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One-dimensional backreacting holographic p-wave superconductors
High Energy Physics - Theory · Submitted 18 Jan 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu.
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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.
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The abstract, sentence by sentence
We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential \mu for different values of mass m of charged spin-1 field and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent \beta is 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. | contribution 1.00 | 0.95 | 0.05 | asserted 0.94 |
| s1 | We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. | method 1.00 | 0.93 | 0.02 | asserted 0.99 |
| s2 | We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential \mu for different values of mass m of charged spin-1 field and backreacting parameters. | method 0.68 | 0.94 | 0.08 | asserted 1.00 |
| s3 | We observe that the data of both analytical and numerical studies are in good agreement. | result 0.98 | 0.94 | 0.07 | asserted 1.00 |
| s4 | We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu. | result 1.00 | 0.96 | 0.48 | asserted 1.00 |
| s5 | Therefore, it makes the condensation harder to form. | interpretation 1.00 | 0.77 | 0.20 | asserted 0.99 |
| s6 | In addition, the analytical and numerical approaches show that the value of the critical exponent \beta is 1/2 which is the same as in the mean field theory. | result 1.00 | 0.94 | 0.13 | asserted 1.00 |
| s7 | Moreover, both methods confirm the exhibition of a second order phase transition. | result 1.00 | 0.94 | 0.14 | asserted 1.00 |
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The paper
Original abstract
We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential \mu for different values of mass m of charged spin-1 field and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent \beta is 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.
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References
How the literature uses it
7 arXiv papers cite this in 9 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 6 papers
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While the $p$-wave and $d$-wave superconductors are known as strong coupling superconductors, the investigations on them based on the holographic setup attracts a lot of attentions during the past years (see e.g. [ref] ).
Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics · Introduction · 0.87
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In the past decade, several researches are done to investigate the properties of unconventional superconductors based on the holographic hypothesis (see e.g. [ref] ).
Conductivity of the holographic p-wave superconductors with higher order corrections · introduction · 0.81
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These include superconductors in different dimensions [ref] , as well as holographic superconductors in different backgrounds, e.g. in an external magnetic field [ref] , with Weyl corrections [ref] , in Horava-Lifshitz gravity [ref] , Gauss-Bonnet gravity [ref] , and $f(R)$ gravity [ref] .
Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity · Introduction · 0.98
What it cites · 4 sentences without a confident label
Uses the method or tool of 2 papers
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By minimizing the following expression with respect to $α$, equation ([ref]) will be solved: [equation] With the help of iteration method, definition of backreacting parameter is [ref] [equation] Here, $Δκ=0.05$.
On analytical study of holographic superconductors with Born-Infeld electrodynamics · Analytical approach · 0.98
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We employ the shooting method [ref] to numerically investigate the properties of ($1+1$)-dimensional holographic $p$-wave superconductor developed in BTZ black hole background, when the gauge and vector fields backreact on the background geometry.
Lectures on holographic methods for condensed matter physics · Numerical Method · 1.00
Compares with 1 paper
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Note that in ([ref]), the value of $χ$ has been set to zero by virtue of symmetry, [equation] The asymptotic behavior of the vector field $ρ_x(r)$ is in agreement with the result of [ref] .
A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric · Basic Field Equations and boundary conditions · 0.90
Cites as background 45 papers
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In $2008$, Hartnoll et al. proposed a holographic $s$-wave superconductor model based on the gauge/gravity duality [ref] .
Building an AdS/CFT superconductor · Introduction · 0.88
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One dimensional holographic $p$-wave superconductors coupled to a massive complex vector field and in the probe limit were explored in [ref] .
Holographic P-wave Superconductors in 1+1 Dimensions · Introduction · 0.89
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One-dimensional holographic $s$-wave and $p$-wave superconductors were investigated analytically as well as numerically from different point of view (see e.g. [ref] ).
1+1-dimensional p-wave superconductors from intersecting D-branes · Introduction · 0.98
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