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.

A few typos in Supplementary Materials are corrected

References in corpus (14)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Criticality in Heavy Fermion Metals
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• 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
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• 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
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• 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
• A counterexample to the conjectured Planckian bound on transport

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