Holographic Multi-Band Superconductor

Ching-Yu Huang; Debaprasad Maity; Feng-Li Lin

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Holographic Multi-Band Superconductor

Ching-Yu Huang, Feng-Li Lin, Debaprasad Maity

High Energy Physics - Theory · Submitted 4 Feb 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$.

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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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,239 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.82 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We propose a gravity dual for the holographic superconductor with multi-band carriers. Moreover, the currents of these carriers are unified under a global flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry. We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$. We also identify the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be invariant under the global flavored SO(3) rotation. We then evaluate the corresponding holographic conductivity and find the expected mean field like behaviors.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose a gravity dual for the holographic superconductor with multi-band carriers.	contribution 0.99	0.89	0.19	asserted 0.75
s1	Moreover, the currents of these carriers are unified under a global flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry.	contribution 0.70	0.55	0.11	asserted 1.00
s2	We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$.	result 0.98	0.96	0.30	asserted 0.97
s3	We also identify the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be invariant under the global flavored SO(3) rotation.	contribution 0.70	0.87	0.07	asserted 0.71
s4	We then evaluate the corresponding holographic conductivity and find the expected mean field like behaviors.	result 1.00	0.96	0.24	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from simulation or computation 0.54.

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The paper

Original abstract

We propose a gravity dual for the holographic superconductor with multi-band carriers. Moreover, the currents of these carriers are unified under a global flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry. We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$. We also identify the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be invariant under the global flavored SO(3) rotation. We then evaluate the corresponding holographic conductivity and find the expected mean field like behaviors.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Competition and coexistence of baryonic condensates in AdS hardwall model
hep-th 2026-10 conditional novelty 6.0 of 10

In a hardwall AdS/QCD model with two charged scalars, diquark and dibaryon condensates coexist only within narrow windows of operator dimension, widening with charge and closing when the operators coincide.
Holographic s+p superconductors with nonlinear electrodynamics
hep-th 2026-06 unverdicted novelty 5.0 of 10

Numerical holographic study finds nonlinear electrodynamics suppresses s and p condensates differently, induces spontaneous charge accumulation outside the horizon, and modifies optical conductivity with a minimum in ...

How the literature uses it

17 arXiv papers cite this in 19 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Uses its method or tool 1 paper

In our present study we will also use the approach similar to [ref] where the multiband superconductor was considered, although our construction is different from that used in [ref] providing us with the possibility to treat the phases of condensates and electric current straightforwardly.

Holographic model of the S^{+/-} multiband superconductor · Introduction · 0.80

Cites it as background 11 papers

[ref] studied a multi-band superconductor model, while regarding two bulk scalar fields as the fundamental representation of U(2) group, the authors of ref.

Competition and Coexistence of Order Parameters in Holographic Multi-Band Superconductors · Introduction · 0.92
The application of AdS/CFT techniques to strongly correlated systems in condensed matter situations is a very promising development [ref] .

Strong Coupling BCS Superconductivity and Holography · Introduction · 0.97
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

What it cites · 4 sentences without a confident label

Uses the method or tool of 3 papers

Then from the asymptotic behavior of all the fields at the asymptotic boundary we found a_j(r,k⃗,ω)=a_j^(0)(k⃗,ω)+a_j^(1)r (k⃗,ω)+⋯, It then seems that one can evaluate the holographic conductivity by the standard holographic prescription for the Ohmic law [ref] .

Ohm's Law at strong coupling: S duality and the cyclotron resonance · Holographic Conductivity · 0.98
Then from the asymptotic behavior of all the fields at the asymptotic boundary we found a_j(r,k⃗,ω)=a_j^(0)(k⃗,ω)+a_j^(1)r (k⃗,ω)+⋯, It then seems that one can evaluate the holographic conductivity by the standard holographic prescription for the Ohmic law [ref] .

Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm · Holographic Conductivity · 0.98
Then from the asymptotic behavior of all the fields at the asymptotic boundary we found a_j(r,k⃗,ω)=a_j^(0)(k⃗,ω)+a_j^(1)r (k⃗,ω)+⋯, It then seems that one can evaluate the holographic conductivity by the standard holographic prescription for the Ohmic law [ref] .

Real-time response in AdS/CFT with application to spinors · Holographic Conductivity · 0.98

Compares with 2 papers

The numerical fitting gives $C∼14$, $D≃24$ and $γ≃0.97$ for the 3-band case, this is the typical mean-field like behavior as for the holographic s-wave superconductor [ref] .

Building an AdS/CFT superconductor · Holographic Conductivity · 0.91
At this point we would like to remind the readers that our model is different from holographic p-wave superconductors considered in [ref] , where only the non-Abelian gauge fields are introduced, not the fundamental scalars.

The gravity dual of a p-wave superconductor · Introduction · 0.97

Cites as background 3 papers

Similarly, in the recent proposal of holographic superconductor [ref] , the global U(1) symmetry for the charge conservation is again dual to a U(1) gauge symmetry in the bulk gravity.

Building an AdS/CFT superconductor · Introduction · 0.81
Similarly, in the recent proposal of holographic superconductor [ref] , the global U(1) symmetry for the charge conservation is again dual to a U(1) gauge symmetry in the bulk gravity.

Holographic Superconductors · Introduction · 0.81
For example, in the study of meson dynamics of the holographic QCD, the flavor symmetry of QCD is dual to the gauge symmetry on the probe mesonic branes [ref] .

Low energy hadron physics in holographic QCD · Introduction · 0.87

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