TY - JOUR
T1 - Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials
AU - Wang , Ting
AU - Zhou , Yuzhi
AU - Zhou , Aihui
JO - Communications in Computational Physics
VL - 4
SP - 1029
EP - 1044
PY - 2024
DA - 2024/05
SN - 35
DO - http://doi.org/10.4208/cicp.OA-2023-0203
UR - https://global-sci.org/intro/article_detail/cicp/23093.html
KW - Incommensurate systems, localization, effective potential, plane wave method.
AB - <p style="text-align: justify;">In this paper, we apply the effective potentials in the localization landscape
theory (Filoche et al., 2012, Arnold et al., 2016) to study the spectral properties of the
incommensurate systems. We uniquely develop a plane wave framework for the effective potentials of the incommensurate systems. And utilizing the effective potentials
represented by the plane wave, the location of the electron density can be inferred.
Moreover, the spectral distribution can be obtained from the effective potential version
of Weyl’s law. We perform some numerical experiments on some typical incommensurate systems, showing that the effective potential provides an alternative tool for
investigating the localization and spectral properties of the incommensurate systems,
without solving the eigenvalue problem explicitly.</p>