Holographic p-wave superfluid in the AdS soliton background with $R{F}^2$ corrections

Abstract

We investigate the holographic p-wave superfluid in the background metric of the AdS soliton with $R{F}^2$ corrections. Two models, namely, the Maxwell complex vector field model and Yang-Mills theory, are studied in the above context by employing the Sturm-Liouville approach as well as the shooting method. When turning on the spatial components of the gauge field, one observes that, in the probe limit, the inclusion of $R{F}^2$ corrections hinders the superfluid phase transition. On the other hand, however, in the absence of the superfluid velocity, it is found that the $R{F}^2$ corrections lead to distinct effects for the two models. Regardless of either the $R{F}^2$ correction or the spatial component of the gauge field, the phase transition of the system is observed to be always of the second order. Moreover, a linear relationship between the charge density and chemical potential is largely established near the critical point in both holographic superfluid models.

arXiv comment20 pages, 2 figures, 3 tables

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