On Holographic Entanglement Entropy of Charged Matter

Andrei Parnachev; Koenraad Schalm; Manuela Kulaxizi

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On Holographic Entanglement Entropy of Charged Matter

Manuela Kulaxizi, Andrei Parnachev, Koenraad Schalm

High Energy Physics - Theory · Submitted 14 Aug 2012

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

The authors' main claim The entanglement entropy for a slab experiences a second order phase transition as the thickness of the slab is varied, while the entanglement entropy for a sphere is a smooth function of the radius.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.41 · human participants 0.01 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.31 · mentions code or data availability 0.01.

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We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in that they have vanishing ground state entropy. The entanglement entropy for a slab experiences a second order phase transition as the thickness of the slab is varied, while the entanglement entropy for a sphere is a smooth function of the radius. This suggests that the second scale introduced by the anisotropy of the slab plays an important role in driving the phase transition. In both cases we do not observe any logarithmic violation of the area law indicative of hidden Fermi surfaces. We investigate how these results are affected by the inclusion of the Gauss-Bonnet term in the bulk gravitational action. We also observe that such addition to the bulk action does not change the logarithmic violation of the area law in the backgrounds with hyperscaling violation.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills.	contribution 0.96	0.81	0.06	asserted 0.72
s1	These charged black holes are distinguished in that they have vanishing ground state entropy.	background 0.81	0.24	0.05	asserted 1.00
s2	The entanglement entropy for a slab experiences a second order phase transition as the thickness of the slab is varied, while the entanglement entropy for a sphere is a smooth function of the radius.	result 1.00	0.91	0.41	asserted 1.00
s3	This suggests that the second scale introduced by the anisotropy of the slab plays an important role in driving the phase transition.	interpretation 1.00	0.75	0.18	hedged possibility 1.00
s4	In both cases we do not observe any logarithmic violation of the area law indicative of hidden Fermi surfaces.	result 0.99	0.94	0.16	asserted 1.00
s5	We investigate how these results are affected by the inclusion of the Gauss-Bonnet term in the bulk gravitational action.	contribution 0.91	0.82	0.04	unclear 0.53
s6	We also observe that such addition to the bulk action does not change the logarithmic violation of the area law in the backgrounds with hyperscaling violation.	result 1.00	0.87	0.11	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.73.

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The paper

Original abstract

We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in that they have vanishing ground state entropy. The entanglement entropy for a slab experiences a second order phase transition as the thickness of the slab is varied, while the entanglement entropy for a sphere is a smooth function of the radius. This suggests that the second scale introduced by the anisotropy of the slab plays an important role in driving the phase transition. In both cases we do not observe any logarithmic violation of the area law indicative of hidden Fermi surfaces. We investigate how these results are affected by the inclusion of the Gauss-Bonnet term in the bulk gravitational action. We also observe that such addition to the bulk action does not change the logarithmic violation of the area law in the backgrounds with hyperscaling violation.

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References

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Cited by 2 Pith papers

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

Holographic Models for Theories with Hyperscaling Violation
hep-th 2012-12 accept novelty 6.0 of 10

A dilaton plus massive-vector gravity model reproduces the full family of hyperscaling-violating Lifshitz geometries, including the theta=1, z=3/2 case, without instability in the radial sector.
On the IR completion of geometries with hyperscaling violation
hep-th 2012-08 conditional novelty 5.0 of 10

Adding polynomial corrections to the gauge kinetic function stabilizes the dilaton at the horizon, producing an AdS2 x R2 infrared fixed point and a numerical flow from AdS4 through a hyperscaling violating region dow...

How the literature uses it

16 arXiv papers cite this in 35 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 · 22 sentences without a confident label

Builds on it 1 paper

Finally as proposed in [ref] , we calculate the entanglement entropy for an annulus entanglement surface in order to interpolate between the sphere and the strip case.

Holographic entanglement entropy of semi-local quantum liquids · Introduction · 0.85

Compares with it 1 paper

We find that for a strip entangling region, the behavior of the entanglement entropy agrees with the picture proposed in [ref] , i.e. the boundary separation length $l$ is a smooth function of the turning point and it approaches $l_crit$ as $z_∗$ is large enough.

Holographic entanglement entropy of semi-local quantum liquids · HEE for the full solution · 0.91

Cites it as support 1 paper

Moreover, as claimed in [ref] , when $l$ is sufficiently large, the hypersurface should probe the IR geometry, which is just our background ([ref]).

Holographic entanglement entropy of semi-local quantum liquids · The strip · 0.97

Cites it as background 9 papers

The background studied in [ref] involves a two-charge dilatonic black hole, which is an exact solution of type IIB supergravity truncated on $S^5$ with only two of the three $U(1)$ charges being equal and nonzero.

Holographic entanglement entropy of semi-local quantum liquids · The AdS completion · 0.90
The HEE in similar backgrounds has been studied in [ref] , where [ref] and [ref] focused on the $w=1$ case while $w≥1$ and $w<1$ cases were extensively studied in [ref] .

On holographic entanglement entropy of non-local field theories · Volume-law behavior of the HEE · 0.95
Such hyperscaling violating QFTs play an extremely important role in the holographic understanding of certain condensed matter phenomena and beyond that, for example the holographic description of the so called Fermi surfaces [ref] - [ref] as well as the area law violation in the context of holographic entanglement entropy [ref] - [ref] .

Hydrodynamics from scalar black branes · Overview and Motivation · 0.82

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