  Frustration is an important phenomenon in condensed matter physics because it
can introduce a new order parameter such as chirality. Towards understanding a
mechanism of the frustration in strongly correlated systems, we study a
holographic superconductor model with three scalar fields and an interband
Josephson coupling, which is important for the frustration. We analyze free
energy of solutions of the model to determine ground states. We find chiral
ground states, which have nonzero chirality.
