Thermal transport, geometry, and anomalies

The relation between thermal transport and gravity was highlighted in the seminal work by Luttinger in 1964, and has been extensively developed to understand thermal transport. Here we review the novel concepts that relate thermal transport, the geometry of space-time and quantum field theory anomalies. We give emphasis to the crosspollination between emergent ideas in condensed matter, notably Weyl and Dirac semimetals, and the understanding of gravitational and scale anomalies stemming from high-energy physics. We finish by relating to recent experimental advances and presenting a perspective of several open problems.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper reviews the relationship between thermal transport and gravity, and introduces novel concepts related to thermal transport, spacetime geometry, and quantum field theory anomalies. It emphasizes the crosspollination between emerging ideas in condensed matter and the understanding of gravitational and scale anomalies in high-energy physics.