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Topology, Semimetals and Gapless Phases

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If you have a question about this talk, please contact Dr. Carl Turner.

I will examine the role of topological ideas in understanding semimetals, gapless phases whose Fermi surfaces may be shrunk to isolated point nodes. First, I will review the theory of ‘Weyl semimetals’ that arise from accidental degeneracies in 3D crystals, and explore the consequences of the resulting band topology, including for “quantum anomalies”. I will show that the interplay of crystal symmetry and topology can aid in identifying “filling-enforced” semimetals, including in strongly correlated systems such as heavy fermion materials. I will also sketch how the topological underpinnings of these gapless phases may be probed experimentally via transport and spectroscopy, and through numerical simulations of their descendant gapped phases.

This talk is part of the Quantum Fields and Strings Seminars series.

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