AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition

Abstract

This paper presents a dual gravity model for a (2+1)-dimensional system with a limit on finite charge density and temperature, which will be used to study the properties of the holographic phase transition to paramagnetism-ferromagnetism in the presence of Horndeski gravity terms. In our model, the non-zero charge density is supported by a magnetic field. As a result, the radius $\rho /B$ indicates a localized condensate, as we increase the Horndeski gravity parameter, that is represented by $\gamma$. Furthermore, such condensate shows quantum Hall-type behavior. This radius is also inversely related to the total action coefficients of our model. It was observed that increasing the Horndeski parameter decreases the critical temperature of the holographic model and leads to the harder formation of the magnetic moment at the bottom of the black hole. However, when removing the magnetic field, the ferromagnetic material presents a disorder of its magnetic moments, which is observed through the entropy of the system. We also found that at low temperatures, spontaneous magnetization and ferromagnetic phase transition.

29 pages, 15 figures

References in corpus (11)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Building an AdS/CFT superconductor
• Black holes with non-minimal derivative coupling
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Paramagnetism-Ferromagnetism Phase Transition in a Dyonic Black Hole
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
• Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
• Planar black holes configurations and shear viscosity in arbitrary dimensions with shift and reflection symmetric scalar-tensor theories
• Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics
• Holographic complexity of braneworld in Horndeski gravity

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• Einstein-Horndeski gravity and the ultra slowly evaporating black hole
• Geometric Josephson junction
• Holographic Boundary Conformal Field Theory within Horndeski Gravity
• Cosmological scalar perturbations in Horndeski-like gravity
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• q-Deformed glueballs spectrum in AdS/QCD correspondence