  Recent theoretical and experimental progress on the study of ferrotoroidic
materials is reviewed. The basic field equations are first described and then
the expressions for magnetic toroidal moment and toroidization are derived.
Relevant materials and experimental observation of magnetic toroidal moment and
toroidal domains are summarized next. The thermodynamics of such magnetic
materials is discussed in detail with examples of ferrorotoidic phase
transition studied using Landau modelling. Specifically, an example of
application of Landau modelling to the study of toroidocaloric effect is also
provided. Recent results of polar nanostructures with electrical toroidal
moment are finally reviewed.
