Most metals exist in form of polycrystalline states consisting of crystalline grains and grain boundaries. These structurally defective boundaries make the materials thermodynamically unstable. Upon heating or straining, polycrystalline metals tend to be stabilized by eliminating grain boundaries through grain coarsening or transforming into metastable glassy phases when the grains are very small. Recently, we found a different metastable structure in polycrystalline face-centered-cubic pure metals and alloys as their grains are refined to a few nanometers with cryogenic high-pressure torsion. In this structure, named as ''Schwarz crystal'', the grain boundary networks evolved into the 3D periodical minimal surface structures constrained with high density twin-boundaries. It is thermally so stable that grain coarsening is inhibited at temperatures around the melting point, and exhibits a strength close to the theoretical value. Diffusional processes in alloys like precipitation of intermetallic phase, spinodal decomposition, as well as melting are inhibited with the Schwarz crystal structure. This paper briefly reviews the discovery of this novel metastable structure. The precursory process (grain boundary relaxation) in nanograined metals, formation and structure characteristics of the Schwarz crystals, as well as their thermal stability and strength in different metals and alloys will be introduced with experimental and molecular dynamic simulations. Perspectives and future studies on the structure will be discussed.