Dataset DOI: 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 showing the linear response of the momentum polarization to the lattice shear for the topological phase (Q_xy = 2π²) and trivial phase (Q_xy = 0) in the quadrupolar Chern insulator model.

Supplemental Material Figures

• figS2a_(SM).txt
  • File description*:* Data used to generate Figure S2a.
  • Figure description*:*  Energy dispersion for the dipolar Chern insulator model with mass term, M = 2, and open boundary conditions along x, showing the presence of bidirectional edge states. 
• figS2b_(SM).txt
  • File description*:* Data used to generate Figure S2b.
  • Figure description*:* Energy dispersion for the quadrupolar Chern insulator model with mass term, M = 1, and open boundary conditions along x, showing the presence of bidirectional edge states.
• figS3a_M_0_(SM).txt, figS3a_M_2_(SM).txt, figS3a_M_4_(SM).txt
  • File description*:* Data for Figure S3a for M = 0, 2, 4.
  • Figure description*:* Effect of hopping disorder on the quantization of responses in the dipolar Chern insulator model for phases obtained at various values of the mass term, M = 0, 2, 4.
• figS3b_M_0_(SM).txt, figS3b_M_2_(SM).txt, figS3b_M_4_(SM).txt
  • File description*:* Data for Figure S3b for M = 0, 2, 4.
  • Figure description*:* Effect of strain disorder on the quantization of responses in the dipolar Chern insulator model for phases obtained at various values of the mass term, M = 0, 2, 4.
• figS4a_(SM).txt
  • File description: Data used to generate Figure S4a.
  • Figure description*:* Effects of symmetry breaking on the quantization of Q_ij.
• figS4b_(SM).txt
  • File description: Data used to generate Figure S4b.
  • Figure description*:* Effects of symmetry breaking on the quantization of Q_ij.
• figS5a_(SM).txt
  • File description: Data used to generate Figure S5a.
  • Figure description*:* Effects of symmetry breaking on the quantization of D_i.
• figS5b_(SM).txt
  • File description: Data used to generate Figure S5b.
  • Figure description*:* Effects of symmetry breaking on the quantization of D_i.