Renormalization group in quantum critical theories with Harris-marginal disorder
arXiv:2110.11978 · doi:10.1103/PhysRevD.105.066016
Abstract
We develop a renormalization group for weak Harris-marginal disorder in otherwise strongly interacting quantum critical theories, focusing on systems which have emergent conformal invariance. Using conformal perturbation theory, we argue that previously proposed random lines of fixed points with Lifshitz scaling in fact flow towards other universal fixed points, and this flow is captured by a "one-loop" analysis. Our approach appears best controlled in theories with only a few operators with low scaling dimension. In this regime, we compare our predictions for the flow of disorder to holographic models, and find complete agreement.
15 pages
References in corpus (7)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Localization of interacting fermions at high temperature
- The thermoelectric properties of inhomogeneous holographic lattices
- Scaling theory of the cuprate strange metals
- Conductivities for Hyperscaling Violating Geometries
- Hovering Black Holes from Charged Defects
- Cold planar horizons are floppy