Spin Liquid State around a Doped Hole in Insulating Cuprates

TL;DR

This study uses exact diagonalization to reveal a novel spin liquid state around a doped hole in insulating cuprates, suggesting a connection to the d-wave resonating valence bond state.

Contribution

It identifies a new spin liquid state near a doped hole in the t-J model, highlighting the decoupling of spin and charge degrees of freedom in insulating cuprates.

Findings

Spin liquid state around a doped hole at momentum (pi,0)

Energy of the state is approximately 2J

Implication of d-wave resonating valence bond state in cuprates

Abstract

The numerically exact diagonalization study on small clusters of the t-J model with the second- and third- neighbor hopping terms shows that a novel spin liquid state is realized around a doped hole with momentum k=(pi,0) and energy \sim 2J compared with that with (pi/2,pi/2) in insulating cuprates, where the spin and charge degrees of freedom are approximately decoupled. Our finding implies that the excitations in the insulating cuprates are mapped onto the the d-wave resonating valence bond state.