Effect of Electron-Electron Interactions on Metallic State in Quasicrystals

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 distribution pattern changes with interactions. find that intersite change substantially and electron-hole asymmetric way. origin these through analyses real perpendicular spaces. Our results offer fundamental basis to understand electronic states quasicrystalline metals.