Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit

Abstract

We study the holographic s-wave superfluid model with 4th and 6th power self-interaction terms $\lambda |\psi {|}^4$ and $\tau |\psi {|}^6$ with considering the full back-reaction of the matter fields on the metric in the 3+1 dimensional bulk. The self-interaction terms are good at controlling the condensate to realize various phase transitions, such as the zeroth-order, first-order, and second-order phase transitions within the single condensate s-wave superfluid model. Therefore, in this work, we are able to investigate the influence of the back-reaction strength on the various phase transitions, including the zeroth and first order phase transitions. In addition, we confirm that the influence of the 4th and 6th power terms on the superfluid phase transition in the case of finite back-reaction are qualitative the same as in the probe limit, thus present universality. We also plot the special value ${\lambda }_s$ of the parameter $\lambda$ at different back-reaction strength, below which the condensate grows to an opposite direction and is important in controlling the order of the superfluid phase transitions. Comparing the influence of the back-reaction parameter and that of the higher-order nonlinear coefficients, we see that the back-reaction strength brings in both the effective couplings similar to the 4th power and 6th power terms.

arXiv comment9 pages, 10 figures; published in EPJC

References in corpus (45)

• Building an AdS/CFT superconductor
• Holographic Superconductors
• The gravity dual of a p-wave superconductor
• A 2 per cent Hubble constant measurement from standard sirens within 5 years
• First measurement of the Hubble constant from a dark standard siren using the Dark Energy Survey galaxies and the LIGO/Virgo binary-black-hole merger GW170814
• Constraints on the cosmic expansion history from GWTC-3
• An Analytic Holographic Superconductor
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• On Holographic p-wave Superfluids with Back-reaction
• Towards A Holographic Model of D-Wave Superconductors
• A Holographic P-wave Superconductor Model
• Holographic Superconductors with Hořava-Lifshitz Black Holes
• A Practical Mini-Course on Applied Holography
• Prospects for improving cosmological parameter estimation with gravitational-wave standard sirens from Taiji
• Competing Holographic Orders
• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Constant Curvature Black Hole and Dual Field Theory
• The Taiji-TianQin-LISA network: Precisely measuring the Hubble constant using both bright and dark sirens
• Competition between the s-wave and p-wave superconductivity phases in a holographic model
• Competition and Coexistence of Order Parameters in Holographic Multi-Band Superconductors
• Synergy between CSST galaxy survey and gravitational-wave observation: Inferring the Hubble constant from dark standard sirens
• Competition/Enhancement of Two Probe Order Parameters in the Unbalanced Holographic Superconductor
• Phase transitions in a holographic s+p model with backreaction
• Holographic d-wave superconductors
• Competing p-wave orders
• Holographic s+p Superconductors
• P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• Towards Complete Phase Diagrams of a Holographic P-wave Superconductor Model
• Non-linear elasticity, yielding and entropy in amorphous solids
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
• Competing s-wave orders from Einstein-Gauss-Bonnet gravity
• Shear flows in far-from-equilibrium strongly coupled fluids
• Model-independent $H_0$ within FLRW: Joint constraints from GWTC-3 standard sirens and strong lensing time delays
• Dynamical evolution of spinodal decomposition in holographic superfluids
• The geometry of RN-AdS fluids
• Standard siren cosmology in the era of the 2.5-generation ground-based gravitational wave detectors: bright and dark sirens of LIGO Voyager and NEMO
• Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
• Holographic Abrikosov lattice: vortex matter from black hole
• Aspects of univalence in holographic axion models
• Structural phase transition and its critical dynamics from holography
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions
• Holographic s-wave and p-wave Josephson junction with backreaction
• Dynamical and thermodynamic crossovers in the supercritical region of a holographic superfluid model

Cited by in corpus (2)

• Interior structure of black holes with nonlinear terms
• Phase transitions in scalarized topological AdS black holes