%0 Journal Article %T Microscopic Linear Response Theory of Spin Relaxation and Relativistic Transport Phenomena in Graphene %A Aires Ferreira %A Manuel Offidani %A Roberto Raimondi %J Condensed Matter | An Open Access Journal from MDPI %D 2018 %R https://doi.org/10.3390/condmat3020018 %X Abstract We present a unified theoretical framework for the study of spin dynamics and relativistic transport phenomena in disordered two-dimensional Dirac systems with pseudospin-spin coupling. The formalism is applied to the paradigmatic case of graphene with uniform Bychkov-Rashba interaction and shown to capture spin relaxation processes and associated charge-to-spin interconversion phenomena in response to generic external perturbations, including spin density fluctuations and electric fields. A controlled diagrammatic evaluation of the generalized spin susceptibility in the diffusive regime of weak spin-orbit interaction allows us to show that the spin and momentum lifetimes satisfy the standard Dyakonov-Perel relation for both weak (Gaussian) and resonant (unitary) nonmagnetic disorder. Finally, we demonstrate that the spin relaxation rate can be derived in the zero-frequency limit by exploiting the SU(2) covariant conservation laws for the spin observables. Our results set the stage for a fully quantum-mechanical description of spin relaxation in both pristine graphene samples with weak spin-orbit fields and in graphene heterostructures with enhanced spin-orbital effects currently attracting much attention. View Full-Tex %K graphene %K spintronics %K spin relaxation %K 2DEGs %K diagrammatic theory %K spin-Galvanic effect %K spin-orbit coupling %U https://www.mdpi.com/2410-3896/3/2/18