Dynamical response near quantum critical points
Abstract
We study high frequency response functions, notably the optical conductivity, in the vicinity of quantum critical points (QCPs) by allowing for both detuning from the critical coupling and finite temperature. We consider general dimensions and dynamical exponents. This leads to a unified understanding of sum rules. In systems with emergent Lorentz invariance, powerful methods from conformal field theory allow us to fix the high frequency response in terms of universal coefficients. We test our predictions analytically in the large-N O(N) model and using the gauge-gravity duality, and numerically via Quantum Monte Carlo simulations on a lattice model hosting the interacting superfluid-insulator QCP. In superfluid phases, interacting Goldstone bosons qualitatively change the high frequency optical conductivity, and the corresponding sum rule.
Cite
@article{arxiv.1608.02586,
title = {Dynamical response near quantum critical points},
author = {Andrew Lucas and Snir Gazit and Daniel Podolsky and William Witczak-Krempa},
journal= {arXiv preprint arXiv:1608.02586},
year = {2017}
}
Comments
4+12 pages. 2+2 figures. v2: Added explanations throughout, and new results in Appendix C for the ordered phase. Published version