Thermal transport, geometry, and anomalies
Copyright policy )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, most notably the thermal Hall effect. 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 cross-pollination 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.
68 pages, 13 figures; comments welcome!
- Grenoble Alpes University France
- UNIVERSITE DE TOURS France
- UMR 7013 Institut Denis Poisson France
- Institut de Physique France
- CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS France
Dirac matter, High Energy Physics - Theory, Condensed Matter - Materials Science, Local differential geometry of Lorentz metrics, indefinite metrics, Condensed Matter - Mesoscale and Nanoscale Physics, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Statistical mechanics of solids, Classical and relativistic thermodynamics, 500, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, geometric anomalies, 530, Anomalies in quantum field theory, High Energy Physics - Theory (hep-th), Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat], gravity vs thermal transport, [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat], Spinor and twistor methods applied to problems in quantum theory
Dirac matter, High Energy Physics - Theory, Condensed Matter - Materials Science, Local differential geometry of Lorentz metrics, indefinite metrics, Condensed Matter - Mesoscale and Nanoscale Physics, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Statistical mechanics of solids, Classical and relativistic thermodynamics, 500, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, geometric anomalies, 530, Anomalies in quantum field theory, High Energy Physics - Theory (hep-th), Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat], gravity vs thermal transport, [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat], Spinor and twistor methods applied to problems in quantum theory
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