Holographic quantum matter

Abstract

We present a review of theories of states of quantum matter without quasiparticle excitations. Solvable examples of such states are provided through a holographic duality with gravitational theories in an emergent spatial dimension. We review the duality between gravitational backgrounds and the various states of quantum matter which live on the boundary. We then describe quantum matter at a fixed commensurate density (often described by conformal field theories), and also compressible quantum matter with variable density, providing an extensive discussion of transport in both cases. We present a unified discussion of the holographic theory of transport with memory matrix and hydrodynamic methods, allowing a direct connection to experimentally realized quantum matter. We also explore other important challenges in non-quasiparticle physics, including symmetry broken phases such as superconductors and non-equilibrium dynamics.

178 pages, 43 figures; Draft of a review article for hep-th and cond-mat readers, comments welcome; (v2) added clarifications and references; expanded version, with exercises, published as a book by MIT Press: https://mitpress.mit.edu/books/holographic-quantum-matter

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• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
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• Theory of universal incoherent metallic transport
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• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
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• Quantum critical transport in clean graphene
• Enhancement of superconductivity near a nematic quantum critical point
• Holographic Phase Transitions with Fundamental Matter
• Holographic model of superfluidity
• Are non-Fermi-liquids stable to Cooper pairing?
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Real-time response in AdS/CFT with application to spinors
• Hall conductivity from dyonic black holes
• Relativistic Hydrodynamics with General Anomalous Charges
• Colorful horizons with charge in anti-de Sitter space
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Momentum dissipation and effective theories of coherent and incoherent transport
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Slow imbalance relaxation and thermoelectric transport in graphene
• Holography of Dyonic Dilaton Black Branes
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Quantum-critical relativistic magnetotransport in graphene
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Electron stars for holographic metallic criticality
• An Analytic Holographic Superconductor
• Quantum chaos on a critical Fermi surface
• Lifshitz Solutions of D=10 and D=11 supergravity
• Quantum Critical Transport and the Hall Angle
• Impure AdS/CFT
• Inverse Energy Cascade in Forced 2D Quantum Turbulence
• String Theory and Quantum Chromodynamics
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Holographic Metals and Insulators with Helical Symmetry
• Algebraic charge liquids
• Collective cyclotron motion of the relativistic plasma in graphene
• Memory matrix theory of magnetotransport in strange metals
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Scaling theory of the cuprate strange metals
• Holographic End-Point of Spatially Modulated Phase Transition
• A Topology-Changing Phase Transition and the Dynamics of Flavour
• Dynamically Generated Gap from Holography: Mottness from a Black Hole
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Fermi surfaces and gauge-gravity duality
• Holographic Responses of Fermion Matter
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Conductivity of a strange metal: from holography to memory functions
• Dynamical Gap and Cuprate-like Physics from Holography
• Quasi-Local Strange Metal
• Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
• The quasi-normal modes of quantum criticality
• Electron star birth: A continuous phase transition at nonzero density
• Hawking-Page transition in holographic massive gravity
• Electrical resistivity near Pomeranchuk instability in two dimensions
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Holographic Fermi arcs and a d-wave gap
• Quasinormal spectrum and the black hole membrane paradigm
• Spectral energy transport in two-dimensional quantum vortex dynamics
• Competing Holographic Orders
• Holographic Checkerboards
• Black holes and non-relativistic quantum systems
• Conductivities for Hyperscaling Violating Geometries
• Comments on Fermi Liquid from Holography
• A controlled expansion for certain non-Fermi liquid metals
• Sum Rules and Ward Identities in the Kondo Lattice
• Inhomogeneity simplified
• The Many Phases of Holographic Superfluids
• Power-law dependence of the optical conductivity observed in the quantum spin-liquid compound κ-(BEDT-TTF)2Cu2(CN)3
• Holographic superconductors from the massive gravity
• Paramagnetism-Ferromagnetism Phase Transition in a Dyonic Black Hole
• Adventures in Holographic Dimer Models
• A Simple Holographic Insulator
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Onset of a boson mode at superconducting critical point of underdoped YBa2Cu3Oy
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Universal thermal and electrical conductivity from holography
• Stability of Massive Gravity Solutions for Holographic Conductivity
• Compressible quantum phases from conformal field theories in 2+1 dimensions
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
• Critical capacitance and charge-vortex duality near the superfluid to insulator transition
• Minding the Gap in Holographic Models of Interacting Fermions
• Constraining quantum critical dynamics: 2+1D Ising model and beyond
• Proof of universality of electrical conductivity at finite chemical potential
• Cold planar horizons are floppy
• The Spin of Holographic Electrons at Nonzero Density and Temperature
• Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds
• Fermi surface behavior in the ABJM M2-brane theory
• Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling
• Deviation from the Wiedemann-Franz law induced by nonmagnetic impurities in overdoped La_{2-x}Sr_{x}CuO_{4}
• Holographic Fermi surfaces at finite temperature in top-down constructions
• Low temperature properties of holographic condensates
• Spin and holographic metals

