Data from: 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.'