Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model

TL;DR

This paper investigates the spectral properties near the Mott transition in the one-dimensional Hubbard model, revealing how quasiparticles and spectral features evolve with doping and interaction strength using advanced numerical and analytical methods.

Contribution

It combines dynamical density-matrix renormalization group and Bethe ansatz to explain spectral features and characterize the Mott transition in one dimension.

Findings

Identification of pseudogap, hole-pocket behavior, and spectral-weight transfer.

Explanation of spectral features in terms of spinons, holons, antiholons, and doublons.

Discovery of a gapless mode with dispersion up to the order of hopping t or spin exchange J.

Abstract

Single-particle spectral properties near the Mott transition in the one-dimensional Hubbard model are investigated by using the dynamical density-matrix renormalization group method and the Bethe ansatz. The pseudogap, hole-pocket behavior, spectral-weight transfer, and upper Hubbard band are explained in terms of spinons, holons, antiholons, and doublons. The Mott transition is characterized by the emergence of a gapless mode whose dispersion relation extends up to the order of hopping t (spin exchange J) in the weak (strong) interaction regime caused by infinitesimal doping.