Critical magnetic field in a holographic superconductor

Nakano, Eiji; Wen, Wen-Yu

doi:10.1103/physrevd.78.046004

Cited by 127 publications

(148 citation statements)

References 14 publications

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“…Different modes of super criticality s-wave, p-wave and d-wave have been studied [20]. Also, one can apply this method to superconductors with external magnetic fields, which gives the analytical results in good agreement with numerical results produced previously [21,22].…”

Section: Introductionsupporting

confidence: 67%

More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

Momeni

Myrzakulov

2013

Journal of Gravity

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We have developed the recent investigations on the second-order phase transition in the holographic superconductor using the probe limit for a nonlinear Maxwell field strength coupled to a massless scalar field. By analytical methods, based on the variational Sturm-Liouville minimization technique, we study the effects of the spacetime dimension and the nonlinearity parameter on the critical temperature and the scalar condensation of the dual operators on the boundary. Further, as a motivated result, we analytically deduce the DC conductivity in the low and zero temperatures regime. Especially in the zero temperature limit and in two dimensional toy model, we thoroughly compute the conductivity analytically. Our work clarifies more features of the holographic superconductors both in different space dimensions and on the effect of the nonlinearity in Maxwell's strength field.

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Section: Introductionsupporting

confidence: 67%

More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

Momeni

Myrzakulov

2013

Journal of Gravity

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“…2 that one possible fate of the quantum critical system at low T is to undergo a phase transition to a superfluid state. Gubser and collaborators [34,35,36,37], Hartnoll, Herzog, and Horowitz [18,38,39,40] and others [41,42,43,44,45] have argued that the AdS4 dual of such a transition would involve condensation of a charged scalar field in the background an electrically charged black hole. Their solutions of such models have yielded fascinating results for the conductivity of the superfluid state, with intriguing connections to, and differences from, conventional weak coupling results in the condensed matter literature.…”

Section: Recent Developmentsmentioning

confidence: 99%

Quantum criticality and black holes

Sachdev

Müller

2009

J. Phys.: Condens. Matter

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Abstract. Many condensed matter experiments explore the finite temperature dynamics of systems near quantum critical points. Often, there are no well-defined quasiparticle excitations, and so quantum kinetic equations do not describe the transport properties completely. The theory shows that the transport co-efficients are not proportional to a mean free scattering time (as is the case in the Boltzmann theory of quasiparticles), but are completely determined by the absolute temperature and by equilibrium thermodynamic observables. Recently, explicit solutions of this quantum critical dynamics have become possible via the AdS/CFT duality discovered in string theory. This shows that the quantum critical theory provides a holographic description of the quantum theory of black holes in a negatively curved anti-de Sitter space, and relates its transport co-efficients to properties of the Hawking radiation from the black hole. We review how insights from this connection have led to new results for experimental systems: (i) the vicinity of the superfluid-insulator transition in the presence of an applied magnetic field, and its possible application to measurements of the Nernst effect in the cuprates, (ii) the magnetohydrodynamics of the plasma of Dirac electrons in graphene and the prediction of a hydrodynamic cyclotron resonance.Plenary talk at the 25th International Conference on Low Temperature Physics, Amsterdam, 6-13 Aug 2008. IntroductionA major focus of research in condensed matter physics is on systems which are not described by the familiar paradigms of order parameters and quasiparticles. In states with broken symmetry, we focus on the order parameter which characterizes the broken symmetry, and work with effective classical equations of motion for the order parameter. In states with long-lived quasiparticle excitations, we write down quantum transport equations (e.g. via the Keldysh formulation) for the quasiparticles and deduce a variety of transport properties. However, it has become clear in recent years that a number of interesting correlated electron materials do not fit easily into either of these paradigms. One promising and popular approach for describing these systems is to exploit their frequent proximity to quantum phase transitions [1], and so use a description in terms of "quantum criticality". This term refers to dynamics and transport in the non-zero temperature (T ) quantum critical region which spreads out from the T = 0 quantum critical point or phase (see Fig 2 below). Because there are no well-defined quasiparticles, and the excitations are strongly interacting, the description of quantum criticality is a challenging problem.It is useful to begin our discussion of quantum criticality by recalling a well-understood example of non-quasiparticle and non-order parameter dynamics: the Tomonaga-Luttinger (TL) liquid [2]. This is a compressible quantum state of many fermion or many bosons systems confined to move in one spatial dimension. Electronic quasiparticles are not well defined in

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“…Recently, the holographic dual of the insulator and superconductor system is also established in the background of an AdS soliton [7]. Due to the potential applications to the condensed matter physics, these gravity duals attracted a lot of attention and many properties have been disclosed, see for examples [8]- [26].…”

Section: Introductionmentioning

confidence: 99%

Holographic entanglement entropy in general holographic superconductor models

Peng

Pan

2014

J. High Energ. Phys.

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Abstract:We study the entanglement entropy of general holographic dual models both in AdS soliton and AdS black hole backgrounds with full backreaction. We find that the entanglement entropy is a good probe to explore the properties of the holographic superconductors and provides richer physics in the phase transition. We obtain the effects of the scalar mass, model parameter and backreaction on the entropy, and argue that the jump of the entanglement entropy may be a quite general feature for the first order phase transition. In strong contrast to the insulator/superconductor system, we note that the backreaction coupled with the scalar mass can not be used to trigger the first order phase transition if the model parameter is below its bottom bound in the metal/superconductor system.

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Critical magnetic field in a holographic superconductor

Abstract: We have studied a holographically dual description of superconductor in (2 + 1)-dimensions in the presence of applied magnetic field, and observed that there exists a critical value of magnetic field, below which a charged condensate can form via a second order phase transition.

Cited by 127 publications

References 14 publications

More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

Quantum criticality and black holes

Holographic entanglement entropy in general holographic superconductor models

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