Holographic superconductor models with weyl corrections can also be found, for example, in refs. Analytical study of holographic pwave superfluid models in gaussbonnet gravity. Close to the transition temperature the condensed phase can be. Holographic superconductivity abstract in this thesis we apply the adscft conjecture to condensed matter physics and more speci cally we consider the application to layered superconductors. Phase diagram of a holographic superconductor model with s. Conductivity of the holographic p wave superconductors with higher. To be consistent with the equations of motion, we are not allowed to choose the direction of the condensate freely as. Introduction to holographic superconductor models qcn.
Lectures on holographic superfluidity and superconductivity. Magnetic field of plane wave the magnetic eld of a plane wave in a good conductor can be found using m4. Phases of holographic dwave superconductor springerlink. The first proposal that hightemperature cuprate superconductivity involves dwave pairing was made in 1987 by bickers, scalapino and scalettar, followed by three subsequent theories in 1988 by inui, doniach, hirschfeld and ruckenstein, using spinfluctuation theory, and by gros, poilblanc, rice and zhang, and by kotliar and liu identifying d. Holographic droplets in pwave insulatorsuperconductor transition dibakar roychowdhury s. These phases are relevant to the physics of cuprate hightc superconductor in pseudogap region. Prepared for submission to jhep ipmu140284 mpp2014581 swave superconductivity in anisotropic holographic insulators johannaerdmenger,a benediktherwerth,a. Swave superconductivity in anisotropic holographic insulators. Plane waves in free space and good conductors power and. Thus, we conclude that the amplitude of an electromagnetic wave propagating through a conductor decays exponentially on some lengthscale, which is termed the skindepth. Hong guo, fuwen shu, jinghe chen, hui li, ze yu submitted on 26 oct 2014 v1, last revised 3 feb 2015 this version, v3. Phase diagram of a holographic superconductor model with swave and dwave mitsuhiro nishida osaka university d1 m. Holographic superconductors with various condensates in einsteingaussbonnet gravity. Pdf holographic pwave superconductors from gaussbonnet.
In both cases only isotropic models were considered, though. Conductivity of the holographic pwave superconductors. The behaviors of the swave holographic superconductor under. Besides the actual description of the standard holographic superconductor, attention. Propagation in a conductor university of texas at austin. Holographic projection technologies of the future are moving forward fast and as you can image there are many entrepreneurs who are dreaming up some killer applications for this new science. Reviews of the holographic superconductors can be found in refs. Any material exhibiting these properties is a superconductor. Particles and fields 826 july 2010 with 48 reads how we measure reads.
We construct top down models for holographic dwave superfluids in which the order parameter is a charged spin two field in the bulk. Swave superconductivity in anisotropic holographic. Lis the ads radius and mdetermines the hawking temperature of the black hole. In fact the one industry analyst from the online think tank acknowledges that the. In the present paper, based on the notion of marginally stable modes of vector perturbations in the ads soliton back ground we investigate the magnetic field effect on holographic pwave insulatorsuperconductor transition in the probe limit. This shows that the energy to break apart the condensate is more than twice the weakly coupled value.
We perform explicit analytic calculations considering both schwarzschild ads soliton and gauss bonnet ads soliton back grounds and obtain a. It can be the interference pattern on a photographic plate from a threedimensional object, or the entropy impressed on the surface of a black hole, or a physical theory translated into another form. With the aim of providing some toymodelbased insights on these issues, we have studied the simplest holographic realization of strongly coupled unbalanced swave su. The entanglement entropy, considered as a function of the charge density at a given.
Think about how an ac current might be induced in the cable. Fermionic operator mixing in holographic pwave superfluids martin ammon et al 2010 journal of high energy physics 2010 53. Unbalanced holographic superconductors and spintronics. Davison1 1instituutlorentz for theoretical physics, universiteit leiden, p. Ditp advanced topics in theoretical physics fall 20 k. The birth of quantum holographymaking holograms of single. The general action describing a charged, complex scalar field coupled to the einstein tensor g. Pdf dwave holographic superconductors with backreaction. Superconductivity is the set of physical properties observed in certain materials, wherein electrical resistance vanishes and from which magnetic flux fields are expelled. A simple introduction to adscft and its application to. We solve the full coupled equations of motion of the system and find black hole solutions with the vector hair.
Future work back reaction other coupling other parameters other ansatz. In the early eighties, many more unconventional, heavy fermion superconductors were discovered, including ube. It is easy to notice that the holographic phase is related to the square of the interval in spacetime. Energy wave holographic data disc energy wave worldwide. For the present approach, it is shown that the equations of motion for different wave states in einstein gravity can be written into a unified form, and condensates take place in all three cases. Besides the swave superconductors, which can be described very well by the bcs theory, there are unconventional superconductors such as pwave and dwave superconductors 37,38. The quantum dwave 2 is 3,600 times faster than a super.
