A critical strange metal from fluctuating gauge fields in a solvable random model

Abstract

Building upon techniques employed in the construction of the Sachdev-Ye-Kitaev (SYK) model, which is a solvable $0+1$ dimensional model of a non-Fermi liquid, we develop a solvable, infinite-ranged random-hopping model of fermions coupled to fluctuating U(1) gauge fields. In a specific large-$N$ limit, our model realizes a gapless non-Fermi liquid phase, which combines the effects of hopping and interaction terms. We derive the thermodynamic properties of the non-Fermi liquid phase realized by this model, and the charge transport properties of an infinite-dimensional version with spatial structure.

18 pages + references, 6 figures

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• Quantum chaos on a critical Fermi surface
• Algebraic charge liquids
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Cited by in corpus (36)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Universal theory of strange metals from spatially random interactions
• Large $N$ theory of critical Fermi surfaces
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Symmetry Breaking in Coupled SYK or Tensor Models
• Pair density wave order from electron repulsion
• Low-rank Sachdev-Ye-Kitaev models
• Dirac Fast Scramblers
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Diffusion from Convection
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Hagedorn Temperature in Large $N$ Majorana Quantum Mechanics
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Fluctuation Spectrum of Critical Fermi Surfaces
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Lattice models for Non-Fermi Liquids with Tunable Transport Scalings
• Is the optical conductivity of heavy fermion strange metals Planckian?
• Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• SYK does not Transit Gloria Mundi just yet
• Fractionalized Fermi liquids and the cuprate phase diagram
• Effects of general non-magnetic quenched disorder on a spin-density-wave quantum critical metallic system in two spatial dimension
• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
• Interaction-mitigated Landau damping
• Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
• Statistic physics in bound state in 3D fermi gas system
• Current Algebra Approach to 2d Chiral Metals
• Non-Landau Quantum Phase Transitions and nearly-Marginal non-Fermi Liquid
• Electronic properties of the boson mode in a three-point fermion loop and the emergent SYK physics
• From eigenstate thermalization to hydrodynamic transport in correlated metals