Holographic metals and the fractionalized Fermi liquid

Abstract

We show that there is a close correspondence between the physical properties of holographic metals near charged black holes in anti-de Sitter (AdS) space, and the fractionalized Fermi liquid phase of the lattice Anderson model. The latter phase has a "small" Fermi surface of conduction electrons, along with a spin liquid of local moments. This correspondence implies that certain mean-field gapless spin liquids are states of matter at non-zero density realizing the near-horizon, AdS_2 x R^2 physics of Reissner-Nordstrom black holes.

4 pages; (v2+v3) Clarifications, corrected typos, and new refs

References in corpus (7)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Real-time response in AdS/CFT with application to spinors
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Cited by in corpus (283)

• Comments on the Sachdev-Ye-Kitaev model
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• A Generalization of Sachdev-Ye-Kitaev
• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• Holographic quantum matter
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• What can gauge-gravity duality teach us about condensed matter physics?
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Locally critical umklapp scattering and holography
• Numerical study of fermion and boson models with infinite-range random interactions
• Bi-Local Holography in the SYK Model
• Holography of Dyonic Dilaton Black Branes
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Notes on the complex Sachdev-Ye-Kitaev model
• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• The Bulk Dual of SYK: Cubic Couplings
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Towards a full solution of the large N double-scaled SYK model
• Electron stars for holographic metallic criticality
• An introduction to the SYK model
• Measurement of many-body chaos using a quantum clock
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Theory of a Planckian metal
• Supersymmetric SYK model and random matrix theory
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Higher Dimensional Generalizations of the SYK Model
• Quantum Critical Transport Near the Mott Transition
• Thermal diffusivity and chaos in metals without quasiparticles
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Towards a 2d QFT Analog of the SYK Model
• A Supersymmetric SYK-like Tensor Model
• Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
• Large $N$ theory of critical Fermi surfaces
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Semi-local quantum liquids
• Three Dimensional View of the SYK/AdS Duality
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Holographic End-Point of Spatially Modulated Phase Transition
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• AdS${}_2$ Holographic Dictionary
• Magnetotransport in a model of a disordered strange metal
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• Fermi surfaces and gauge-gravity duality
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Holographic non-Fermi liquid fixed points
• Menagerie of AdS${}_2$ boundary conditions
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Flat space holography and complex SYK
• Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
• Nearly AdS2 Sugra and the Super-Schwarzian
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Towards a holographic marginal Fermi liquid
• Hawking Radiation and Non-equilibrium Quantum Critical Current Noise
• A model of a Fermi liquid using gauge-gravity duality
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev Model
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• A Holographic Model of the Kondo Effect
• The Pauli exclusion principle at strong coupling: Holographic matter and momentum space
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Fractionalization of holographic Fermi surfaces
• Towards a bulk description of higher spin SYK
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• Schrödinger Holography with and without Hyperscaling Violation
• Entanglement entropy of the $\nu =1/2$ composite fermion non-Fermi liquid state
• SYK-like Tensor Models on the Lattice
• A note on the SYK model with complex fermions
• Vector models and generalized SYK models
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Carroll black holes
• An orbital-selective spin liquid in a frustrated heavy fermion spinel LiV${}_2$O${}_4$
• A maximally supersymmetric Kondo model
• Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
• Eliashberg equations for an electron-phonon version of the Sachdev-Ye-Kitaev model: Pair Breaking in non-Fermi liquid superconductors
• A note on the complex SYK model and warped CFTs
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Fluctuations and instabilities of a holographic metal
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
• Phases Of Melonic Quantum Mechanics
• Matrix ensembles with global symmetries and 't Hooft anomalies from 2d gauge theory
• Contrasting SYK-like Models
• From operator statistics to wormholes
• Supersymmetric SYK models
• Holographic quantum criticality and strange metal transport
• Disorder in the Sachdev-Yee-Kitaev Model
• Fermi surfaces in N=4 Super-Yang-Mills theory
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Strange Metals in One Spatial Dimension
• Luttinger's theorem, superfluid vortices, and holography
• Spectral probes of the holographic Fermi groundstate: dialing between the electron star and AdS Dirac hair
• Towards the Holographic Dual of N = 2 SYK
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• A new class of SYK-like models with maximal chaos
• Near horizon dynamics of three dimensional black holes
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Preformed Excitons, Orbital Selectivity, and Charge-Density-Wave Order in 1T-TiSe_2
• Study of Anisotropic Black Branes in Asymptotically anti-de Sitter
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Universal linear in temperature resistivity from black hole superradiance
• Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers
• Spectral Fluctuations in the Sachdev-Ye-Kitaev Model
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• Monopoles and Holography
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• Hydrodynamic diffusion and its breakdown near AdS${}_2$ quantum critical points
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Some properties of the holographic fermions in an extremal charged dilatonic black hole
• Spectral function of the supersymmetry current
• Magnetic AdS x R^2: Supersymmetry and stability
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Compressible quantum phases from conformal field theories in 2+1 dimensions
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Vortex Lattices and Crystalline Geometries
• Holographic quantum criticality from multi-trace deformations
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• More on the New Large $D$ Limit of Matrix Models
• Eigenstate capacity and Page curve in fermionic Gaussian states
• Quantum Criticality and DBI Magneto-resistance
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• Thickening and sickening the SYK model
• Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
• Quantum Quenches in a Holographic Kondo Model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Flat JT Gravity and the BMS-Schwarzian
