Typical Medium Dynamical Cluster Studies of the Role of Spin-Orbit Coupling in 2D Disordered Electronic Systems

Anderson localization, a disorder-induced metal-insulator transition, has been a subject of study for decades. The single-parameter scaling theory predicts that even minimal disorder in low-dimensional electronic systems will localize all electronic states. However, recent research suggests the possibility of an Anderson localization transition in 2D disordered systems with spin-orbit coupling (SOC). In this work, we extend the Typical Medium Dynamical Cluster Approximation (TMDCA) by incorporating Rashba-type SOC to investigate the interplay between disorder, Rashba SOC, and spatial correlations in the context of the Anderson metal-insulator transition in 2D systems. Our findings provide new insights into the combined effects of disorder and SOC, as well as the associated critical phenomena.