Topological Superconductors and Category Theory

  title={Topological Superconductors and Category Theory},
  author={Andrei Bernevig and Titus Neupert},
Abstract We give a pedagogical introduction to topologically ordered states of matter, with the aim of familiarizing the reader with their axiomatic topological quantum field theory description. We introduce basic noninteracting topological phases of matter protected by symmetries, including the Su-Schrieffer-Heeger model and the one-dimensional p-wave superconductor. The defining properties of topologically ordered states are illustrated explicitly using the toric code and – on a more abstract… CONTINUE READING

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Topological Insulators and Topological Superconductors

B. A. Bernevig, T. L. Hughes