  Emerging multiphysics metamaterials offer a distinct possibility for
regulating complex physical processes. However, two severe constraints still
lower their functionality and tunability. First, multiphysics functionality is
fixed once structures and materials are prepared, i.e., one functionality for
one physical field. Second, continuous tunability is unavailable in
multiphysics fields because parameters are hard to change on demand. Here, we
propose the concept of spatiotemporal multiphysics metamaterials by delicately
considering the temporal dimension. The spatiotemporal feature leads to
multiple functions for each physical field and their continuous switching. We
achieve flexible thermal and electric function switching between cloaking,
sensing, and concentrating based on rotatable checkerboard structures with
different rotation times, material composition, and geometric shapes. Real-time
thermal and electric functions are theoretically predicted and confirmed by
simulations. These results provide a promising spatiotemporal platform for
realizing adaptive and intelligent multiphysics field manipulation.
