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

TL;DR

This paper investigates the one-dimensional t-t'-J model using two advanced methods, revealing strong momentum-dependent self-energy and spin-charge separation, and demonstrating their consistency across different energy scales.

Contribution

It combines extremely correlated Fermi liquid theory and time-dependent DMRG to analyze the t-t'-J model, providing new insights into non-Fermi liquid behavior and spin-charge separation in one dimension.

Findings

Strong momentum dependence of self-energy observed

Spin-charge separation confirmed and characterized

Spectral functions and dispersion show good agreement between methods

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.