Nature of carriers in one-dimensional correlated electron systems

TL;DR

This paper investigates the nature of charge carriers in one-dimensional correlated electron systems, revealing boundary effects and proposing a new criterion to distinguish electron-like from hole-like carriers based on boundary behavior.

Contribution

It introduces a novel boundary-based criterion to identify whether carriers are electron-like or hole-like in strongly correlated 1D systems.

Findings

Boundary is electron-attractive near half-filling

Proposed criterion for carrier type based on boundary behavior

Used Bethe ansatz and exact diagonalization methods

Abstract

Electron densities at the edge site in one-dimensional Hubbard model and t-J model are studied by using the Bethe ansatz solutions and exact diagonalization method. It is found that the boundary is electron-attractive, or equivalently hole-repulsive, near half-filling. We propose a new criterion to determine whether the carriers in a strongly correlated system are electron-like or hole-like depending on the electronic behavior at the boundary.