Cited by in corpus (190)

• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Hydrodynamics of electrons in graphene
• Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
• The complex life of hydrodynamic modes
• Thermal diffusivity and chaos in metals without quasiparticles
• Hydrodynamic approach to electronic transport in graphene
• Perfect Fluids
• Holography and hydrodynamics with weakly broken symmetries
• Theory of hydrodynamic transport in fluctuating electronic charge density wave states
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
• Hydrodynamic approach to two-dimensional electron systems
• A Holographic Derivation of the Weak Gravity Conjecture
• Conformal Bootstrap At Large Charge
• Quantum Information in Holographic Duality
• A Practical Mini-Course on Applied Holography
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Charge diffusion and the butterfly effect in striped holographic matter
• How does relativistic kinetic theory remember about initial conditions?
• Doping the holographic Mott insulator
• A strange metal in a bosonic system
• Fast scrambling on sparse graphs
• DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
• Intertwined order and holography: the case of the parity breaking pair density wave
• Diffusivities bounds and chaos in holographic Horndeski theories
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Holographic thermal correlators from supersymmetric instantons
• Non-Boost Invariant Fluid Dynamics
• Kinetic theory of transport for inhomogeneous electron fluids
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Universal relaxation in a holographic metallic density wave phase
• A Tale of Two Metals: contrasting criticalities in the pnictides and hole-doped cuprates
• Sound propagation and quantum limited damping in a two-dimensional Fermi gas
• Electron-phonon hydrodynamics
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Gapless and gapped holographic phonons
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Loop current fluctuations and quantum critical transport
• Hydrodynamic gradient expansion in linear response theory
• Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
• Bad metallic transport in a modified Hubbard model
• Holographic Einstein Ring of a Charged AdS Black Hole
• Vortex motion quantifies strong dissipation in a holographic superfluid
• $Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories
• Origin of the Drude peak and of zero sound in probe brane holography
• Resistivity bound for hydrodynamic bad metals
• Holographic model for the anomalous scalings of the cuprates
• Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
• Topological nodal line semimetals in holography
• Topological invariants for holographic semimetals
• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• A simple holographic model for spontaneous breaking of translational symmetry
• Viscoelastic Dynamics in Holography
• Holographic DC conductivity and Onsager relations
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Holographic Plasmons
• Thickening and sickening the SYK model
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Non-linear elasticity, yielding and entropy in amorphous solids
• Dynamical response near quantum critical points
• Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
• Tidal effects in Schwarzschild black hole in holographic massive gravity
• Pole-skipping and hydrodynamic analysis in Lifshitz, AdS${}_2$ and Rindler geometries
• Incoherent hydrodynamics and density waves
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
• Leading theories of the cuprate superconductivity: a critique
• Non-Relativistic M2-Brane
• Collective diffusion and quantum chaos in holography
• Holographic Bjorken Flow at Large-D
• Emergent entropy production and hydrodynamics in quantum many-body systems
• Solvable model for a charge-$4e$ superconductor
• Upper bound of the charge diffusion constant in holography
• Shear flows in far-from-equilibrium strongly coupled fluids
• Holographic superconductivity from higher derivative theory
• Phase transitions in a holographic multi-Weyl semimetal
• Breakdown of hydrodynamics from holographic pole collision
• Exploring the black hole spectrum of axionic Horndeski theory
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Strongly coupled electron fluids in the Poiseuille regime
• Aspects of Holography of Taub-NUT-AdS4
• Hydrodynamic charge and heat transport on inhomogeneous curved spaces
• Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
• Quantum many-body dynamics on the star graph
• An improved holographic nodal line semimetal
• Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics
• Low-energy modes in anisotropic holographic fluids
• Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime
• Constraints on hydrodynamics from many-body quantum chaos
• Holographic complexity for black branes with momentum relaxation
• Holography of the QGP Reynolds Number
• String Perturbation Theory on the Schwinger-Keldysh Time Contour
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Holographic response from higher derivatives with homogeneous disorder
• Hamiltonian For String in Newton-Cartan Background
• Nambu-Goldstone modes in non-equilibrium systems from AdS/CFT correspondence
