Wigner distribution, Wigner entropy, and anomalous transport of a generalized Aubry-André model
Phys. Rev. B 112, 174206 – Published 19 November, 2025
DOI: https://doi.org/10.1103/w5vn-ldkm
Abstract
We investigate generalized Aubry-André models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size scaling analysis. Numerical results demonstrate that extended, critical, and localized states can be distinguished via their phase-space representations, particularly the Wigner distribution. The associated Wigner entropy, derived from this distribution, peaks at the critical state, enabling precise localization of the mobility edge. Additionally, wave-packet dynamics reveal anomalous transport behaviors, including superdiffusion and subdiffusion, bridging ballistic transport and the absence of diffusion.
