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2012
LanguageEnglish
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Abstract
We will give a pedagogical introduction to the topological classification of insulators and superconductors with an emphasis on the correspondence between bulk topological invariants and protected gapless boundary modes. We will begin with a discussion of band topology in one dimension followed by the theory of the integer quantum Hall effect, time reversal invariant Z2 topological insulators in two and three dimensions and topological superconductors. We will discuss the general classification of gapped free fermion Hamiltonians, along with its generalization to include topological defects. We will conclude with a discussion of Majorana fermion states at the boundaries of topological superconductors and in superconductor - topological insulator heterostructure devices.
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