Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
Abstract
We study the two-point function for fermionic operators in a class of strongly coupled systems using the gauge-gravity correspondence. The gravity description includes a gauge field and a dilaton which determines the gauge coupling and the potential energy. Extremal black brane solutions in this system typically have vanishing entropy. By analyzing a charged fermion in these extremal black brane backgrounds we calculate the two-point function of the corresponding boundary fermionic operator. We find that in some region of parameter space it is of Fermi liquid type. Outside this region no well-defined quasi-particles exist, with the excitations acquiring a non-vanishing width at zero frequency. At the transition, the two-point function can exhibit non-Fermi liquid behaviour.
Keywords
Cite
@article{arxiv.1105.1162,
title = {Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity},
author = {Norihiro Iizuka and Nilay Kundu and Prithvi Narayan and Sandip P. Trivedi},
journal= {arXiv preprint arXiv:1105.1162},
year = {2015}
}
Comments
52 pages, 6 figures. v3: Appendix F added showing numerical interpolation between the near-horizon region and AdS4. Additional minor comments also added