# Doping dependence of charge order in electron-doped cuprate superconductors

## TL;DR

This paper investigates the formation of charge order in electron-doped cuprate superconductors using the t-J model, revealing how electron doping influences charge-order wave vectors and Fermi surface topology, aligning with experimental observations.

## Contribution

It provides a theoretical explanation for charge-order formation and its doping dependence in electron-doped cuprates, highlighting differences from hole-doped counterparts.

## Key findings

- Charge-order wave vector increases with electron doping.
- Fermi surface breaks into pockets and arcs due to scattering anisotropy.
- Charge-order correlation linked to Fermi surface instability.

## Abstract

In the recent studies of the unconventional physics in cuprate superconductors, one of the central issues is the interplay between charge order and superconductivity. Here the mechanism of the charge-order formation in the electron-doped cuprate superconductors is investigated based on the t-J model. The experimentally observed momentum dependence of the electron quasiparticle scattering rate is qualitatively reproduced, where the scattering rate is highly anisotropic in momentum space, and is intriguingly related to the charge-order gap. Although the scattering strength appears to be weakest at the hot spots, the scattering in the antinodal region is stronger than that in the nodal region, which leads to the original electron Fermi surface is broken up into the Fermi pockets and their coexistence with the Fermi arcs located around the nodal region. In particular, this electron Fermi surface instability drives the charge-order correlation, with the charge-order wave vector that matches well with the wave vector connecting the hot spots, as the charge-order correlation in the hole-doped counterparts. However, in a striking contrast to the hole-doped case, the charge-order wave vector in the electron-doped side increases in magnitude with the electron doping. The theory also shows the existence of a quantitative link between the single-electron fermiology and the collective response of the electron density.