Magnetic field induced lattice ground states from holography

Johanna Erdmenger; Jonathan P. Shock; Migael Strydom; Yan-Yan Bu

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Magnetic field induced lattice ground states from holography

Yan-Yan Bu, Johanna Erdmenger, Jonathan P. Shock, Migael Strydom

High Energy Physics - Theory · Submitted 24 Oct 2012

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

The authors' main claim We find a new ground state when a magnetic component of the gauge field is larger than a critical value.

how it is stated · asserted 1.00 read the record →

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arXiv ID1210.6669 (version 2)

Pith ID6PZHOGXW, Pith's permanent record of this paper and its review

CitationJohanna Erdmenger, Jonathan P. Shock, Migael Strydom, Yan-Yan Bu. "Magnetic field induced lattice ground states from holography." arXiv:1210.6669 (2012). https://pith.science/paper/6PZHOGXW

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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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What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the holographic field theory dual of a probe SU(2) Yang-Mills field in a background $(4+1)$-dimensional asymptotically Anti-de Sitter space. We find a new ground state when a magnetic component of the gauge field is larger than a critical value. The ground state forms a triangular Abrikosov lattice in the spatial directions perpendicular to the magnetic field. The lattice is composed of superconducting vortices induced by the condensation of a charged vector operator. We perform this calculation both at finite temperature and at zero temperature with a hard wall cutoff dual to a confining gauge theory. The study of this state may be of relevance to both holographic condensed matter models as well as to heavy ion physics. The results shown here provide support for the proposal that such a ground state may be found in the QCD vacuum when a large magnetic field is present.

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 study the holographic field theory dual of a probe SU(2) Yang-Mills field in a background $(4+1)$-dimensional asymptotically Anti-de Sitter space.	contribution 0.66	0.65	0.03	asserted 0.88
s1	We find a new ground state when a magnetic component of the gauge field is larger than a critical value.	result 1.00	0.97	0.51	asserted 1.00
s2	The ground state forms a triangular Abrikosov lattice in the spatial directions perpendicular to the magnetic field.	result 1.00	0.91	0.35	asserted 1.00
s3	The lattice is composed of superconducting vortices induced by the condensation of a charged vector operator.	result 0.89	0.86	0.14	asserted 1.00
s4	We perform this calculation both at finite temperature and at zero temperature with a hard wall cutoff dual to a confining gauge theory.	method 0.96	0.95	0.03	asserted 1.00
s5	The study of this state may be of relevance to both holographic condensed matter models as well as to heavy ion physics.	interpretation 0.91	0.12	0.05	hedged possibility 1.00
s6	The results shown here provide support for the proposal that such a ground state may be found in the QCD vacuum when a large magnetic field is present.	interpretation 1.00	0.33	0.41	hedged possibility 0.98

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from simulation or computation 0.66.

What was examined, and what was not

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arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study the holographic field theory dual of a probe SU(2) Yang-Mills field in a background $(4+1)$-dimensional asymptotically Anti-de Sitter space. We find a new ground state when a magnetic component of the gauge field is larger than a critical value. The ground state forms a triangular Abrikosov lattice in the spatial directions perpendicular to the magnetic field. The lattice is composed of superconducting vortices induced by the condensation of a charged vector operator. We perform this calculation both at finite temperature and at zero temperature with a hard wall cutoff dual to a confining gauge theory. The study of this state may be of relevance to both holographic condensed matter models as well as to heavy ion physics. The results shown here provide support for the proposal that such a ground state may be found in the QCD vacuum when a large magnetic field is present.

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References

Forward citations

Cited by 6 Pith papers

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

Holographic Metals and Insulators with Helical Symmetry
hep-th 2014-06 conditional novelty 6.0 of 10

Helical Bianchi VII0 scaling solutions in Einstein-Maxwell-Dilaton theory yield an explicit catalog of holographic insulating and metallic phases whose conductivity exponents are fixed by the model parameters.
Metal-insulator Transition by Holographic Charge Density Waves
hep-th 2014-04 conditional novelty 6.0 of 10

A holographic charge-density-wave phase, built from a striped black hole, shows a pinned collective mode, a single-particle gap, and falling d.c. conductivity below Tc, which the authors interpret as a metal-insulator...
Striped phases from holography
hep-th 2013-03 conditional novelty 6.0 of 10

Backreacted striped black holes in D=4 AdS are constructed by solving the Einstein-Maxwell-pseudoscalar PDEs, and the striped phase is found to be thermodynamically preferred below Tc, in contrast to prior work on the...
A Holographic Study on Vector Condensate Induced by a Magnetic Field
hep-th 2013-09 conditional novelty 4.0 of 10

In a holographic model with a non-minimal magnetic-moment coupling, a background magnetic field induces vector condensation at zero chemical potential and raises the transition temperature at finite density, with the ...
Holographic quantum matter
hep-th 2016-12 accept novelty 3.0 of 10

A comprehensive review organizes how holographic gravity duals describe non-quasiparticle quantum matter and its transport, from zero-density criticality to compressible strange metals.

