Holographic Quantum Critical Transport without Self-Duality
Abstract
We describe general features of frequency-dependent charge transport near strongly interacting quantum critical points in 2+1 dimensions. The simplest description using the AdS/CFT correspondence leads to a self-dual Einstein-Maxwell theory on AdS_4, which fixes the conductivity at a frequency-independent self-dual value. We describe the general structure of higher-derivative corrections to the Einstein-Maxwell theory, and compute their implications for the frequency dependence of the quantum-critical conductivity. We show that physical consistency conditions on the higher-derivative terms allow only a limited frequency dependence in the conductivity. The frequency dependence is amenable to a physical interpretation using transport of either particle-like or vortex-like excitations.
Cite
@article{arxiv.1010.0443,
title = {Holographic Quantum Critical Transport without Self-Duality},
author = {Robert C. Myers and Subir Sachdev and Ajay Singh},
journal= {arXiv preprint arXiv:1010.0443},
year = {2015}
}
Comments
42 pages, 7 figures. A new figure showing the frequency dependence of EM dual conductivity and few references added. Abstract, introduction, section 5 and discussion extended. To appear in Phys.Rev.D