The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group

Abstract

We study the one dimensional t-t'-J model for generic couplings using two complementary theories, the extremely correlated Fermi liquid theory and time-dependent density matrix renormalization group over a broad energy scale. The two methods provide a unique insight into the strong momentum dependence of the self-energy of this prototypical non-Fermi liquid, described at low energies as a Tomonaga-Luttinger liquid. We also demonstrate its intimate relationship to spin-charge separation, i.e. the splitting of Landau quasiparticles of higher dimensions into two constituents, driven by strong quantum fluctuations inherent in one dimension. The momentum distribution function, the spectral function, and the excitation dispersion of these two methods also compare well.

References in corpus (8)

• Real time evolution using the density matrix renormalization group
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Extremely Correlated Fermi Liquids
• 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
• Extremely Correlated Fermi Liquid theory of the $t$-$J$ model in 2 dimensions: Low Energy properties
• 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 (6)

• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Extremely correlated fermi liquid of $t$-$J$ model in two dimensions
• Nonresonant Raman Scattering in Extremely Correlated Fermi Liquids
• Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to $\mathcal{O}({\lambda }^3)$
• Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals