Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices

摘要: We use a transfer-matrix method to study the disorder-induced metal-insulator transition. take isotropic nearest-neighbor hopping and an onsite potential with uniformly distributed disorder. Following previous work done on simple-cubic lattice, we perform numerical calculations for body-centered cubic face-centered lattices, which are more common in nature. obtain localization length from calculated Lyapunov exponents different system sizes. This data is analyzed using finite-size scaling find critical parameters. create energy-disorder phase diagram both lattice types, noting that it symmetric about band center but not lattice. exponent of approximately 1.5-1.6 types transitions occurring either at fixed energy or disorder, agreeing results previously obtained other systems belonging same orthogonal universality class. notice increase disorder number nearest neighbors, agrees intuition.