Topological responses to dislocations in inversion-breaking Weyl semimetals

Three-dimensional (3D) semimetals have established themselves to be a fruitful playground for novel topological physics. Recently it was discovered that 3D semimetals, with gaplessness protected via symmorphic symmetries, possess topological invariants associated with unquantized anomalies [1]. Such anomalies describe topological responses to lattice defects such as dislocations and disclinations. In this talk we will explore and extend these concepts in the context of both type-I and II Weyl semimetals with broken inversion symmetry.

[1] L. Gioia, Chong Wang, and A. A. Burkov, Unquantized anomalies in topological semimetals, Phys. Rev. Research 3, 043067 (2021).