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Rotating Black Holes in AdS, Extremality and Chaos
• The chiral SYK model
• Non-supersymmetric AdS and the Swampland
• Holographic order parameter for charge fractionalization
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Kinetic approach to relativistic dissipation
• The landscape of the Hubbard model
• Quantum phase transition at non-zero doping in a random $t$-$J$ model
• Bi-Local Holography in the SYK Model: Perturbations
• Fractionalized Metal in a Falicov-Kimball Model
• Strange Half Metals and Mott Insulators in SYK Models
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model
• Stripe Instabilities of Geometries with Hyperscaling Violation
• Cold planar horizons are floppy
• Full time-dependent Hartree-Fock solution of large N Gross-Neveu models
• Holographic Charge Oscillations
• Seeing behind black hole horizons in SYK
• Generalized conformal structure, dilaton gravity and SYK
• Holography for anisotropic branes with hyperscaling violation
• Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
• Fermi surface behavior in the ABJM M2-brane theory
• Friedel Oscillations in Holographic Metals
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• TASI Lectures on Emergence of Supersymmetry, Gauge Theory and String in Condensed Matter Systems
• Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
• Phase diagram of a two-site coupled complex Sachdev-Ye-Kitaev model
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Variational wavefunctions for Sachdev-Ye-Kitaev models
• Exciton dynamics uncovering electron fractionalization in superconducting cuprates
• Gravitational collapse in SYK models and Choptuik-like phenomenon
• Minding the Gap in N=4 Super-Yang-Mills
• Superconducting critical temperature in the extended diffusive SYK model
• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
• Quantum critical transport at a continuous metal-insulator transition
• Quantum chaos associated with emergent ergosurface in transition layer between type-I and type-II Weyl semimetals
• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• A Comment on Holographic Luttinger Theorem
• Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon
• On the large $D$ expansion of Hermitian multi-matrix models
• Gauge Theory Formulation of Hyperbolic Gravity
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Holographic Renormalization of Einstein-Maxwell-Dilaton Theories
• Holography and condensed matter
• Entanglement entropy of compressible holographic matter: loop corrections from bulk fermions
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Zero sound and higher-form symmetries in compressible holographic phases
• Quantum critical Mott transitions in a bilayer Kondo insulator-metal model system
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Metallic Spin Liquid-like Behavior of LiV${}_2$O${}_4$
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Schwarzian correction to quantum correlation in SYK model
• dS${}_2$ as excitation of AdS${}_2$
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• One SYK SET
• Models of phase stability in Jackiw-Teitelboim gravity
• Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
• Charge Expulsion from Black Brane Horizons, and Holographic Quantum Criticality in the Plane
• Shear viscosity of strongly interacting fermionic quantum fluids
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• Flat space holography in spin-2 extended dilaton-gravity
• Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
• Complete Solution of a Gauged Tensor Model
• Fingerprints of quantum criticality in locally resolved transport
• SYK/AdS duality with Yang-Baxter deformations
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• Gravity as an ensemble and the moment problem
• Demystifying the Holographic Mystique
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Fermi-like Liquid From Einstein-DBI-Dilaton System
• ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
• Toward Krylov-based holography in double-scaled SYK
• Hayden-Preskill Recovery in Hamiltonian Systems
• Holography, Fractionalization and Magnetic Fields
• Les Houches lectures on two-dimensional gravity and holography
• Persistent Superconductor Currents in Holographic Lattices
• Quantum Critical Phase and Lifshitz Transition in an Extended Periodic Anderson Model
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• True SYK or (con)sequences
• Phase space holography with no strings attached
• Hund flat band in a frustrated spinel oxide
• Soliton Stars as Holographic Confined Fermi Liquids
• Drude weight and Mazur-Suzuki bounds in holography
• Approximate strange metallic behavior in AdS
• Mimicking black hole event horizons in atomic and solid-state systems
• Nonlocal fermions and the entropy volume law
• Photoemission "experiments" on holographic lattices
• SYK does not Transit Gloria Mundi just yet
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• Thermodynamic signatures of a fractionalized Fermi liquid
• $\mathcal{N}=4$ supersymmetric Schwarzian with $D(1,2;\alpha )$ symmetry
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Two indices Sachdev-Ye-Kitaev model
• Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
• Fermi Surface Bosonization for Non-Fermi Liquids
• Holography in CGHS supergravity
• Quantum many-body physics from a gravitational lens
• Quantum Annealing with chaotic driver Hamiltonians
• Exciton-driven quantum phase transitions in holography
• SYK model with an extra diagonal perturbation: phase transition in the eigenvalue spectrum
• Superconductivity of Incoherent Electrons near the Relativistic Mott Transition in Twisted Dirac Materials
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Holographic Aspects of Even-Dimensional Topological Gravity
• Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems
• Extended dual description of Mott transition beyond two-dimensional space
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
• Statistical Mechanics of Exponentially Many Low Lying States
• Lyapunov exponents in $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim gravity
• KdV conformal symmetry breaking in nearly AdS${}_2$
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Gravity from AKSZ-Manin theories in two, three, and four dimensions
• Holographic mean field theory and Kondo lattice
• Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
• Entanglement rules for holographic Fermi surfaces
• A Holographic Two-Impurity Kondo Model
• Entanglement Entropy of Magnetic Electron Stars
• Holographic metals at finite doping
• Stranger than Metals
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• AdS black holes in two-dimensional dilaton gravity and holography
• Integrable Model of a Superconductor with non-Fermi liquid and Mott Phases
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Renormalization Group Flow for Noncommutative Fermi Liquids
• A so(2,2) extension of JT gravity via the Virasoro-Kac-Moody semidirect product
• Probing Fractionalized Charges
• Bosonic near-CFT${}_1$ models from Fock-space fluxes
• Interplay of Quantum and Thermal Fluctuations in Two-Dimensional Randomly Pinned Charge Density Waves
• Factorization and global symmetries in holography
• On the Explicit Asymptotic Symmetry Breaking of sl(3,R) Jackiw-Teitelboim Gravity
• A late times approximation for the SYK spectral form factor