Superconducting charge-ordered states in cuprates

TL;DR

This paper explores charge-ordered states co-existing with superconductivity in cuprates, using an extended large-N mean-field approach to analyze various modulation patterns and compare with experimental STM data.

Contribution

It introduces a comprehensive analysis of charge modulation patterns in cuprates, including checkerboard states, within an extended theoretical framework.

Findings

Checkerboard-modulated superconducting states are energetically favorable at intermediate doping.

Bond-centered stripe states are stable at low doping.

Theoretical Fourier components match STM observations.

Abstract

Motivated by recent neutron scattering and scanning tunneling microscopy (STM) experiments on cuprate superconductors, we discuss charge-ordered states, in particular with two-dimensional charge modulation patterns, co-existing with superconductivity. We extend previous studies of a large-N mean-field formulation of the t-J model. In addition to bond-centered superconducting stripe states at low doping, we find checkerboard-modulated superconducting states which are favorable in an intermediate doping interval. We also analyze the energy dependence of the Fourier component of the local density of states at the ordering wavevector for several possible modulation patterns, and compare with STM results.