Interacting Anomaly: Anomalous Massive Propagation and Thermal Transport

The remarkable quantum breaking of the classical chiral symmetry, first discovered in the context of particle physics, has now found new life in condensed matter physics, connecting topological quantum matter and band theory with effective field theoretic models.

In a previous discussion we investigated how interactions can affect the chiral anomaly and its condensed matter consequences leading to renormalization of excitations and their transport properties in one dimensional systems, and modification of the anomalous response of the system, namely the chiral magnetic and quantum hall effects in three dimensions.

Here we further investigate these properties. First we identify a type of anomalous massive propagation which exists within interacting Weyl semimetals. These massive modes are nonperturbative in nature and are a direct consequence of the chiral anomaly. Then, as a separate phenomena, we investigate the effects of interactions on a type of thermal transport associated with mixed anomalies.