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Geodesic string condensation from symmetric tensor gauge theory: a unifying framework of holographic toy models
• AdS Black Holes with a Bouncing Interior
• Diffusivities bounds in the presence of Weyl corrections
• Electrically charged localized structures
• Towards holographic flat bands
• Note on Noether charge and holographic transports
• Breakdown of the Wiedemann-Franz law at the Lifshitz point of strained Sr${}_2$RuO${}_4$
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• Kinetic theory of electronic transport in random magnetic fields
• Entanglement Area Law for Shallow and Deep Quantum Neural Network States
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
• Dynamics of a Vortex Dipole in a Holographic Superfluid
• Density response of holographic metallic IR fixed points with translational pseudo-spontaneous symmetry breaking
• Holographic subdiffusion
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Renormalization group in quantum critical theories with Harris-marginal disorder
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Holographic superconductor induced by charge density waves
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Scalarization-like mechanism through spacetime anisotropic scaling symmetry
• The superconducting dome for holographic doped Mott insulator with hyperscaling violation
• Energy absorption spectroscopy of unitary Fermi gases in a uniform potential
• Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study
• Hydrodynamics of quantum spin liquids
• Aspects of quantum information in finite density field theory
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Hamiltonian Analysis of Non-Relativistic Non-BPS Dp-brane
• Holographic Superfluid Solitons with Backreaction
• Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
• Holographic systems far from equilibrium: a review
• Quantum Chaos for the Unitary Fermi Gas from the Generalized Boltzmann Equations
• Transverse Goldstone mode in holographic fluids with broken translations
• Momentum relaxation in a holographic Weyl semimetal
• Fermionic Open EFT from Holography
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Effective Thermal Physics in Holography: A Brief Review
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• The splitting of electrons and violation of the Luttinger sum rule
• Non-equilibrium dynamics in Holography
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Topological modes in relativistic hydrodynamics
• On magnetic and vortical susceptibilities of the Cooper condensate
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
• Flavours and Infra-red Instability in Holography
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• Diffusion and Butterfly Velocity at Finite Density
• Carroll Limit of Non-BPS Dp-Brane
• Hyperscaling violating geometry with magnetic field and DC conductivity
• The Future of the Correlated Electron Problem
• Mimicking black hole event horizons in atomic and solid-state systems
• Photoemission "experiments" on holographic lattices
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Hyperscaling violating Schrodinger black holes in Einstein-Maxwell-scalar theory
• Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals
• Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• Engineering of Anyons on M5-Probes via Flux Quantization
• Sharp disentanglement in holographic charged local quench
• Holographic derivation of a class of short range correlation functions
• AC conductivities of a holographic Dirac semimetal
• Non-Relativistic BMS algebra
• The instability of $AdS$ black holes with lattices
• Transport properties of DBI action
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• Curved Corner Contribution to the Entanglement Entropy in an Anisotropic Spacetime
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Normal charge densities in quantum critical superfluids
• Spectral weight in holography with momentum relaxation
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region
• Unitarity bound violation in holography and the Instability toward the Charge Density Wave
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination
• Butterflies dragging the jets: on the chaotic nature of holographic QCD
• Thermomagnetic Ettingshausen-Nernst effect in tachocline, magnetic reconnection phenomenon in lower layers, axion mechanism of solar luminosity variations, coronal heating problem solution and mechanism of ADM variations around BH
• Holographic universal relations among transport coefficients
• Evolution and metric signature change of maximally symmetric spaces under the Ricci flow
• Holographic Topological Semimetals
• Entanglement and Excitations in Gauge/Gravity Duality
• Gravitational realization of magnons in a ferromagnetic spin chain
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity
• Winding modes and the reflection symmetry in AdS${}_3$
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder
• A universal holographic prediction for quantum-critical dynamics
• Universal size-dependent nonlinear charge transport in single crystals of the Mott insulator Ca${}_2$RuO${}_4$
• The Higgs mechanism and geometrical flows for two-manifolds