From local symmetry to band structure topology
COFFEE_KLATCH · Invited
Abstract
Weyl semi-metals and their symmetry-protected generalizations are sought after for their exotic Fermi arcs and unconventional transport properties. Symmetry can force these degeneracies to lie on special points or lines. However, it can be a challenge to find materials that realize these band crossings near the Fermi level. Using the theory of topological quantum chemistry, we describe how the local symmetry properties of a chemical compound (i.e., its orbitals and crystal structure) determine which symmetry representations appear at each point in the Brillouin zone and, ultimately, the topology of the band structure. This theory unites symmetry-enforced semi-metals and topological crystalline insulators. We describe algorithms to search for materials that realize these phases.
*NSF EAGER (DMR -- 1643312), ONR - N00014-14-1-0330, NSF-MRSEC DMR-1420541, ARO MURI W911NF-12-1-0461
Department of Energy de-sc0016239, the Simons Investigator Award, the Packard Foundation and the Schmidt Fund for Innovative Research
FIS2016-75862-P and FIS2013-48286-C2-1-P national projects of
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Presenters
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Jennifer Cano
- Princeton Center for Theoretical Science, Princeton University
- Princeton Center for Theoretical Science
- Physics, Princeton University
- Princeton University
- Center for Theoretical Science, Princeton University
- Physics, Princeton