Holographic Fermi Surfaces and Entanglement Entropy
High Energy Physics - Theory
2015-06-03 v4 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Abstract
We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.
Keywords
Cite
@article{arxiv.1111.1023,
title = {Holographic Fermi Surfaces and Entanglement Entropy},
author = {Noriaki Ogawa and Tadashi Takayanagi and Tomonori Ugajin},
journal= {arXiv preprint arXiv:1111.1023},
year = {2015}
}
Comments
23 pages, 4 figures, latex, references added, minor corrections (v2,3), figures improved and typos corrected (v4)