Knight Shift and Nuclear Spin Relaxation Rate in a Charge-Ordered State of the One-Dimensional Extended Hubbard Model at Quarter Filling

TL;DR

This paper studies how charge order affects nuclear magnetic resonance properties in a one-dimensional extended Hubbard model, revealing splitting phenomena consistent with experimental observations.

Contribution

It introduces a theoretical analysis of Knight shift and relaxation rate splitting in a charge-ordered state using RPA around mean-field solutions.

Findings

Splitting of Knight shift and relaxation rate below charge-order transition

Correlation between splitting magnitude and charge disproportionation

Agreement with experimental NMR observations

Abstract

We investigate Knight shift and nuclear spin relaxation rate in a charge ordered state of the one-dimensional extended Hubbard model with a quarter filled band by using RPA around the mean-field solution. It is shown that both quantities show splitting below the critical temperature of the charge order, as is experimentally observed. The relationship between the mount of the splitting in the both quantities and the charge disproportionation rate is discussed.