  Ferroelectricity, band topology, and superconductivity are respectively
local, global, and macroscopic properties of quantum materials, and
understanding their mutual couplings offers unique opportunities for exploring
rich physics and enhanced functionalities. In this mini-review, we attempt to
highlight some of the latest advances in this vibrant area, focusing in
particular on ferroelectricity-tuned superconductivity and band topology in
two-dimensional (2D) materials and related heterostructures. We will first
present results from predictive studies of the delicate couplings between
ferroelectricity and topology or superconductivity based on first-principles
calculations and phenomenological modeling, with ferroelectricity-enabled
topological superconductivity as an appealing objective. Next, we will cover
the latest advances on experimental studies of ferroelectricity-tuned
superconductivity based on different 2D materials or van der Waals
heterostructures. Finally, as perspectives, we will outline schemes that may
allow to materialize new types of 2D systems that simultaneously harbor
ferroelectricity and superconductivity, or that may lead to enhanced
ferroelectric superconductivity, ferroelectric topological superconductivity,
and new types of superconducting devices such as superconducting diodes.
