Coexistence of two vector order parameters: a holographic model for ferromagnetic superconductivity

• Published in: The journal of high energy physics Vol. 2014; no. 1; pp. 1 - 39
• Main Authors: Amoretti, Andrea, Braggio, Alessandro, Maggiore, Nicola, Magnoli, Nicodemo, Musso, Daniele
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2014; Springer Nature B.V
• Subjects: Charge; Classical and Quantum Gravitation; Elementary Particles; Ferromagnetism; High energy physics; Mathematical analysis; Mathematical models; Order parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Superconductors; Vectors (mathematics); Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2014)054

A bstract 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 charge/spin 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 spin 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.