Quantum Critical Superfluid Flows and Anisotropic Domain Walls

Abstract

We construct charged anisotropic AdS domain walls as solutions of a consistent truncation of type IIB string theory. These are a one-parameter family of solutions that flow to an AdS fixed point in the IR, exhibiting emergent conformal invariance and quantum criticality. They represent the zero-temperature limit of the holographic superfluids at finite superfluid velocity constructed in arXiv:1010.5777. We show that these domain walls exist only for velocities less than a critical value, agreeing in detail with a conjecture made there. We also comment about the IR limits of flows with velocities higher than this critical value, and point out an intriguing similarity between the phase diagrams of holographic superfluid flows and those of ordinary superconductors with imbalanced chemical potential.

11 pages, 3 figures. V2: Very minor corrections. JHEP version

References in corpus (7)

• Building an AdS/CFT superconductor
• Effective Holographic Theories for low-temperature condensed matter systems
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• The Many Phases of Holographic Superfluids
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