Quantum critical lines in holographic phases with (un)broken symmetry

Abstract

All possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are distinguished from hyperscaling violating geometries where the scalar runs logarithmically. It is shown that the general critical saddle-point solutions are characterized by three critical exponents ($\theta ,z,\zeta$). Both exact solutions as well as leading behaviors are exhibited. Using them, neutral or charged geometries realizing both fractionalized or cohesive phases are found. The generic global IR picture emerging is that of quantum critical lines, separated by quantum critical points which correspond to the scale invariant solutions with a constant scalar.

v3: 32+29 pages, 2 figures. Matches version published in JHEP. Important addition of an exponent characterizing the IR scaling of the electric potential

References in corpus (15)

• Building an AdS/CFT superconductor
• Gravity duals for non-relativistic CFTs
• Effective Holographic Theories for low-temperature condensed matter systems
• Exploring improved holographic theories for QCD: Part II
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Chiral symmetry breaking as open string tachyon condensation
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Holography of Dyonic Dilaton Black Branes
• Universal hydrodynamics of non-conformal branes
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Constructing Lifshitz solutions from AdS
• An AdS/QCD model from tachyon condensation: II
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• Domain Wall Holography for Finite Temperature Scaling Solutions

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• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Intermediate scalings in holographic RG flows and conductivities
• Superfluid and Metamagnetic Phase Transitions in $\omega$-deformed Gauged Supergravity
• Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
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