Viscosities and shift in a chiral superfluid: a holographic study

Abstract

We consider a holographic model of chiral superfluidity whose bulk is Einstein Yang-Mills and compute viscosity and conductivity responses away from the probe limit. We calculate Hall viscosity and analyze its relationship to the superfluid density and the shift. We find that the relationship between these quantities derived from effective field theory at zero temperature persists for all temperatures: for $p\pm ip$ their ratio is equal to $\mp 1/2$. At low temperatures the system develops a Lifshitz throat, indicating an anisotropic scaling symmetry in the infrared dynamics.

arXiv comment18 pages, 8 figures

References in corpus (21)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A Stress Tensor for Anti-de Sitter Gravity
• Gravity Duals of Lifshitz-like Fixed Points
• The gravity dual of a p-wave superconductor
• Zero Temperature Limit of Holographic Superconductors
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Colorful horizons with charge in anti-de Sitter space
• Pseudogap and time reversal breaking in a holographic superconductor
• Quantum phase transitions in holographic models of magnetism and superconductors
• Collective modes and electromagnetic response of a chiral superconductor
• Effective theory of chiral two-dimensional superfluids
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
• Effective Field Theory of Relativistic Quantum Hall Systems
• The Euler current and relativistic parity odd transport
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Isolated Vortex and Vortex Lattice in a Holographic p-wave Superconductor