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Random-matrix theory of topological states of matter

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If you have a question about this talk, please contact Dr G Moller.

The theory of random matrices goes back to the 1960’s and has found applications in many branches of physics. In condensed matter physics, random-matrix theory can describe the universal properties of disordered metals and superconductors, dependent only on the presence or absence of fundamental symmetries in 10 symmetry classes (the socalled “ten-fold way”). It was recently discovered that 5 out of these 10 symmetry classes have a topological invariant, which identifies distinct states of matter. Some of these topological superconductors and insulators have been realized in the laboratory. In this seminar we will discuss how random-matrix theory can be extended to account for topological properties.

This talk is part of the TCM Blackboard Series series.

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