Quantized crystalline-electromagnetic responses in insulators

We introduce new classes of gapped topological phases characterized by quantized crystalline-electromagnetic responses, termed \"multipolar Chern insulators\". These systems are characterized by nonsymmorphic momentum-space symmetries and mirror symmetries, leading to quantization of momentum-weighted Berry curvature multipole moments. We construct lattice models for such phases and confirm their quantized responses through numerical calculations. These systems exhibit bound charge and momentum densities at lattice and magnetic defects, and currents induced by electric or time-varying strain fields. Our work extends the classification of topological matter by uncovering novel symmetry-protected topological phases with quantized responses. The data for reproducing the figures in the main text and supplemental material of the article 'Quantized crystalline-electromagnetic responses in insulators.'
, , # Data from: Quantized crystalline-electromagnetic responses in insulators

Dataset DOI: [10.5061/dryad.n02v6wxbd](https://doi.org/10.5061/dryad.n02v6wxbd)

## Description of the data and file structure

This repository contains the numerical data used to reproduce the figures in the associated manuscript.\
All files are provided as plain text (`.txt`) tables. The file names correspond directly to the figure numbers in the main text or the Supplemental Material (SM).

### Files and variables

## File Overview

### **Main Text Figures**

* **fig2d_(main_text).txt**
* File description: Data used to generate **Figure 2d**.
* Figure description: Plot showing the linear response of charge density bound to translation flux for the topological phases (with Berry curvature dipole moment, *D~y~* = π, 2π) and trivial phase (with *D~y~* = 0) in the dipolar Chern insulator model.
* **fig3d_(main_text).txt**
* File description: Data used to generate **Figure 3d**.
* Figure description: Plot ...,