Halide perovskites emerged as a revolutionary family of high-quality
semiconductors for solar energy harvesting and energy-efficient lighting. There
is mounting evidence that the exceptional optoelectronic properties of these
materials could stem from unconventional electron-phonon couplings, and it has
been suggested that the formation of polarons and self-trapped excitons could
be key to understanding such properties. By performing first-principles
simulations with unprecedented detail across the length scales, here we show
that halide perovskites harbor a uniquely rich variety of polaronic species,
including small polarons, large polarons, and charge density waves, and we
explain a variety of experimental observations. We find that these emergent
quasiparticles support topologically nontrivial phonon fields with quantized
topological charge, making them the first non-magnetic analog of the helical
Bloch points found in magnetic skyrmion lattices