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Bose-Fermi competition in holographic metals
High Energy Physics - Theory · Submitted 17 Jul 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star.
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The abstract, sentence by sentence
We study the holographic dual of a finite density system with both bosonic and fermionic degrees of freedom. There is no evidence for a universal bose-dominated ground state. Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the holographic dual of a finite density system with both bosonic and fermionic degrees of freedom. | contribution 0.97 | 0.86 | 0.03 | asserted 0.95 |
| s1 | There is no evidence for a universal bose-dominated ground state. | result 0.98 | 0.76 | 0.34 | asserted 0.99 |
| s2 | Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star. | result 0.99 | 0.86 | 0.82 | asserted 0.96 |
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The paper
Original abstract
We study the holographic dual of a finite density system with both bosonic and fermionic degrees of freedom. There is no evidence for a universal bose-dominated ground state. Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star.
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References
How the literature uses it
16 arXiv papers cite this in 23 sentences
Papers citing it · 14 sentences without a confident label
Uses its method or tool 1 paper
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As in [ref] , we rescale $q A_μ →A_μ$ to fix $q=1.$
BCS instabilities of electron stars to holographic superconductors · A BCS star · 0.84
Compares with it 1 paper
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A similar system was studied in [ref] , but with a different potential that also allows for an unbounded fluid with Lifshitz asymptotics in the IR.
Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems · Introduction · 0.98
Cites it as background 7 papers
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For more details on the physics of holographic electron stars and electron clouds see [ref] .
Diving inside holographic metals · Introduction · 0.95
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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
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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 · 30 sentences without a confident label
Builds on 1 paper
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In our case, the IR critical scale [ref] is Λ_IR∼μexp(-π/√(g_0(m_c^2-m̂_b^2))),where $m_c^2=q̂_b^2h_0^2-(z+2)^2/4g_0$ is the mass square of the BF bound ([ref]).
Quantum phase transitions in holographic models of magnetism and superconductors · Quantum phase transition boundaries · 0.89
Compares with 1 paper
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Vanel have obtained similar results [ref] .
Dressing the Electron Star in a Holographic Superconductor · Introduction · 0.94
Cites as background 5 papers
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* The electron star (ES) solution [ref] is the solution when only fermions are excited, approximated by a fermion-fluid description.
Electron stars for holographic metallic criticality · Zero temperature solutions · 0.88
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* The holographic superconductor (HS) solution [ref] is the solution to this system where only normalizable bosons are excited.
Ground states of holographic superconductors · Zero temperature solutions · 0.80
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Further details are in [ref] .
Spectral probes of the holographic Fermi groundstate: dialing between the electron star and AdS Dirac hair · Fermions in the fluid approximation · 0.87
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