Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model

Abstract

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The Sachdev-Ye-Kitaev model provides a solvable theory of entangled many-particle quantum states without quasiparticle excitations. This article reviews how this toy model has led to realistic universal models of strange metals, and to new insights on the quantum states of black holes.

arXiv comment31 pages, 11 figures; Some of the introductory discussion in this article overlaps with the review in arXiv:2205.02285; companion article on black holes is arXiv:2304.13744

References in corpus (51)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• The Stretched Horizon and Black Hole Complementarity
• Dimensional Reduction in Quantum Gravity
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Black Holes and Random Matrices
• Strange metal in magic-angle graphene with near Planckian dissipation
• Fractionalized Fermi liquids
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Holographic metals and the fractionalized Fermi liquid
• Fermionic Localization of the Schwarzian Theory
• Microscopic Formulation of Black Holes in String Theory
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Non-Fermi liquid regime of a doped Mott insulator
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Gauge-invariant response functions of fermions coupled to a gauge field
• Power-law out of time order correlation functions in the SYK model
• Thermodynamic signatures of quantum criticality in cuprates
• More on Supersymmetric and 2d Analogs of the SYK Model
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Planckian Dissipation in Metals
• Universal theory of strange metals from spatially random interactions
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Large $N$ theory of critical Fermi surfaces
• Topological order in the pseudogap metal
• Fluctuating spin density waves in metals
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Optical response of correlated electron systems
• High Frequency Behavior of the Infrared Conductivity of Cuprates
• Fermi surface transformation at the pseudogap critical point of a cuprate superconductor
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Loop current fluctuations and quantum critical transport
• Higgs criticality in a two-dimensional metal
• A new class of SYK-like models with maximal chaos
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Bekenstein-Hod Universal Bound on Information Emission Rate Is Obeyed by LIGO-Virgo Binary Black Hole Remnants
• Optical conductivity of a two-dimensional metal near a quantum-critical point: the status of the "extended Drude formula"
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Black hole microstate counting from the gravitational path integral
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Revisiting the Logarithmic Corrections to the Black Hole Entropy
• Correlation between phase stiffness and condensation energy across the non-Fermi to Fermi-liquid crossover in the Yukawa-Sachdev-Ye-Kitaev model on a lattice
• BCS to incoherent superconductivity crossovers in the Yukawa-SYK model on a lattice

Cited by in corpus (8)

• Localization of overdamped bosonic modes and transport in strange metals
• Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
• Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
• Fractionalized Fermi liquids and the cuprate phase diagram
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Josephson current through the SYK model
• Thermal decoupling in high-$T_c$ cuprate superconductors