Spectral function of the spiral spin state in the trestle and ladder Hubbard model

TL;DR

This paper investigates the spectral function of the spiral spin state in the one-dimensional t-t' Hubbard model and two-leg ladder, revealing a spinless-fermion-like behavior of holes in a spiral spin configuration.

Contribution

It provides a detailed analysis of the spectral function and spin correlations, demonstrating a spinless-fermion-like behavior in these models, expanding understanding of electron dynamics in correlated systems.

Findings

Violation of the Luttinger rule in spectral functions.

Identification of spinless-fermion-like behavior of holes.

Spin correlation length matches system size in spiral states.

Abstract

Eder and Ohta have found a violation of the Luttinger rule in the spectral function for the t-t'-J model, which was interpreted as a possible breakdown of the Tomonaga-Luttinger(TL) description in models where electrons can pass each other. Here we have computed the spin correlation along with the spectral function for the one-dimensional t-t' Hubbard model and two-leg Hubbard ladder. By varying the Hubbard U we have identified that such a phenomenon is in fact a spinless-fermion-like behavior of holes moving in a spiral spin configuration that has a spin correlation length of the system size.