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Condens. Matter 2018, 3(2), 18; https://doi.org/10.3390/condmat3020018

Microscopic Linear Response Theory of Spin Relaxation and Relativistic Transport Phenomena in Graphene

1
Department of Physics, University of York, York YO10 5DD, UK
2
Dipartimento di Matematica e Fisica, Università Roma Tre, 00146 Rome, Italy
*
Authors to whom correspondence should be addressed.
Received: 23 April 2018 / Revised: 17 May 2018 / Accepted: 18 May 2018 / Published: 22 May 2018
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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-Text
Keywords: graphene; spintronics; spin relaxation; 2DEGs; diagrammatic theory; spin-Galvanic effect; spin-orbit coupling graphene; spintronics; spin relaxation; 2DEGs; diagrammatic theory; spin-Galvanic effect; spin-orbit coupling
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Offidani, M.; Raimondi, R.; Ferreira, A. Microscopic Linear Response Theory of Spin Relaxation and Relativistic Transport Phenomena in Graphene. Condens. Matter 2018, 3, 18.

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