Abstract
We study a generalization of the standard holographic p-wave superconductor featuring two interacting vector order parameters. Basing our argument on the symmetry and linear response properties of the model, we propose it as a holographic effective theory describing a strongly coupled ferromagnetic superconductor. We show that the two order parameters undergo concomitant condensations as a manifestation of an intrinsically interlaced electric/magnetic dynamics. Such intertwined dynamics is confirmed by the study of the transport properties. We characterize thoroughly the equilibrium and the linear response (i.e. optical conductivity and magnetic susceptibility) of the model at hand by means of a probe approximation analysis. Some insight about the effects of backreaction in the normal phase can be gained by analogy with the s-wave unbalanced holographic superconductor.
Highlights
Gauge/gravity correspondence has provided us with a novel theoretical framework to investigate the strongly coupled regime of quantum field theory [1]
Basing our argument on the symmetry and linear response properties of the model, we propose it as a holographic effective theory describing a strongly coupled ferromagnetic superconductor
We propose a bottom-up holographic model to account for the interplay of two strongly coupled vector order parameters
Summary
Gauge/gravity correspondence has provided us with a novel theoretical framework to investigate the strongly coupled regime of quantum field theory [1] Such fruitful approach has a natural application to quantum critical and strongly correlated systems which are ubiquitous in condensed matter [2,3,4]. The generalization consists in adding a second non-Abelian gauge field in the bulk and considering direct interactions between the two vector fields. The present model belongs both to the class of holographic systems containing spinful order parameters and to the class possessing more than one order parameter In the former group, besides the p-wave superconductors, we can find models describing d-wave order parameters [9]. In the latter class we find either models describing multiband superconductors [10, 11] or models which investigate the coexistence of different orderings [15,16,17,18,19].1
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