The renormalization group in quantum quenched disorder
Strongly Correlated Electrons
2018-08-22 v2 Disordered Systems and Neural Networks
Statistical Mechanics
High Energy Physics - Theory
Abstract
We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local operators. This leads to a new crossover exponent related to the disorder (as in classical disorder). We show that the time coordinate is rescaled at each RG step, leading to Lifshitz scaling at critical points. We write a universal formula for the dynamical scaling exponent z for weak disorder.
Cite
@article{arxiv.1803.08529,
title = {The renormalization group in quantum quenched disorder},
author = {Vladimir Narovlansky and Ofer Aharony},
journal= {arXiv preprint arXiv:1803.08529},
year = {2018}
}
Comments
5 pages, 1 figure. A more detailed discussion of the results, together with a discussion of quenched classical disorder, appears in the companion paper arXiv:1803.08534. v2: updated a reference