RECORD
Dressing the Electron Star in a Holographic Superconductor
High Energy Physics - Theory · Submitted 17 Jul 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the new solutions are thermodynamically favoured in the region of parameter space where they exist.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We construct new asymptotically AdS_4 solutions dual to 2+1 CFTs at finite density and zero temperature by combining the ingredients of the electron star and the holographic superconductor. The solutions, which we call "compact electron stars", contain both a fermionic fluid and charged scalar hair in the bulk. We show that the new solutions are thermodynamically favoured in the region of parameter space where they exist. Along the boundary of this region, we find evidence for a continuous phase transition between the holographic superconductor and the compact star solution.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct new asymptotically AdS_4 solutions dual to 2+1 CFTs at finite density and zero temperature by combining the ingredients of the electron star and the holographic superconductor. | contribution 1.00 | 0.96 | 0.20 | asserted 1.00 |
| s1 | The solutions, which we call "compact electron stars", contain both a fermionic fluid and charged scalar hair in the bulk. | contribution 0.80 | 0.83 | 0.10 | asserted 1.00 |
| s2 | We show that the new solutions are thermodynamically favoured in the region of parameter space where they exist. | result 1.00 | 0.96 | 0.39 | asserted 1.00 |
| s3 | Along the boundary of this region, we find evidence for a continuous phase transition between the holographic superconductor and the compact star solution. | result 0.98 | 0.95 | 0.23 | asserted 0.65 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We construct new asymptotically AdS_4 solutions dual to 2+1 CFTs at finite density and zero temperature by combining the ingredients of the electron star and the holographic superconductor. The solutions, which we call "compact electron stars", contain both a fermionic fluid and charged scalar hair in the bulk. We show that the new solutions are thermodynamically favoured in the region of parameter space where they exist. Along the boundary of this region, we find evidence for a continuous phase transition between the holographic superconductor and the compact star solution.
Human review
References
How the literature uses it
12 arXiv papers cite this in 29 sentences
Papers citing it · 17 sentences without a confident label
Builds on it 1 paper
-
In the present paper, we continue the study of the system analyzed in [ref] , adding a new ingredient, namely a direct coupling between the scalar and the fermions.
Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems · Introduction · 1.00
Compares with it 2 papers
-
For $η̂≤0$, the behavior of $μ̂_l$ is similar to what happens in the compact star solutions of [ref] , where it is always positive and admits a maximum.
Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems · The electron-positron-scalar solution · 0.98
-
Vanel have obtained similar results [ref] .
Bose-Fermi competition in holographic metals · Introduction · 0.94
Cites it as background 7 papers
-
The situation where bosonic and fermionic components do not have a direct interaction was analyzed in [ref] .
Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems · Taxonomy of non-interacting solutions · 0.85
-
To describe them, holographic models with two or more fields corresponding to the order parameters were studied [ref] .
Phase Diagram of a Holographic Superconductor Model with s-wave and d-wave · Introduction · 0.81
-
Some previous studies already focused on this kind of holographic systems and produced many interesting results [ref] .
Split degenerate states and stable p+ip phases from holography · Introduction · 0.90
What it cites · 26 sentences without a confident label
Uses the method or tool of 2 papers
-
As in [ref] , we will work in the analog of the Thomas-Fermi approximation in which the fermions in the bulk can be described as a classical charged ideal fluid.
Electron stars for holographic metallic criticality · Introduction · 0.99
-
Regarding the solutions that we have found, we would like to be able to determine the order of the phase transition; perhaps this could be done analytically with arguments along the lines of those presented in [ref] .
Electron star birth: A continuous phase transition at nonzero density · Discussion · 0.80
Compares with 2 papers
-
Another related work [ref] considers also a competition between fractionalization and superconductivity, but with a bulk system consisting of a charged scalar and a neutral one (a dilaton).
Bosonic Fractionalisation Transitions · Introduction · 0.93
-
In the holographic approach, a closely related system to the one we study here was considered by [ref] , with the difference that they have a neutral scalar in the bulk, so the phase transition is not to a superconductor but to antiferromagnetic or nematic phases, or other transitions characterized by a neutral order parameter.
Neutral Order Parameters in Metallic Criticality in d=2+1 from a Hairy Electron Star · Introduction · 0.96
Cites as background 13 papers
-
The solutions of the Einstein-Maxwell system coupled to the fermion fluid, characterized by non-zero fluid densities, exist only for $0≤m_f < 1$, and are called Electron Stars [ref] ; they have two regions separated by the star boundary $r_s$, where $μ_l(r_s)= m_f$, and where the fluid density vanishes * Inner region (IR): The fluid density is non-zero only in the region $r>r_s$, in which $μ_l(r)> m_f$.
Electron stars for holographic metallic criticality · Electron Star · 0.98
-
The simplest model is the pure Einstein-Maxwell system, which admits charged extremal black holes; adding charged matter leads to the Electron Star [ref] (matter is a charged fermionic fluid) and the Holographic Superconductors [ref] (matter is a charged scalar field with $m_s^2 <0$).
Lectures on Holographic Superfluidity and Superconductivity · Review of the charged zero-temperature solutions · 0.98
-
The endpoint of the instability is the geometry found in [ref] that has been named “holographic superconductor".
Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space · Introduction · 0.91
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.