Bosonic Fractionalisation Transitions

Alexander Adam; Benedict Crampton; Benjamin Withers; Julian Sonner

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Bosonic Fractionalisation Transitions

Alexander Adam, Benedict Crampton, Julian Sonner, Benjamin Withers

High Energy Physics - Theory · Submitted 15 Aug 2012

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

The authors' main claim Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.11 · mentions code or data availability 0.02.

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

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and leaving it unbroken in the latter. Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory. We also embed solutions and transitions of this type in M-theory, where, holding the theory at constant chemical potential, the cohesive phase is connected to a neutral phase of Schr\"odinger type via a z=2 QCP.

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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	At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons.	background 1.00	0.05	0.03	asserted 0.84
s1	In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and leaving it unbroken in the latter.	result 0.85	0.96	0.31	asserted 1.00
s2	Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory.	contribution 0.50	0.96	0.31	asserted 1.00
s3	We also embed solutions and transitions of this type in M-theory, where, holding the theory at constant chemical potential, the cohesive phase is connected to a neutral phase of Schr\"odinger type via a z=2 QCP.	result 0.77	0.90	0.23	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.84.

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arXiv listing abstract v2

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references and citing sentences
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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

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and leaving it unbroken in the latter. Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory. We also embed solutions and transitions of this type in M-theory, where, holding the theory at constant chemical potential, the cohesive phase is connected to a neutral phase of Schr\"odinger type via a z=2 QCP.

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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

Quantum critical lines in holographic phases with (un)broken symmetry
hep-th 2012-12 accept novelty 6.0 of 10

Every scaling infrared asymptotic of a homogeneous holographic model with a massive gauge field is characterized by three exponents, and the generic infrared picture is a line of critical states rather than an isolated point.
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.

How the literature uses it

7 arXiv papers cite this in 16 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 · 9 sentences without a confident label

Builds on it 1 paper

In Appendix [ref], we extend this analysis to include groundstates which feature hyperscaling violation [ref] as well as cases with novel superfluid actions.[An analytic top-down solution featuring hyperscaling violation in the normal state can be found in [ref] .] $$

Non-vanishing normal density in cold holographic superfluids · Introduction and results · 0.94

Compares with it 1 paper

Another related work [ref] considers also a competition between fractionalization and superconductivity, but with a bulk system consisting of a charged scalar and a neutral one (a dilaton).

Dressing the Electron Star in a Holographic Superconductor · Introduction · 0.93

Cites it as background 4 papers

The phase transition corresponding to the onset of fractionalization was studied in [ref] .

Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems · Introduction · 0.85
We refer the reader to e.g. [ref] for various properties of these geometries, and attempts to classify the corresponding phases.

Spatially Modulated Instabilities of Geometries with Hyperscaling Violation · Introduction · 1.00
Our results shed new light on the relation between charge densities in the boundary theory and in the bulk, various aspects of which have been explored in previous literature [ref] .

Non-vanishing normal density in cold holographic superfluids · Introduction and results · 1.00

What it cites · 51 sentences without a confident label

Builds on 1 paper

In this work we explore bosonic analogues of the fractionalisation transition of [ref] , corresponding to transitions from phases with broken U(1) symmetry to phases with intact U(1) symmetry and all charge associated with a horizon.

Fractionalization of holographic Fermi surfaces · Introduction · 0.98

Uses the method or tool of 2 papers

Using techniques of [ref] one can show that this is the negative of the pressure ω(μ,T)=-P .

A gravity derivation of the Tisza-Landau Model in AdS/CFT · Thermodynamic Relations · 0.99
Using techniques of [ref] one can show that this is the negative of the pressure ω(μ,T)=-P .

A theory of first order dissipative superfluid dynamics · Thermodynamic Relations · 0.99

Compares with 2 papers

Both these results can be compared to the case of fermionic fractionalisation transitions [ref] , where the roles are reversed.

Fractionalization of holographic Fermi surfaces · The Fractionalisation Transition · 1.00
A similar structure was seen in the zero-temperature superconducting solutions of [ref] .

Zero Temperature Limit of Holographic Superconductors · Cohesive IR Solution · 1.00

Cites as support 1 paper

This point of view has recently been bolstered by the identification of the corresponding $2k_F$ singularities associated with the `hidden' fermionic degrees of freedom by Faulkner and Iqbal [ref] .

Friedel oscillations and horizon charge in 1D holographic liquids · Introduction · 0.98

Cites as background 21 papers

Lately such questions have attracted a great deal of interest leading to general statements along the lines of a holographic Luttinger relation and its bosonic analogue [ref] .

Fermi surfaces and gauge-gravity duality · Introduction · 0.96
Lately such questions have attracted a great deal of interest leading to general statements along the lines of a holographic Luttinger relation and its bosonic analogue [ref] .

Fractionalization of holographic Fermi surfaces · Introduction · 0.96
Lately such questions have attracted a great deal of interest leading to general statements along the lines of a holographic Luttinger relation and its bosonic analogue [ref] .

Luttinger's theorem, superfluid vortices, and holography · Introduction · 0.96

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