DOI: 10.5061/dryad.w3r2280xx
title: Data from: Engineering correlated insulators in bilayer graphene with a remote Coulomb superlattice

description: Electron superlattices allow the engineer of correlated and topological
 quantum phenomena. The recent emergence of moiré superlattices in
 two-dimensional (2D) heterostructures has led to exciting quantum
 phenomena discoveries. However, the requirement of the moiré pattern poses
 stringent limitations, and its potential cannot be switched on and off.
 Here, we demonstrate remote engineering and on/off switching of correlated
 states in bilayer graphene. Employing a remote Coulomb superlattice
 realized by localized electrons in a twisted bilayer WS2, we impose a
 Coulomb superlattice in the bilayer graphene with period and strength
 determined by the twisted bilayer WS2. When the remote superlattice is
 turned off, the two-dimensional electron gas (2DEG) in the bilayer
 graphene is described by a Fermi liquid, when it is turned on, correlated
 insulating states at both integer and fractional filling factors emerge.
 This approach enables in-situ control of correlated quantum phenomena in
 2D materials hosting a 2DEG.
description: # Data from: Engineering correlated insulators in bilayer graphene with a
 remote Coulomb superlattice
 [https://doi.org/10.5061/dryad.w3r2280xx](https://doi.org/10.5061/dryad.w3r2280xx) Source data for engineering correlated insulators in bilayer graphene with a remote Coulomb superlattice ## Description of the data and file structure The '`source_data.rar`' archive contains a main folder named '`Raw data`'. Within this main folder, there are several subfolders categorized based on the type of figures they contain: 1. **Main Figures**: Four folders. 2. **Extended Data Figures**: Ten folders. 3. **Supplementary Figures**: Five folders. Each folder is named according to the corresponding figure caption. Below is the details of each folder **Figure 2:**  The data is in Figure 2.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Figure 3:** The data is in Figure 3 a and b.txt and Figure 3 c.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Figure 4:** The data is in Figure4a.txt and Figure4b.txt. In both files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Figure 5:** The data is in Figure5a.txt, Figure5b.txt, Figure5c.txt, and Figure5d.txt. In all the files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Extended Data Fig1:** The data is in Extended Data Fig1.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Extended Data Fig2:** The data is in Extended Data Fig2.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Extended Data Fig3:** The data is in Extended Data Fig3a.txt, Extended Data Fig3b.txt, Extended Data Fig3c.txt, and Extended Data Fig3d.txt. In all the files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Extended Data Fig4:** The data is in two subfolders named as **10 mK** and **18 K**. In 10 mK subfolders, there are three files: 10 mK front.txt, 10 mK left.txt and 10 mK top.txt. In 18 K subfolders, there are three files: 18 K front.txt, 18 K left.txt and 18 K top.txt. In all the files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. The constructed two 3D plot are shown in the two HTML file: 3D*10 mK.html and 3D* \_18K HTML. **Extended Data Fig5:** The data is in Extended Data Fig5.txt. The first column represents the horizontal axis (x-axis). The other columns represent the vertical axis (y-axis). **Extended Data Fig6:** The data is in Extended Data Fig6.txt. The first column represents the horizontal axis (x-axis). The second columns represent the vertical axis (y-axis). It has nice pairs of the columns corresponding to the nice curves in the figure.  **Extended Data Fig7:** The data is in Extended Data Fig7a.txt and Extended Data Fig7b.txt. In both files, the first column represents the horizontal axis (x-axis). The second columns represent the vertical axis (y-axis). It has six pairs of the columns corresponding to the six curves in the figure.  **Extended Data Fig8:** The data is in Extended Data Fig8.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Extended Data Fig9:** The data is in Extended Data Fig9a.txt and Extended Data Fig9b.txt. In both files, the first column represents the horizontal axis (x-axis). The second columns represent the vertical axis (y-axis). It has six pairs of the columns corresponding to the six curves in the figure.  **Extended Data Fig10:** The data is in Extended Data Fig10.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Supplementary Fig S2:** The data is in Supplementary FigS2a.txt and Supplementary FigS2b.txt. In both files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Supplementary Fig S3:** The data is in Supplementary FigS3a.txt and Supplementary FigS3b.txt. In both files, the first column represents the horizontal axis (x-axis). The second columns represent the vertical axis (y-axis). It has sixteen pairs of the columns corresponding to the sixteen curves in each figure.  **Supplementary Fig S4:** The data is in Supplementary FigS4a.txt and Supplementary FigS4b.txt. In both files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Supplementary Fig S5:** The data is in Supplementary FigS5.txt. The first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. **Supplementary Fig S6:** The data is in Supplementary FigS6b.txt, Supplementary FigS6c.txt, Supplementary FigS6e.txt, Supplementary FigS6f.txt. In all the files, the first column and the first row represent the horizontal and vertical axes, respectively. The remaining matrix data represents the color values for the plot. ### Folder Structure and Content Inside each folder, you will find text files corresponding to the subpanels of each figure. For instance, the data file for generating Figure 3c is named `Figure 3c.txt`. ### Data Format The format of the data files depends on the type of plot: * **Line Plots**: * The first column represents the horizontal axis (x-axis). * The other columns represent the vertical axis (y-axis). * **Two-Dimensional Color Plots**: * The first column and the first row represent the horizontal and vertical axes, respectively. * The remaining matrix data represents the color values for the plot. This structured organization ensures that each figure and subpanel can be easily generated using the corresponding data files.