Extremely Correlated Fermi Liquid theory of the $t$-$J$ model in 2 dimensions: Low Energy properties

Abstract

Low energy properties of the metallic state of the 2-dimensional tJ model are presented at various densities and temperatures for second neighbor hopping t', with signs that are negative or positive corresponding to hole or electron doping. The calculation employs a closed set of equations for the Greens functions obtained from the extremely correlated Fermi liquid theory. These equations, when used in $d=\infty$ reproduce most of the known low energies features of the $U=\infty$ Hubbard model. In 2-dimensions we are able to study the variations due to the superexchange J. The resulting Dyson self energy is found to be momentum dependent as expected. The density and temperature dependent quasiparticle weight, decay rate and the peak spectral heights over the Brillouin zone are calculated. We also calculate the resistivity, Hall conductivity and cotangent of the Hall angle in experimentally relevant units. These display significant thermal sensitivity for density n >~ 0.8, signifying an effective Fermi-liquid temperature scale which is two or three orders of magnitude below the bare bandwidth. Flipping the sign of the hopping t', i.e. studying hole versus electron doping, is found to induce a change in curvature of the temperature dependent resistivity from convex to concave at low temperatures. Our results provide a natural route for understanding the observed difference in the temperature dependent resistivity of strongly correlated electron-doped and hole-doped matter.

27 pages, 5 figures, Updated on 24 August 2017 with extended discussion and extra figures

References in corpus (8)

• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Extremely Correlated Fermi Liquids
• Hidden Fermi-liquid charge transport in the antiferromagnetic phase of the electron-doped cuprates
• Extremely Correlated Fermi Liquids: The Formalism
• Low energy physics of the t-J model in $d=\infty$ using Extremely Correlated Fermi Liquid theory: Cutoff Second Order Equations
• A Strange Metal from Gutzwiller correlations in infinite dimensions II: Transverse Transport, Optical Response and Rise of Two Relaxation Rates
• Diagrammatic $\lambda$ series for extremely correlated Fermi liquids

Cited by in corpus (10)

• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Extremely correlated fermi liquid of $t$-$J$ model in two dimensions
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• Nonresonant Raman Scattering in Extremely Correlated Fermi Liquids
• Dielectric response of electrons with strong local correlations and long-ranged Coulomb interactions
• Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals
• Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to $\mathcal{O}({\lambda }^3)$
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Extremely Correlated Superconductors