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Role of band-index-dependent transport relaxation times in anomalous Hall effect

Role of band-index-dependent transport relaxation times in anomalous Hall effect

We revisit model calculations of the anomalous Hall effect (AHE) and show that, in isotropic Rashba-coupled two-dimensional electron gas (2DEG) with pointlike potential impurities, the full solution of the semiclassical Boltzmann equation (SBE) may differ from the widely-used $1/\tau^{||}$ & $1/\tau^{\perp}$ solution [Phys. Rev. B 68, 165311 (2003)]. Our approach …