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Institute for Condensed Matter Theory Seminar: "Torsion and geometric anomalies in non-relativistic topological matter"

Event Type
Seminar/Symposium
Sponsor
The Institute for Condensed Matter Theory
Virtual
wifi event
Date
Nov 29, 2021   12:00 pm  
Speaker
Jaakko Nissinen, Aalto University
Contact
Janice Benner
E-Mail
jbenner@illinois.edu
Views
35

I discuss geometric anomalies in topological matter that extend the definition of topological (and geometric) phases in terms of field theoretic anomalies and bulk-boundary correspondences to situations where non-relativistic geometry and symmetries, in addition to topology, play a key role. Such anomalies can be understood based on chiral gravitational anomalies with torsion, controversial in relativistic field theory, and their suitable generalizations to non-relativistic systems. 

As examples I discuss anomalous chiral hydrodynamics and torsional anomalies in chiral Weyl superfluids, superconductors and semimetals, as well as topological ``translational" responses in gapped crystalline insulators, including subsystem and higher-order multipole insulators.

In contrast to usual relativistic anomalies, the discussed geometric anomalies are "unquantized" and feature properties of the momentum space geometry in terms of UV-IR dependencies.

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