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The local thermodynamic instability from negative susceptibility in a holographic superfluid with nonlinear terms
High Energy Physics - Theory · Submitted 22 Sep 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We further reveal that in the canonical ensemble, the superfluid phase transition is still second order, and the difference indicates a section with negative susceptibility which means local thermodynamic instability beyond this superfluid velocity.
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The abstract, sentence by sentence
The local thermodynamic stability from the charge susceptibility of a holographic superfluid model at finite superfluid velocity is studied in the probe limit. Previous studies show that beyond a finite value of the superfluid velocity, the superfluid phase transition in the grand canonical ensemble becomes first order. We further reveal that in the canonical ensemble, the superfluid phase transition is still second order, and the difference indicates a section with negative susceptibility which means local thermodynamic instability beyond this superfluid velocity. However, we also meet the ``cave of wind'' behavior at larger superfluid velocity which complicate the phase diagram. We further study the influence of the two nonlinear terms $\lambda|\psi|^4$ and $\tau|\psi|^6$ with parameters $\lambda$ and $\tau$ on the condensate curves, and set appropriate values of $\lambda$ and $\tau$ to remove the "cave of wind" region in the canonical ensemble to get a more elegant phase diagram and better represent the region with such instability, which is possible to be used to realize spontaneous formation of vortexes and quantum turbulence.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The local thermodynamic stability from the charge susceptibility of a holographic superfluid model at finite superfluid velocity is studied in the probe limit. | contribution 0.93 | 0.84 | 0.06 | asserted 0.90 |
| s1 | Previous studies show that beyond a finite value of the superfluid velocity, the superfluid phase transition in the grand canonical ensemble becomes first order. | background 1.00 | 0.03 | 0.05 | asserted 1.00 |
| s2 | We further reveal that in the canonical ensemble, the superfluid phase transition is still second order, and the difference indicates a section with negative susceptibility which means local thermodynamic instability beyond this superfluid velocity. | result 0.89 | 0.93 | 0.75 | asserted 0.94 |
| s3 | However, we also meet the ``cave of wind'' behavior at larger superfluid velocity which complicate the phase diagram. | result 0.90 | 0.84 | 0.06 | asserted 1.00 |
| s4 | We further study the influence of the two nonlinear terms $\lambda|\psi|^4$ and $\tau|\psi|^6$ with parameters $\lambda$ and $\tau$ on the condensate curves, and set appropriate values of $\lambda$ and $\tau$ to remove the "cave of wind" region in the canonical ensemble to get a more elegant phase diagram and better represent the region with such instability, which is possible to be used to realize spontaneous formation of vortexes and quantum turbulence. | contribution 0.79 | 0.94 | 0.27 | hedged possibility 0.52 |
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The paper
Original abstract
The local thermodynamic stability from the charge susceptibility of a holographic superfluid model at finite superfluid velocity is studied in the probe limit. Previous studies show that beyond a finite value of the superfluid velocity, the superfluid phase transition in the grand canonical ensemble becomes first order. We further reveal that in the canonical ensemble, the superfluid phase transition is still second order, and the difference indicates a section with negative susceptibility which means local thermodynamic instability beyond this superfluid velocity. However, we also meet the ``cave of wind'' behavior at larger superfluid velocity which complicate the phase diagram. We further study the influence of the two nonlinear terms $\lambda|\psi|^4$ and $\tau|\psi|^6$ with parameters $\lambda$ and $\tau$ on the condensate curves, and set appropriate values of $\lambda$ and $\tau$ to remove the "cave of wind" region in the canonical ensemble to get a more elegant phase diagram and better represent the region with such instability, which is possible to be used to realize spontaneous formation of vortexes and quantum turbulence.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
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In the recent studies on holographic superconductor models, nonlinear potential terms of the scalar and vector fields are applied to realize more accurate control on the phase transitions [ref] .
Holographic s+p superconductors with nonlinear electrodynamics · Introduction · 0.86
What it cites · 44 sentences without a confident label
Compares with 3 papers
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Our study shows that these two terms have qualitatively the same effect on the condensate curves as in the case with zero value of superfluid velocity $S_x=0$ studied in Refs. [ref] .
Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions · Conclusion and outlooks · 0.85
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Our study shows that these two terms have qualitatively the same effect on the condensate curves as in the case with zero value of superfluid velocity $S_x=0$ studied in Refs. [ref] .
Dynamical and thermodynamic crossovers in the supercritical region of a holographic superfluid model · Conclusion and outlooks · 0.85
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We also represent the $(μ_L, S_x/μ)$ phase diagram [ref] in the left panel of Figure [ref] as a comparison.
Holographic model of superfluidity · The condensate curves and the phase diagram without nonlinear self-interaction terms · 0.93
Cites as background 22 papers
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Considering the (3 + 1)-dimensional Schwarzschild anti-de Sitter (AdS) black hole coupled with a Maxwell-complex scalar field, the holographic s-wave superconductor model was first built by Hartnoll, Herzog and Horowitz to reproduce properties of a (2 + 1)-dimensional superconductor [ref] .
Building an AdS/CFT superconductor · Introduction · 0.98
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With more general charged fields in the bulk, the p-wave and d-wave superconductors as well as competition and coexistence between the various orders are also realized in holography [ref] .
The gravity dual of a p-wave superconductor · Introduction · 0.83
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With more general charged fields in the bulk, the p-wave and d-wave superconductors as well as competition and coexistence between the various orders are also realized in holography [ref] .
Towards A Holographic Model of D-Wave Superconductors · Introduction · 0.83
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