Geometric aspects of 3+1d crystalline topological insulators and the chiral anomaly in topological Weyl superfluids
- Date: Wednesday 23 October 2019, 15:00 – 16:00
- Location: EC Stoner SR (7.70)
- Type: Theoretical physics, Seminars, Physics and Astronomy
- Cost: Free
Dr Jaakko Nissinen (Aalto University, Finland) will be presenting a seminar on his research in theoretical physics.
Topological responses have usually universally quantized coefficients and protected boundary modes. They arise from topological invariants encoded by characteristic classes, theta and Chern-Simons terms, and are related by the concept of anomaly inflow from a higher dimensional theory.
In his talk, Dr Jaakko Nissinen (Aalto University, Finland) will discuss two examples of "almost topological" responses in three-dimensions, both with additional geometric fields entering the response.
First, he will discuss the three-dimensional quantum Hall effect and electric polarization in topological crystalline insulators in terms of so-called elasticity tetrads. He shows in what sense the mixed response with elasticity tetrads and electromagnetic fields is geometrical and topological, as well as how gauge invariance is maintained by the anomaly inflow, even in the presence of dislocations defects.
Secondly, time permitting, he will discuss how anomalous momentum transport in topological Weyl superfluids (and superconductors) in the presence of textures and superflow can be given a consistent interpretation as the chiral Nieh-Yan gravitational anomaly experienced by Weyl fermions on an emergent curved spacetime with torsion and curvature. The coefficient of this anomaly term is not universally quantized and seems to be determined by the underlying non-relativistic Fermi-liquid and Galilean symmetries.
The event will be hosted by Dr Jiannis K Pachos.
All are welcome to attend.