Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum

Understand

We study the spontaneous parity breaking and generating of Hall viscosity and angular momentum in holographic p+ip model, which can describe strongly-coupled chiral superfluid states in many quantum systems.

• The dual gravity theory, an SU(2) gauge field minimally coupled to Einstein gravity, is parity-invariant but allows a black hole solution with vector hair corresponding to a parity-broken superfluid state.
• We show that this state possesses a non-vanishing parity-odd transport coefficient -- Hall viscosity -- and an angular momentum density.
• We first develop an analytic method to solve this model near the critical regime and to take back-reactions into account.