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Gauss-Bonnet Black Holes and Heavy Fermion Metals
High Energy Physics - Theory · Submitted 2 May 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that this class of models can reproduce the anomalous specific heat of condensed matter systems exhibiting non-Fermi-liquid behaviour at low temperatures.
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The abstract, sentence by sentence
We consider charged black holes in Einstein-Gauss-Bonnet Gravity with Lifshitz boundary conditions. We find that this class of models can reproduce the anomalous specific heat of condensed matter systems exhibiting non-Fermi-liquid behaviour at low temperatures. We find that the temperature dependence of the Sommerfeld ratio is sensitive to the choice of Gauss-Bonnet coupling parameter for a given value of the Lifshitz scaling parameter. We propose that this class of models is dual to a class of models of non-Fermi-liquid systems proposed by Castro-Neto et.al.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider charged black holes in Einstein-Gauss-Bonnet Gravity with Lifshitz boundary conditions. | contribution 0.70 | 0.50 | 0.03 | asserted 0.74 |
| s1 | We find that this class of models can reproduce the anomalous specific heat of condensed matter systems exhibiting non-Fermi-liquid behaviour at low temperatures. | result 1.00 | 0.93 | 0.57 | asserted 0.95 |
| s2 | We find that the temperature dependence of the Sommerfeld ratio is sensitive to the choice of Gauss-Bonnet coupling parameter for a given value of the Lifshitz scaling parameter. | result 1.00 | 0.93 | 0.14 | asserted 1.00 |
| s3 | We propose that this class of models is dual to a class of models of non-Fermi-liquid systems proposed by Castro-Neto et.al. | interpretation 0.96 | 0.34 | 0.31 | speculative 0.66 |
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The paper
Original abstract
We consider charged black holes in Einstein-Gauss-Bonnet Gravity with Lifshitz boundary conditions. We find that this class of models can reproduce the anomalous specific heat of condensed matter systems exhibiting non-Fermi-liquid behaviour at low temperatures. We find that the temperature dependence of the Sommerfeld ratio is sensitive to the choice of Gauss-Bonnet coupling parameter for a given value of the Lifshitz scaling parameter. We propose that this class of models is dual to a class of models of non-Fermi-liquid systems proposed by Castro-Neto et.al.
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How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 4 papers
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The behavior of holographic superconductors in the presence of an external magnetic field has been widely studied in the probe limit [ref] .
Analytical calculation on critical magnetic field in holographic superconductors with backreaction · Introduction · 0.98
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Some efforts have been done to disclose the properties of the holographic superconductors in the presence of an external magnetic field using both numerical approaches as well as analytical analysis [ref] .
Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field · Introduction · 0.90
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A concrete example in this vein was first provided by the so-called Lifshitz spacetimes in Ref. [ref] (see also [ref] ), and thereafter a wide class of asymptotically Lifshitz solutions have been found, either analytic [ref] or numerical [ref] .
Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum · Introduction · 0.82
What it cites · 15 sentences without a confident label
Builds on 1 paper
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Since we wish to understand the effects of the Gauss-Bonnet term on the previously considered [ref] ($n+1$)-dimensional charged Einstein solutions with arbitrary $z$, we begin by linearizing the system in ($n+1$)-dimensions.
Charged Lifshitz Black Holes · Solutions at large $r$ · 0.98
Cites as background 2 papers
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The AdS/CFT correspondence conjecture [ref] has motivated the development of dual gravity models to describe strongly correlated systems in condensed matter physics (CMT) [ref] .
Lectures on holographic methods for condensed matter physics · Introduction · 0.98
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Neutral black hole solutions with $α=0$ have been obtained both analytically and numerically [ref] .
Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent · Introduction · 0.80
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