Planckian Metal at a Doping-Induced Quantum Critical Point

Abstract

We numerically study a model of interacting spin-$1/2$ electrons with random exchange coupling on a fully connected lattice. This model hosts a quantum critical point separating two distinct metallic phases as a function of doping: a Fermi liquid phase with a large Fermi surface volume and a low-doping phase with local moments ordering into a spin-glass. We show that this quantum critical point has non-Fermi liquid properties characterized by $T$-linear Planckian behavior, $\omega /T$ scaling and slow spin dynamics of the Sachdev-Ye-Kitaev (SYK) type. The $\omega /T$ scaling function associated with the electronic self-energy is found to have an intrinsic particle-hole asymmetry, a hallmark of a `skewed' non-Fermi liquid.

arXiv comment6+11 pages; 4+10 figures; v2. improves data analysis, expands appendix, increases convergence of data, updates all figures

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• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Universal theory of strange metals from spatially random interactions
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• Signature of quantum criticality in cuprates by charge density fluctuations
• Quantum phase transition at non-zero doping in a random $t$-$J$ model
• Critical metallic phase in the overdoped random $t$-$J$ model
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Equilibrium dynamics of infinite-range quantum spin glasses in a field
• Exact numerical solution of the fully-connected classical and quantum Heisenberg spin glass
• Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal
• Frozen spin ratio and the detection of Hund correlations
• Strange metal from spin fluctuations in a cuprate superconductor
• Quasiparticle metamorphosis in the random t-J model
• Orbital selective order and ${\mathbb{Z}}_3$ Potts nematicity from a non-Fermi liquid
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study