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arXiv · 2204.10092

Emerging Fermi liquids from regulated Quantum Electron Stars

Nicolas Chagnet·Vladan Djukić·Mihailo Čubrović·Koenraad Schalm
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Abstract

We construct a fully quantum zero-temperature electron star in a soft-wall regulated anti-de-Sitter Einstein-Maxwell-Dirac theory that is thermodynamically stable compared to the Reissner-Nordstr\"{o}m black hole. The soft wall only acts on the effective mass of the fermionic degrees of freedom, and allows for a controlled fully backreacted solution. The star is holographically dual to an RG flow where a gapped Fermi liquid starts to emerge from a UV CFT, but decouples again once the effective energy scale becomes lower than the the gap of the fermionic degrees of freedom. The RG flow then returns to a non-trivial strongly coupled relativistic fixed point with a holographic dual. Our regulated quantum electron star is thus the fermionic analogue of the Horowitz-Roberts-Gubser-Rocha AdS-to-AdS domain wall solution for the holographic superconductor.

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Nicolas Chagnet, Vladan Djukić, Mihailo Čubrović, Koenraad Schalm. 2022-04-21. Emerging Fermi liquids from regulated Quantum Electron Stars. https://doi.org/10.1007/jhep08(2022)222

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