We develop a systematic typical medium dynamical cluster approximation that provides a proper description of the Anderson localization transition in three dimensions (3D). Our method successfully captures the localization phenomenon both in the low and large disorder regimes, and allows us to study the localization in different momenta cells, which renders the discovery that the Anderson localization transition occurs in a cell-selective fashion. As a function of cluster size, our method systematically recovers the reentrance behavior of the mobility edge and obtains the correct critical disorder strength for Anderson localization in 3D. © 2014 American Physical Society.
Publication Source (Journal or Book title)
Physical Review B - Condensed Matter and Materials Physics
Ekuma, C., Terletska, H., Tam, K., Meng, Z., Moreno, J., & Jarrell, M. (2014). Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions. Physical Review B - Condensed Matter and Materials Physics, 89 (8) https://doi.org/10.1103/PhysRevB.89.081107