Transport in Anisotropic Superfluids: A Holographic Description

Journal of High Energy Physics (Impact Factor: 5.62). 09/2011; DOI: 10.1007/JHEP01(2012)059
Source: arXiv

ABSTRACT We study transport phenomena in p-wave superfluids in the context of
gauge/gravity duality. Due to the spacetime anisotropy of this system, the
tensorial structure of the transport coefficients is non-trivial in contrast to
the isotropic case. In particular, there is an additional shear mode which
leads to a non-universal value of the shear viscosity even in an Einstein
gravity setup. In this paper, we present a complete study of the helicity two
and helicity one fluctuation modes. In addition to the non-universal shear
viscosity, we also investigate the thermoelectric effect, i.e. the mixing of
electric and heat current. Moreover, we also find an additional effect due to
the anisotropy, the so-called flexoelectric effect.

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    ABSTRACT: Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics. The application of the gauge/gravity duality to quantum matter is a promising candidate to explain questions concerning non-zero temperature dynamics and transport coefficients. To a large extent, the success of applications of gauge/gravity duality to the quark-gluon plasma is founded on the derivation of a universal result, the famous ratio of shear viscosity and entropy density. As a base for applications to condensed matter physics, it is highly desirable to have a similar universal relation in this context as well. A candidate for such a universal law is given by Homes’ law : high Tc superconductors, as well as some conventional su- perconductors, exhibit a universal scaling relation between the superfluid density at zero temperature and the conductivity at the critical temperature times the critical temper- ature itself. In this work we describe progress in employing the models of holographic superconductors to realize Homes’ law and to find a universal relation governing strongly correlated quantum matter. We calculate diffusive processes, including the backreaction of the gravitational matter fields on the geometry. We consider both holographic s-wave and p-wave superconductors. We show that a particular form of Homes’ law holds in the absence of backreaction. Moreover, we suggest further steps to be taken for holographically realizing Homes’ law more generally in the presence of backreaction.
    Journal of High Energy Physics 10/2012; 2012(21-10). · 5.62 Impact Factor
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    ABSTRACT: We consider charged dilatonic black branes in AdS_5 and examine the effects of perturbative higher derivative corrections on the ratio of shear viscosity to entropy density eta/s of the dual plasma. The structure of eta/s is controlled by the relative hierarchy between the two scales in the plasma, the temperature and the chemical potential. In this model the background near-horizon geometry interpolates between a Lifshitz-like brane at low temperature, and an AdS brane at high temperatures -- with AdS asymptotics in both cases. As a result, in this construction the viscosity to entropy ratio flows as a function of temperature, from a value in the IR which is sensitive to the dynamical exponent z, to the simple result expected for an AdS brane in the UV. Coupling the scalar directly to the higher derivative terms generates additional temperature dependence, and leads to a particularly interesting structure for eta/s in the IR.
    Journal of High Energy Physics 11/2011; 2012(2). · 5.62 Impact Factor
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    ABSTRACT: We study the energy loss of a rotating infinitely massive quark moving, at constant velocity, through an anisotropic strongly-coupled N=4 plasma from holography. It is shown that, similar to the isotropic plasma, the energy loss of the rotating quark is due to either the drag force or radiation with a continuous crossover from drag-dominated regime to the radiation dominated regime. We find that the anisotropy has a significant effect on the energy loss of the heavy quark, specially in the crossover regime. We argue that the energy loss due to radiation in anisotropic media is less than the isotropic case. Interestingly this is similar to analogous calculations for the energy loss in weakly coupled anisotropic plasma.
    Journal of High Energy Physics 06/2012; 2012(10). · 5.62 Impact Factor

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