Intertwined order and holography: the case of the parity breaking pair density wave

Understand

We present a minimal bottom-up extension of the Chern-Simons bulk action for holographic translational symmetry breaking that naturally gives rise to pair density waves.

• We construct stationary inhomogeneous black hole solutions in which both the U(1) symmetry and spatially translational symmetry are spontaneously broken at finite temperature and charge density.
• This novel solution provides a dual description of a superconducting phase intertwined with charge, current and parity orders.