Dynamical correlations in a Hubbard chain with resonating-valence-bond ground state

TL;DR

This paper investigates the zero-temperature dynamical correlations in a Hubbard chain with a resonating-valence-bond ground state, revealing dispersionless excitations, a spectral gap, and delocalized hole excitations through numerical analysis.

Contribution

It provides the first detailed numerical analysis of spectral densities and excitations in a Hubbard chain with RVB ground state at T=0.

Findings

Spectral densities exhibit dispersionless excitations.

The energy spectrum shows a gap, indicating an insulating state.

Hole excitations are delocalized and dispersive.

Abstract

Dynamical correlation functions for temperature T=0 are calculated for a Hubbard chain with infinite on-site repulsion. This chain contains three sites per unit cell and has a known resonating-valence-bond ground state for a filling of 2 particles per unit cell. A finite system of 24 sites is studied numerically. The recursion method is applied and results for spectral densities are compared to variationally calculated excited-state eigenvalues. Charge and spin degrees of freedom located at the backbone sites are considered. The spectral densities show dispersionless excitations. The energy spectrum displays a gap indicating an insulating ground state. Spectral functions for the propagation of a single hole in a resonating-valence-bond background are provided and indicate delocalized dispersive hole excitations.