Effective Holographic Theories for low-temperature condensed matter systems

Abstract

The IR dynamics of effective holographic theories capturing the interplay between charge density and the leading relevant scalar operator at strong coupling are analyzed. Such theories are parameterized by two real exponents $(\gamma ,\delta )$ that control the IR dynamics. By studying the thermodynamics, spectra and conductivities of several classes of charged dilatonic black hole solutions that include the charge density back reaction fully, the landscape of such theories in view of condensed matter applications is characterized. Several regions of the $(\gamma ,\delta )$ plane can be excluded as the extremal solutions have unacceptable singularities. The classical solutions have generically zero entropy at zero temperature, except when $\gamma =\delta$ where the entropy at extremality is finite. The general scaling of DC resistivity with temperature at low temperature, and AC conductivity at low frequency and temperature across the whole $(\gamma ,\delta )$ plane, is found. There is a codimension-one region where the DC resistivity is linear in the temperature. For massive carriers, it is shown that when the scalar operator is not the dilaton, the DC resistivity scales as the heat capacity (and entropy) for planar (3d) systems. Regions are identified where the theory at finite density is a Mott-like insulator at T=0. We also find that at low enough temperatures the entropy due to the charge carriers is generically larger than at zero charge density.

(v3): Added discussion on the UV completion of the solutions, and on extremal spectra in the charged case. Expanded discusion on insulating extremal solutions. Many other refinements and corrections. 126 pages. 48 figures

References in corpus (10)

• Building an AdS/CFT superconductor
• Holography from Conformal Field Theory
• Exploring improved holographic theories for QCD: Part II
• Metallic AdS/CFT
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• Chiral symmetry breaking as open string tachyon condensation
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Shear Modes, Criticality and Extremal Black Holes
• On Holographic Superconductors with DC Current

Cited by in corpus (125)

• Thermodynamical Property of Entanglement Entropy for Excited States
• A holographic critical point
• Momentum dissipation and effective theories of coherent and incoherent transport
• Quantum Critical Transport and the Hall Angle
• Thermal diffusivity and chaos in metals without quasiparticles
• Holographic Metals and Insulators with Helical Symmetry
• Introduction to Holographic Superconductor Models
• Charged Black Branes with Hyperscaling Violating Factor
• Quantum critical lines in holographic phases with (un)broken symmetry
• Scaling theory of the cuprate strange metals
• Holographic Complexity Equals Which Action?
• Fermi surfaces and gauge-gravity duality
• Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Charge diffusion and the butterfly effect in striped holographic matter
• Lifshitz holography: The whole shebang
• Universality classes for models of inflation
• Holographic Checkerboards
• Holography of charged dilatonic black branes at finite temperature
• Conductivities for Hyperscaling Violating Geometries
• Thermodynamics of Lifshitz Black Holes
• Inhomogeneity simplified
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Strange Metals in One Spatial Dimension
• The particle number in Galilean holography
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space
• Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
• Entangled Dilaton Dyons
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Intermediate scalings in holographic RG flows and conductivities
• Compressible quantum phases from conformal field theories in 2+1 dimensions
• On Holographic Entanglement Entropy of Charged Matter
• Backreacted DBI Magnetotransport with Momentum Dissipation
• Holographic quantum criticality from multi-trace deformations
• Thermodynamics of nonlinear charged Lifshitz black branes with hyperscaling violation
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
• Conductivity in the anisotropic background
• Generalized dilatation operator method for non-relativistic holography
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Holographic entanglement entropy in the nonconformal medium
• New black holes of vacuum Einstein equations with hyperscaling violation and Nil geometry horizons
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Charged Dilatonic Black Holes and their Transport Properties
• Non-conformal Hydrodynamics in Einstein-dilaton Theory
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
• Fermi surface behavior in the ABJM M2-brane theory
• "Triangular" extremal dilatonic dyons
• AdS plane waves, entanglement and mutual information
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• (Super)Yang-Mills at Finite Heavy-Quark Density
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Lifshitz symmetry: Lie algebras, spacetimes and particles
• Chaotic dynamics of string around charged black brane with hyperscaling violation
• Hyperscaling violation : a unified frame for effective holographic theories
• Dynamically generated gap from holography in the charged black brane with hyperscaling violation
• Selecting Horndeski theories without apparent symmetries and their black hole solutions
• Spontaneous chiral symmetry breaking in holographic soft wall models
• Charged Black Holes in Colored Lifshitz Spacetimes
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Conductivities from attractors
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories
• Reentrant phase transitions in Einstein-Maxwell-scalar black holes
• Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation
• Superfluid and Metamagnetic Phase Transitions in $\omega$-deformed Gauged Supergravity
• Gravity/Spin-model correspondence and holographic superfluids
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Holographic Renormalization of Einstein-Maxwell-Dilaton Theories
• Naked singularity, firewall, and Hawking radiation
• Holographic superconductors at zero density
• Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
• Hydrodynamics from scalar black branes
• On holographic entanglement entropy of non-local field theories
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Zero sound and higher-form symmetries in compressible holographic phases
• Tachyon-dependent Chern-Simons terms and the V-QCD Baryon
• Holographic phase transition and Quasinormal modes in Lovelock gravity
• Analytic AC conductivities from holography
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• Hidden horizons in non-relativistic AdS/CFT
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• On a lightlike limit of entanglement
• Holographic models of non-Fermi liquid metals revisited: an effective field theory approach
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Towards a field-theory interpretation of bottom-up holography
• Hydrodynamics in black brane with hyperscaling violation metric background
• Quantization and variational problem of the Gubser-Rocha Einstein-Maxwell-Dilaton model, conformal and non-conformal deformations, and its proper thermodynamics
• Rotating black holes in the FI-gauged $N=2$, $D=4$ ${\overline{\mathbb{C}\text{P}}}^n$ model
• A Zoo of Deformed Jackiw-Teitelboim Models near Large Dimensional Black Holes
• Late-time Structure of the Bunch-Davies FRW Wavefunction
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Entanglement structures from modified IR geometry
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Correlation functions for open strings and chaos
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Deep learning-based holography for T-linear resistivity
• Holographic Lifshitz flows
• The Aretakis constants and instability in general spherically symmetric extremal black hole spacetimes: higher multipole modes, late-time tails, and geometrical meanings
• Can a stationary Bianchi black brane have momentum along the direction with no translational symmetry?
• Effective long distance $q\bar{q}$ potential in holographic RG flows
• On black hole thermodynamics with a momentum relaxation
• Photoemission "experiments" on holographic lattices
• Coulomb drag between two strange metals
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Properties of gapped systems in AdS/BCFT
• An effective framework for strange metallic transport
• Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models
• Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
• Entropic destruction of heavy quarkonium with hyperscaling violation
• Correlation functions in expanding universes
• Lifshitz black holes in four-dimensional Critical Gravity
• Flow of shear response functions in hyperscaling violating Lifshitz theories
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• Disorder in AdS${}_3$/CFT${}_2$
• Diffusion and instabilities in large-N holographic Fermi liquids: the vector fluctuations of the electron star
• Stranger than Metals