Characteristics of the localization of massless pseudospin-1 Dirac particles in 2D in a short-range correlated random one-dimensional potential

We study theoretically the characteristics of Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional potential. These potentials include both scalar and vector potentials. Using the invariant imbedding method, we calculate the localization length in a numerically precise manner and derive the analytical expressions for the localization length in strong and weak disorder limits. We investigate the dependencies of the localization length on incident angle, disorder correlation length, disorder strength, energy and average potential for the cases with random scalar and/or vector potentials. Disorder correlations affect the scaling dependencies of the localization length on the disorder strength and the particle energy. We explain these dependencies and the crossovers between different scaling regimes using the analytical formulas.