Quantum Critical Point revisited by the Dynamical Mean Field Theory

Abstract

Dynamical mean field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self energy and a spin density wave instability at an incommensurate wave vector. The scaling form unifies the low energy kink and the high energy waterfall feature in the spectral function, while the spin dynamics includes both the critical incommensurate and high energy antiferromagnetic paramagnons. We use the frequency dependent four-point correlation function of spin operators to calculate the momentum dependent correction to the electron self energy. Our results reveal a substantial difference with the calculations based on the Spin-Fermion model which indicates that the frequency dependence of the the quasiparitcle-paramagnon vertices is an important factor.

5 pages, 5 figures

References in corpus (25)

• Antiferromagnetic order and spin dynamics in iron-based superconductors
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Correlated electronic structure of LaOFeAs
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Cluster Dynamical Mean Field Theory of the Mott Transition
• What is the valence of a correlated solid? The double life of delta-plutonium
• Exact double-counting in combining the Dynamical Mean Field Theory and the Density Functional Theory
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Kinks in the dispersion of strongly correlated electrons
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Nature of magnetic excitations in superconducting BaFe${}_{1.9}$Ni${}_{0.1}$As${}_2$
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• "Waterfalls" in cuprates
• "Waterfalls" phenomenon in superconducting cuprates
• Testing the itinerancy of spin dynamics in superconducting Bi2212
• High energy kink in the single particle spectra of the two-dimensional Hubbard model
• Calculated Momentum Dependence of Zhang-Rice States in Transition Metal Oxides
• Shining light on transition metal oxides: unveiling the hidden Fermi Liquid
• Spectral properties of the three-dimensional Hubbard model
• Imaging the formation of high-energy dispersion anomalies in the actinide UCoGa${}_5$
• Renormalization Group Study of a Fragile Fermi liquid in $1+\epsilon$ dimensions

Cited by in corpus (7)

• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• The ladder physics in the Spin Fermion model
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Odd frequency pairing in a quantum critical metal