# Evolution of Incommensurate Superstructure and Electronic Structure with Pb Substitution in (Bi$_{2-x}$Pb$_{x}$)Sr$_2$CaCu$_2$O$_{8+\delta}$ Superconductors

## TL;DR

This study systematically investigates how Pb substitution affects the superstructure and electronic properties of Bi2212 superconductors, revealing suppression of superstructure with increased Pb content and photon energy dependence of ARPES features.

## Contribution

First comprehensive analysis of superstructure evolution in Bi2212 with Pb substitution using TEM and ARPES, highlighting control mechanisms for superstructure suppression.

## Key findings

- Superstructure modulation vector decreases with Pb substitution.
- Superstructure intensity diminishes and nearly disappears at x=0.8.
- Superstructure bands depend on laser photon energy, sometimes exceeding main band intensity.

## Abstract

High-quality Bi$_{2-x}$Pb$_{x}$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212) single crystals have been successfully grown by the traveling solvent floating zone technique with a wide range of Pb substitution ($x=0-0.8$). The samples are characterized by transmission electron microscope (TEM) and measured by high resolution laser-based angle-resolved photoemission spectroscopy (ARPES) with different photon energies. A systematic evolution of the electronic structure and superstructure with Pb substitution has been revealed for the first time. The superstructure shows a significant change with Pb substitution and the incommensurate modulation vector ($\textbf{Q}$) decreases with increasing Pb substitution. In the meantime, the superstructure intensity from ARPES measurements also decreases dramatically with increasing Pb concentration. The superstructure in Bi2212 can be effectively suppressed by Pb substitution and it nearly disappears with a Pb substitution of $x=0.8$. We also find that the superstructure bands in ARPES measurements depend sensitively on the photon energy of lasers used; they can become even stronger than the main band when using a laser photon energy of 10.897 eV. These results provide important information on the origin of the incommensurate superstructure and its control and suppression in bismuth-based high temperature superconductors.