We discuss the gravitational dual of a holographic superconductor consisting of a $U(1)$ gauge field, a complex scalar field coupled to a charged AdS black hole and a higher-derivative coupling between the $U(1)$ gauge field and the scalar with coupling constant $\eta$. In the presence of a magnetic field, the system possesses localized spatially dependent droplet solutions which, in the low temperature limit, have smaller critical temperature for $\eta >0$ than the droplet solutions without the interaction term ($\eta =0$). In the weak magnetic field limit, the opposite behavior is observed: the critical temperature increases as we increase $\eta$. We also calculate the energy gap in the probe limit and find that it is larger for $\eta <0$ than the energy gap in the conventional case ($\eta =0$).

• Received 23 May 2013

DOI:https://doi.org/10.1103/PhysRevD.88.086008