Quantum corrected phase diagram of holographic fermions
arXiv:1302.5149 · doi:10.1007/JHEP12(2013)025
Abstract
We study the phases of strongly correlated electron systems in two spatial dimensions in the framework of AdS/CFT correspondence. The AdS (gravity) model consists of a Dirac fermion coupled to electromagnetic field and gravity. To classify the ground states of strongly correlated electrons on the CFT side and to construct the full phase diagram of the system, we construct a quantum many-body model of bulk fermion dynamics, based on the WKB approximation to the Dirac equation. At low temperatures, we find a quantum corrected approximation to the electron star where the edge is resolved in terms of wavefunctions extended fully through AdS. At high temperatures, the system exhibits a {\em first} order thermal phase transition to a charged AdS-RN black hole in the bulk and the emergence of local quantum criticality on the CFT side. This change from the third order transition experienced by the semi-classical electron star restores the intuition that the transition between the critical AdS-RN liquid and the finite density Fermi system is of van der Waals liquid-gas type.
28 pages, 6 figures. Version 2: more detailed discussion of the equation of state, corrected typos
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- Diving inside holographic metals
- Entanglement String and Spin Liquid with Holographic Duality
- Holographic Abelian Higgs model and the Linear confinement
- Emerging Fermi liquids from regulated Quantum Electron Stars
- Holographic geometries for condensed matter applications
- Diffusion and instabilities in large-N holographic Fermi liquids: the vector fluctuations of the electron star