We theoretically study the effect of electron-electron interactions on metallic state quasicrystals. To address problem, we introduce extended Hubbard model Ammann-Beenker tiling as a simple theoretical model. The is numerically solved within an inhomogeneous mean-field theory. Because lack periodicity, nonuniform in electron density even noninteracting limit. clarify how this charge distributi...

We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a density-density interaction without particle tunneling, and integrating out the metallic environment produces a honeycomb sheet with in-plane oscillating long-ranged int...

Both strengthening and weakening trends with decreasing diameter have been observed for metallic glass nanowires, sometimes even in the samples with the same chemical composition. How to reconcile the results has reminded a puzzle. Since the detailed stress state and microstructure of metallic glass nanowires may differ from each other significantly depending on preparation, to discover the int...