A strongly correlated metal built from Sachdev-Ye-Kitaev models

Abstract

Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime pertains in which quasi-particle description fails. Despite the ubiquity of this phenomenology, strong correlations and quantum fluctuations make it challenging to study. The Sachdev-Ye-Kitaev(SYK) model describes a $0+1$D quantum cluster with random all-to-all \emph{four}-fermion interactions among $N$ Fermion modes which becomes exactly solvable as $N\to \infty$, exhibiting a zero-dimensional non-Fermi liquid with emergent conformal symmetry and complete absence of quasi-particles. Here we study a lattice of complex-fermion SYK dots with random inter-site \emph{quadratic} hopping. Combining the imaginary time path integral with \emph{real} time path integral formulation, we obtain a heavy Fermi liquid to incoherent metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. We find linear in temperature resistivity in the incoherent regime, and a Lorentz ratio $L\equiv \frac{\kappa \rho }{T}$ varies between two universal values as a function of temperature. Our work exemplifies an analytically controlled study of a strongly correlated metal.

arXiv comment17 pages, 6 figures

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• Comments on the Sachdev-Ye-Kitaev model
• From AdS/CFT correspondence to hydrodynamics
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Bekenstein-Hawking Entropy and Strange Metals
• Theory of universal incoherent metallic transport
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Non-Fermi liquid regime of a doped Mott insulator
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Emergence of quantum chaos in finite interacting Fermi systems
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Numerical study of fermion and boson models with infinite-range random interactions
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
• Scaling theory of the cuprate strange metals
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• A model for continuous thermal Metal to Insulator Transition
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Dynamical thermalization in isolated quantum dots and black holes
• Marginal Fermi Liquid in a lattice of three-body bound-states

Cited by in corpus (202)

• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Planckian Dissipation in Metals
• An introduction to the SYK model
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Theory of a Planckian metal
• All point correlation functions in SYK
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Thermal diffusivity and chaos in metals without quasiparticles
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Quantum holography in a graphene flake with an irregular boundary
• Accessing scrambling using matrix product operators
• Magnetotransport in a model of a disordered strange metal
• Quantum Entanglement of the Sachdev-Ye-Kitaev Models
• Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Flat space holography and complex SYK
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Lindbladian dissipation of strongly-correlated quantum matter
• Information scrambling in chaotic systems with dissipation
• Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev Model
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Chaos in the butterfly cone
• Transport and chaos in lattice Sachdev-Ye-Kitaev models
• SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Lindbladian dynamics of the Sachdev-Ye-Kitaev model
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• Evaporation dynamics of the Sachdev-Ye-Kitaev model
• Temperature dependence of butterfly effect in a classical many-body system
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Symmetry Breaking in Coupled SYK or Tensor Models
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Coherent superconductivity with large gap ratio from incoherent metals
• Periodically Driven Sachdev-Ye-Kitaev Models
• Interacting Majorana Fermions
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Diffusion in higher dimensional SYK model with complex fermions
• Quantum Phase Transition in the Yukawa-SYK Model
• Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Chaos in a classical limit of the Sachdev-Ye-Kitaev model
• Quantum criticality of granular SYK matter
• Universal subdiffusion in strongly tilted many-body systems
• $T$-linear resistivity in models with local self-energy
• Dynamical quantum phase transitions in SYK Lindbladians
• Bad metallic transport in a modified Hubbard model
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Krylov complexity as an order parameter for quantum chaotic-integrable transitions
• Low-rank Sachdev-Ye-Kitaev models
• Intrinsic superconducting instabilities of a solvable model for an incoherent metal
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• Dirac Fast Scramblers
• Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model
• SYK model with quadratic perturbations: the route to a non-Fermi-liquid
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Topological Sachdev-Ye-Kitaev Model
• Yukawa-SYK model and Self-tuned Quantum Criticality
• Dynamo Effect and Turbulence in Hydrodynamic Weyl Metals
• Quenched vs Annealed: Glassiness from SK to SYK
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• Thermalization of many many-body interacting SYK models
• Thickening and sickening the SYK model
• SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• A candidate Theory for the "Strange Metal" phase at Finite Energy Window
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane
• Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Conformality of $1/N$ corrections in SYK-like models
• On the replica structure of Sachdev-Ye-Kitaev model
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Strongly coupled quantum phonon fluid in a solvable model
• Excitation spectra of quantum matter without quasiparticles II: random $t$-$J$ models
• Strange Metals from Melting Correlated Insulators in Twisted Bilayer Graphene
• Solvable model for a charge-$4e$ superconductor
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
• Deconfined critical point in a doped random quantum Heisenberg magnet
• Krylov Complexity in Mixed Phase Space
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• The shared universality of charged black holes and the many many-body SYK model
• Out-of-time-ordered correlators of the Hubbard model: SYK strange metal in the spin freezing crossover region
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Variational wavefunctions for Sachdev-Ye-Kitaev models
• Superconducting critical temperature in the extended diffusive SYK model
• Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Probing quantum chaos in multipartite systems
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
• Page Curve from Non-Markovianity
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Anomalous thermodynamic properties of quantum critical superconductors
• Pairing Instabilities of the Yukawa-SYK Models with Controlled Fermion Incoherence
• Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
• Superconductor--Insulator Transition in a non-Fermi Liquid
• Thermal effects in non-Fermi liquid superconductivity
• Strongly coupled phonon fluid and Goldstone modes in an anharmonic quantum solid: transport and chaos
• Disconnecting a Traversable Wormhole: Universal Quench Dynamics in Random Spin Models
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Schwarzian correction to quantum correlation in SYK model
• Disordered Lieb-Robinson bounds in one dimension
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Holographic unitary renormalization group for correlated electrons -- II: insights on fermionic criticality
• One SYK SET
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Strange Metal Solution in the Diagrammatic Theory for the $2d$ Hubbard Model
• Many-body energy invariant for $T$-linear resistivity
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Lattice models for Non-Fermi Liquids with Tunable Transport Scalings
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Bad metallic transport in geometrically frustrated models
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• Fingerprints of quantum criticality in locally resolved transport
• A Simple Mechanism for Unconventional Superconductivity in a Repulsive Fermion Model
• Planckian superconductor
• Thermalization of Randomly Coupled SYK Models
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Superconductivity of non-Fermi liquids described by Sachdev-Ye-Kitaev models
• Conductance and thermopower fluctuations in interacting quantum dots
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Dynamics and Charge Fluctuations in Large-q Sachdev-Ye-Kitaev Lattices
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Quantum Chaos of the Bose-Fermi Kondo model at the intermediate temperature
• Hydrodynamic Coulomb drag and bounds on diffusion
• Coulomb drag and heat transfer in strange metals
• Planckian Dissipation and non-Ginzburg-Landau Type Upper Critical Field in Bi2201
• The Future of the Correlated Electron Problem
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Symmetry breaking in zero-field two-dimensional electron bilayers
• SYK does not Transit Gloria Mundi just yet
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Wormhole-induced effective coupling in SYK chains
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Mimicking black hole event horizons in atomic and solid-state systems
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• Fractionalized Fermi liquids and the cuprate phase diagram
• Quantum many-body physics from a gravitational lens
• Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
• An effective framework for strange metallic transport
• Complexity growth rate, grand potential and partition function
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• The chiral SYK model in three-dimensional holography
• Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
• High-frequency transport and zero-sound in an array of SYK quantum dots
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Non-Landau Quantum Phase Transitions and nearly-Marginal non-Fermi Liquid
• Nematic order in topological SYK models
• Information scrambling and butterfly velocity in quantum spin glass chains
• Orbital selective order and ${\mathbb{Z}}_3$ Potts nematicity from a non-Fermi liquid
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
• Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
• From eigenstate thermalization to hydrodynamic transport in correlated metals
• Searching for emergent spacetime in spin glasses
• Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Quasiparticle tunnelling in two coupled chiral SYK model
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Strange metal in the doped Hubbard model via percolation
• Josephson current through the SYK model
• Operator delocalization in disordered spin chains via exact MPO marginals
• Realizing Unitary $k$-designs with a Single Quench