The polarization-dependent periodic nanostructures inside various materials are successfully induced by ultrafast laser pulses. The periodic nanostructures in various materials can be empirically classified into the following three types: (1) structural deficiency, (2) expanded structure, (3) partial phase separation. Such periodic nanostructures exhibited not only optical anisotropy but also intriguing electric, thermal, and magnetic properties. The formation mechanisms of the periodic nanostructure was interpreted in terms of the interaction between incident light field and the generated electron plasma. Furthermore, the fact that the periodic nanostructures in semiconductors could be formed empirically only if it is indirect bandgap semiconductor materials indicates the stress-dependence of bandgap structure and/or the recombination of the excited electrons are also involved to the nanostructure formation. More recently we have also confirmed that the periodic nanostructures in glass are related to whether a large amount of non-bridged oxygen is present. In the presentation, we demonstrate new possibilities for functionalization of common materials ranging from an eternal 5D optical storage, a polarization imaging, to a thermoelectric conversion, based on the indicated phenomena.