학술논문

Renormalization group in quantum critical theories with Harris-marginal disorder
Document Type
Working Paper
Source
Physical Review D105, 066016 (2022)
Subject
High Energy Physics - Theory
Condensed Matter - Statistical Mechanics
Condensed Matter - Strongly Correlated Electrons
Language
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.
Comment: 15 pages