Disordered quantum critical fixed points from holography

Abstract

Using holographic duality, we present an analytically controlled theory of quantum critical points without quasiparticles, at finite disorder and finite charge density. These fixed points are obtained by perturbing a disorder-free quantum critical point with relevant disorder whose operator dimension is perturbatively close to Harris marginal. We analyze these fixed points both using field theoretic arguments, and by solving the bulk equations of motion in holography. We calculate the critical exponents of the IR theory, together with thermoelectric transport coefficients. Our predictions for the critical exponents of the disordered fixed point are consistent with previous work, both in holographic and nonholograpic models.

arXiv comment5+14 pages

References in corpus (35)

• A bound on chaos
• Lectures on holographic methods for condensed matter physics
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Theory of universal incoherent metallic transport
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Lifshitz holography
• Numerical Methods for Finding Stationary Gravitational Solutions
• Universal theory of strange metals from spatially random interactions
• Dissecting holographic conductivities
• Incoherent transport in clean quantum critical metals
• Scaling theory of the cuprate strange metals
• Spectral weight in holographic scaling geometries
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
• Conductivity of a strange metal: from holography to memory functions
• Disordered horizons: Holography of randomly disordered fixed points
• The holographic Weyl semi-metal
• Lifshitz holography: The whole shebang
• Momentum relaxation from the fluid/gravity correspondence
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Hovering Black Holes from Charged Defects
• QED${}_3$ with quenched disorder: quantum critical states with interactions and disorder
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• Disordered Holographic Systems II: Marginal Relevance of Imperfection
• The renormalization group flow in field theories with quenched disorder
• Two dimensional metallic phases from disordered QED${}_3$
• Disorder in Large-N Theories
• Large N renormalization group study of the commensurate dirty boson problem
• Disordered fermionic quantum critical points
• The renormalization group in quantum quenched disorder
• Thermal conductivity at a disordered quantum critical point
• Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point
• Renormalization group in quantum critical theories with Harris-marginal disorder
• Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
• Quenched random mass disorder in the large N theory of vector bosons

Cited by in corpus (8)

• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• A Bound on Thermalization from Diffusive Fluctuations
• Beyond Drude transport in hydrodynamic metals
• Linear-T Resistivity from Spatially Random Vector Coupling
• Coexistence of topological semimetal states in holography
• Fractionalized Fermi liquids and the cuprate phase diagram
• Random displacements in critical Rydberg atom arrays