Author:Susumu Matsuo a, Hiroshi Nakano a, Kaichi Saito∗, Masahiro Moria, Tsutomu

Institute: Department of Physics, Comprehensive College, Japan; Department of Applied Physics, School of Engineering, Nagoya University Nagoya, 464-01, Japan

In recent decades, interest in quasicrystals as a new class of matter has increased significantly due to their unique properties, which open up horizons for new technologies. One of the key aspects studied in this area is the theory of weak localization and its impact on Boltzmann conductivity. In the context of a single-grain icosahedral Al-Cu-Fe quasicrystal, it is possible to observe how interactions between electrons and atomic lattices can have a noticeable effect on their transport properties.                                          

Weak localization manifests itself in an increase in resistance at low temperatures, which indicates quantum effects. It is important to note that in quasicrystals, due to their special symmetry and lack of periodicity, the conditions for the implementation of this theory become even more complex and multifaceted. Understanding these processes not only deepens the theoretical foundations of solid state physics, but also opens up new perspectives in materials engineering, where control of electronic properties becomes key to creating high-performance conductors and semiconductors in the future.