Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Kruglov, S. I.

doi:10.1002/andp.201800070

Cited by 11 publications

(8 citation statements)

References 70 publications

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“…In both cases, the transition temperature increases with the increase of charge density ρ. In particular, we have observed that in [39] for a given temperature as β increases the critical value of charge density increases similarly in the present model if we keep the temperature fixed at T = 0 and increase the analogous parameter Z 2 the critical value of charge density also increases. We have also studied the fermionic behaviour with the variation of the arcsin parameter Z 2 , where we find that with the increase of the arcsin parameter there is a transition from Fermi to non-Fermi regime.…”

Section: Discussionsupporting

confidence: 72%

“…In the present model as already mentioned in the introduction, we have considered a particular phase of the dual boundary theory. Comparing these results with the results of [39], we see that the boundary charge density ρ plays an important role in both the phases of the dual boundary theory. In the case of [39], ρ determines the critical phase transition temperature of the superconductor and also in the present case ρ determines the critical transition temperature from the regime of Fermi to Non-Fermi.…”

Section: Discussionsupporting

confidence: 70%

“…In the present work, we will consider another non-linear model of electrodynamics known as arcsin electrodynamics, which was introduced in [37]. An attractive feature of this model is the finite electric field of a pointlike charge at the origin and static electric energy of a particle is also finite [38,39]. The dual boundary theory of this model has been analysed in several works.…”

Section: Introductionmentioning

confidence: 99%

“…The dual boundary theory of this model has been analysed in several works. By introducing a scalar field in the gravity theory, it was shown [39], that the boundary theory may undergo condensation, that corresponds to spontaneous breaking of a U (1) symmetry and thus it admits a superconducting phase [39]. This model was further extended by introducing a neutral scalar field and axions, where the backreaction on the metric was also considered.…”

Section: Introductionmentioning

confidence: 99%

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Fermionic response in nonlinear arcsin electrodynamics

Rai

2019

Eur. Phys. J. C

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We consider certain blackhole solution in nonlinear arcsin electrodynamics coupled with gravity and axions. We have studied the behaviour of the fermionic operators in the dual (2+1)-dimensional theory. We consider holographic spectral function for both the backreacted solutions and probe limit over the range of physical parameters. We find that with a variation of the charge density the system changes from Fermi liquid to non-Fermi liquid and the transition point depends on the temperature.

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Section: Discussionsupporting

confidence: 72%

Section: Discussionsupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fermionic response in nonlinear arcsin electrodynamics

Rai

2019

Eur. Phys. J. C

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“…Gravitational fields are also treated as classical as quantum gravity is not developed yet. It was shown in [68] that in the model of holographic s-wave superconductors with arcsin-electrodynamics the condensation formation depends on the parameter β weakly as compared with the model with BI electrodynamics. In addition, to create the condensation is easier in arcsin-electrodynamics comparing to BI electrodynamics.…”

Section: Introductionmentioning

confidence: 99%

Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Kruglov¹

2019

Annals of Physics

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Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is electromagnetic fields obeying the arcsinelectrodynamics. We find corrections to Coulomb's law and Reissner− Nordström solutions. The principles of causality and unitarity are investigated. We obtain the Hawking temperature and it was shown that at some event horizons there are second-order phase transitions. of relativistic magnetohydrodynamics [12]. The superconductivity was studied in [13] and thermodynamic properties of the dyonic BH were investigated in [14]. All these show the importance of studying dyonic BHs.In this paper we investigate the dyonic BH in the framework of the nonlinear arcsin-electrodynamics. The nonlinear electrodynamics (NED) can solve the problems of singularities in the origin of particles and the problem of infinite self-energy at the classical level. Born and Infeld (BI) [15] proposed the model of NED that can solve problems of singularities. Heisenberg and Euler have shown that QED due to loop corrections gives NED [16]. Then some NED models were appeared that possess similar properties [17]- [27]. NED's coupled to general relativity (GR) were studied in [28]- [40]. Thermodynamics of the BH and corrections to Reisner−Nordström (RN) solutions were investigated [41]- [48]. Electrically and magnetically charged BHs were studied [49]- [56]. It was demonstrated that phase transitions can occur in the BH. Inflation and current acceleration of the universe also can be explained by NED coupled to GR [57]- [66].The paper is organized as follows. The principles of causality and unitarity of arcsin-electrodynamics are considered in section 2. In section 3 the dyonic solution of the BH is obtained. Corrections to Coulomb's law and RN solutions are found. The curvature singularities are studied and we calculate the Kretschmann scalar. The thermodynamics of the BH is considered in section 4. The Hawking temperature of the BH is obtained. In section 5 we study the magnetically charged BH. We show that at some model parameters there can be naked singularities, extremal BH solutions and BH solutions with two horizons. The Hawking temperature and corrections to RN solution are found. We show the possibility of phase transitions in the BH. Section 6 is devoted to a conclusion.We use units with c = 1, k B = 1, and signature η = diag(−, +, +, +).

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Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

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Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Cited by 11 publications

References 70 publications

Fermionic response in nonlinear arcsin electrodynamics

Fermionic response in nonlinear arcsin electrodynamics

Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Introductory Notes on Non‐linear Electrodynamics and its Applications

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