Close to the transition temperature the condensed phase can be captured by a charged spin two field in an rcharged black hole background downstairs picture or equivalently by specific graviton perturbations of a spinning black brane upstairs picture. In ordinary conductors, such as copper or silver, this decrease is limited by impurities and other defects. A novel mechanism to generate fflo states in holographic. We explore the systems dependence on the scalar mass for both positive and negative gb coupling. We relax the probe limit and further assume the scalar and gauge. In this thesis we study two different aspects of holographic superconductivity. Plane waves in free space and good conductors power and poynting vector. To map a superconductor to a gravity dual, we introduce temperature by.
The vortex lattice solutions of the model have also been obtained with different lifshitz scaling. For a given temperature, the system goes to a superconducting phase beyond a critical value of the charge density. A holographic model of dwave superconductor vortices with. Unlike an ordinary metallic conductor, whose resistance decreases gradually as its temperature is lowered even down to near absolute zero, a superconductor has a. Even near absolute zero, a real sample of a normal conductor.
Bose national centre for basic sciences, jd block, sector iii, salt lake, kolkata700098, india abstract in the present paper, based on the notion of marginally stable modes of vector. On holographic pwave superfluids with backreaction. A holographic model of d wave superconductor vortices with lifshitz scaling article pdf available in international journal of modern physics d 252 october 2014 with 29 reads. We shall analyze the source terms in the maxwells equations to simplify maxwells equations in. Pdf holographic dwave superconductors researchgate. The complex vector field is charged under the maxwell field.
Analytical and numerical study of backreacting one. Particles and fields 8110 march 2010 with 44 reads how we measure reads. A holographic model of dwave superconductor vortices with lifshitz scaling. Apart from the known homogeneous dwave superconducting phase we find three new solutions. By using a holographic principle, these systems described by gauge.
A holographic model of dwave superconductor vortices with lifshitz scaling authors. There are several studies of the behavior of holographic superconductors in the presence of an external magnetic. Pdf on holographic pwave superfluids with backreaction. Analytical study on holographic superconductors for borninfeld electrodynamics in gaussbonnet gravity with backreactions, journal of high energy physics, vol. The holographic model for s wave high tc superconductors developed by hartnoll, herzog and horowitz is generalised to describe d wave superconductors. First we study fully backreacting gaussbonnet gb holographic superconductors in 5 bulk spacetime dimensions. The quantum dwave 2 is 3,600 times faster than a super computer. We thus explore the effects of backreaction on the condensation of the scalar hair. Holographic superconductivity e ective field theoretic. The holographic principle is a property of quantum gravity theories which resolves the black hole information paradox within string theory. These charged particles experience lorentz force when exposed to electromagnetic elds. Backreacting holographic superconductors from the coupling of a.
Pdf building a holographic superconductor researchgate. For the analytical method, we employ the sturmliouville eigenvalue problem, and. Abstract result motivation understanding of a phase structure about di. We study analytically the d wave holographic superconductors with lifshitz scaling in the presence of external magnetic field. A holographic pwave superconductor model springerlink. Pdf towards a holographic model of dwave superconductors. The vector hairy black hole solutions are dual to a thermal. Holographic droplets in pwave insulatorsuperconductor. A simple introduction to adscft and its application to condensed matter physics. Pdf dwave holographic superconductor vortex lattice and.
By making use of the matching methods, w e study analytically the dwave holographic superconductors with lifshitz. Holographic pwave superconductor models with weyl corrections. It is expected that the holographic hypothesis may 123. In this work, the s wave, p wave and d wave holographic superconductors in the horavalifshitz gravity are investigated in the probe limit. Introductory notes on holographic superconductors inspire. In the hands of a skilled physicist, the function could be. Analytical study of the holographic superconductor from. Dielectrics and conductors in this lecture you will learn. A maxwellvector pwave holographic superconductor in a particular. The attractive feature of our model is that the condensation formation depends on. We construct top down models for holographic d wave superfluids in which the order parameter is a charged spin two field in the bulk. Hong guo, fuwen shu, jinghe chen, hui li, ze yu submitted on.
The conduction current in a conductor is the cause of the di. Except in plasmas ionized gases, currents are predominantly caused by electron motion because ions are practically immobile. Given a plane wave incident on a highlyconducting surface, the electric field and thus the current density is found to be concentrated at the. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. We study a holographic pwave superconductor model in a four dimensional einsteinmaxwellcomplex vector field theory with a negative cosmological constant. We study the d wave holographic superconductors the d wave model proposed in arxiv. Our results imply that holographic d wave superconductor is indeed a type ii one even for different lifshitz scaling. I equation of state i real time correlation functions i transport properties conductivities, di. Higher dimensional holographic superconductors in born. Holographic dwave model was constructed by introducing a charged massive spin two field propagating in the bulk 14, 15. A holographic model of d wave superconductor vortices with lifshitz scaling authors. The critical exponent of holographic swave superconductors is equal to 12 as in other models.
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