Charge Ordered RVB States in the Doped Cuprates

TL;DR

This paper investigates charge ordered d-wave RVB states in doped cuprates, estimating their energies within a generalized t-J model, and discusses their potential link to observed checkerboard patterns in high-temperature superconductors.

Contribution

It introduces a renormalized mean field approach to analyze charge ordered RVB states and explores their relevance to experimental observations in cuprates.

Findings

Charge order modulates charge density favoring RVB states.

Long-range Coulomb interactions influence charge ordering.

Possible connection to observed checkerboard patterns in tunneling conductance.

Abstract

We study charge ordered d-wave resonating valence bond states (dRVB) in the doped cuprates, and estimate the energies of these states in a generalized $t-J $ model by using a renormalized mean field theory. The long range Coulomb potential tends to modulate the charge density in favor of the charge ordered RVB state. The possible relevance to the recently observed $4 \times 4$ checkerboard patterns in tunnelling conductance in high $T_c$ cuprates is discussed.