Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model

Abstract

Understanding electronic properties that violate the Landau Fermi liquid paradigm in cuprate superconductors remains a major challenge in condensed matter physics. The strange metal state in overdoped cuprates that exhibits linear-in-temperature scattering rate and dc resistivity is a particularly puzzling example. Here, we compute the electronic scattering rate in the two-dimensional Hubbard model using cluster generalization of dynamical mean-field theory. We present a global phase diagram documenting an apparent non-Fermi liquid phase, in between the pseudogap and Fermi liquid phase in the doped Mott insulator regime. We discover that in this non-Fermi liquid phase, the electronic scattering rate ${\gamma }_k(T)$ can display linear temperature dependence as temperature $T$ goes to zero. In the temperature range that we can access, the $T-$ dependent scattering rate is isotropic on the Fermi surface, in agreement with recent experiments. Using fluctuation diagnostic techniques, we identify antiferromagnetic fluctuations as the physical origin of the $T-$ linear electronic scattering rate.

arXiv commentA few typos in Supplementary Materials are corrected

References in corpus (55)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Criticality in Heavy Fermion Metals
• Quantum Cluster Theories
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Onset of antiferromagnetism in heavy fermion metals
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Saturation of electrical resistivity
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Non-Fermi liquid regime of a doped Mott insulator
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Linear in Temperature Resistivity and Associated Mysteries
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Strange metal behavior in a pure ferromagnetic Kondo lattice
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Theory of a Planckian metal
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Strange metallicity in the doped Hubbard model
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Incoherent transport across the strange metal regime of highly overdoped cuprates
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Universal scaling of the critical temperature and the strange-metal scattering rate in unconventional superconductors
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• Dispersive spin excitations in highly overdoped cuprates revealed by resonant inelastic x-ray scattering
• Pseudogap temperature as a Widom line in doped Mott insulators
• Momentum anisotropy of the scattering rate in cuprate superconductors
• Hidden Fermi Liquid, Scattering Rate Saturation and Nernst Effect: a DMFT Perspective
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• An organizing principle for two-dimensional strongly correlated superconductivity
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Transport and Optical Conductivity in the Hubbard Model: A High-Temperature Expansion Perspective
• $T$-linear resistivity in models with local self-energy
• Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
• How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Dynamical Charge Susceptibility in the Hubbard Model
• Pseudogap, van Hove Singularity, Maximum in Entropy and Specific Heat for Hole-Doped Mott Insulators
• A counterexample to the conjectured Planckian bound on transport
• Planckian relaxation delusion in metals
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory

Cited by in corpus (6)

• Signature of quantum criticality in cuprates by charge density fluctuations
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to $\mathcal{O}({\lambda }^3)$
• Stranger than Metals