Show 1 more citing papers

Introduction to Holographic Superconductor Models
hep-th 2015-02 accept novelty 2.0 of 10

Bottom-up holographic models with scalar, vector, and tensor bulk fields reproduce s-wave, p-wave, and d-wave superconducting phenomenology, and these orders can compete and coexist in the dual field theory.

How the literature uses it

42 arXiv papers cite this in 65 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 · 37 sentences without a confident label

Builds on it 2 papers

This works builds on the recent results of [ref] , and the older studies in [ref] .

Crystalline Scaling Geometries from Vortex Lattices · Introduction · 0.97
Our work builds on the earlier papers [ref] , which found an elegant solution for a vortex lattice in the probe approximation, and [ref] , where the backreaction of such a lattice on bulk gauge fields was studied in a different setting.

Vortex Lattices and Crystalline Geometries · Introduction · 0.98

Uses its method or tool 1 paper

We make the following ansatz [equation] Here, alternating of the powers of the expansion in $δχ$ and $δΛ$ is motivated by [ref] and in turn by the original paper [ref] .

Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere · Investigating the gap · 0.80

Compares with it 2 papers

This distinguishes our situation from that considered in e.g. [ref] .

Vortex Lattices and Crystalline Geometries · The vortex lattice · 0.99
This distinguishes our situation from that considered in e.g. [ref] .

Crystalline Scaling Geometries from Vortex Lattices · Inclusion of “monopole" operator · 0.99

Cites it as background 21 papers

A lot of work has gone into the difficult problem of finding the inhomogeneous end states of such instabilities [ref] .

Gravity dual of spin and charge density waves · Introduction · 0.83
To date, the effect of rho meson condensation has been discussed in [ref] using phenomenological and lattice approaches, in our work [ref] using the Sakai-Sugimoto model, and in [ref] using a bottom-up holographic approach.

Background field and time dependence effects in holographic models · Rho meson condensation · 0.95
The AdS/CFT correspondence emerged as an appropriate playground for strongly coupled condensed matter systems [ref] starting with the holographic superconductors and superfluids [ref] , the Kondo model [ref] , topological fractional insulators [ref] , and external electromagnetic sources [ref] .

Non-equilibrium dynamics in Holography · Zusammenfassung · 0.91

What it cites · 31 sentences without a confident label

Compares with 4 papers

It is also the result found by Chernodub et al. in [ref] .

Electromagnetically superconducting phase of vacuum in strong magnetic field: structure of superconductor and superfluid vortex lattices in the ground state · Solving the equations to linear order · 0.95
Whereas in [ref] , a Meissner effect is shown to occur by which a magnetic field reduces the transition temperature, here it is again the magnetic field which induces condensation at zero density.

Superconductivity from gauge/gravity duality with flavor · Introduction · 1.00
Whereas in [ref] , a Meissner effect is shown to occur by which a magnetic field reduces the transition temperature, here it is again the magnetic field which induces condensation at zero density.

Flavor Superconductivity from Gauge/Gravity Duality · Introduction · 1.00

Cites as support 3 papers

In addition to being interesting in the broader context of holographic lattices, the model we discuss serves as supporting evidence for a phenomenon first described by Chernodub et al. in [ref] .

Superconductivity of QCD vacuum in strong magnetic field · Introduction · 1.00
In addition to being interesting in the broader context of holographic lattices, the model we discuss serves as supporting evidence for a phenomenon first described by Chernodub et al. in [ref] .

Electromagnetically superconducting phase of QCD vacuum induced by strong magnetic field · Introduction · 1.00
Moreover, our holographic model provides support for recent QCD studies of $ρ$ meson condensation from a strong magnetic field [ref] .

Electromagnetically superconducting phase of vacuum in strong magnetic field: structure of superconductor and superfluid vortex lattices in the ground state · Introduction · 0.99

Cites as background 7 papers

In [ref] a type II superconductor was modelled using a $(3+1)$-dimensional gravitational setup.

Vortex lattice for a holographic superconductor · Introduction · 0.95
In [ref] the holographic dual of a self-gravitating Julia-Zee Dyon was constructed, and it was shown to contain a vortex condensate.

On Holography of Julia-Zee Dyon · Introduction · 0.92
The former was first studied by Gauntlett et al. in [ref] and [ref] where the instability of the magnetically charged black hole in a top-down framework was studied in detail.

Holographic striped phases · Introduction · 0.87

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