We study an electron distribution under a quasiperiodic potential in light of hyperuniformity, aiming to establish classification and analysis method for aperiodic but orderly density distributions realized in, e.g., quasicrystals. Using the Aubry-Andr\'e-Harper model, we first reveal that electron-charge changes its character as increased alters eigenstates from extended localized ones. While ...

S U M M A R Y The delta-correlated assumption of the random medium is of considerable significance in statistical wave propagation problems. Assuming the Rytov and parabolic approximations, this work completed an exact derivation of the transverse coherence functions without using the delta-correlated approximation. The error introduced by this approximation is shown to be negligible when the s...