Quantum corrections to conductivity for semiconductors with various structures: Alavi-Rouhani equation versus Hikami(et.al.,) equation

We study the quantum corrections to the conductivity (magnetoresistance) for semiconductors with various structures at different temperatures. We show that the exact analytical expression derived in our previous paper [1], is in better agreement than the existing equation i.e. Hikami (et.al.,) expression [2], with the experimental data specially in low temperatures. The experimental data of heterostructures including heavily doped strongly disordered heterostructures. On the other hand from theoretical point of view we observe that our equation is also rich because it establishes a strong relationship between quantum corrections to the conductivity and the quantum symmetry Su_q (2). As a result we show that the quantum corrections to the conductivity is the trace of Green function made by generator of Su_q (2) algebra, so the quantum corrections to the conductivity can be express as a sum of an infinite number of Feynman diagrams exactly in the same way as quantum field theory.