Spin Hall effect in graphene due to random Rashba field

Dyrdał, A.; Barnaś, J.

doi:10.1103/physrevb.86.161401

Cited by 13 publications

(2 citation statements)

References 25 publications

(26 reference statements)

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“…2. The resummation of the Born ladder series yields the commonly employed approximation to the QSJ [39,[42][43][44][45]. However, by keeping the full T -matrix structure one effectively resums all topologically equivalent, two-particle noncrossing diagrams at all orders in V .…”

Section: Methodsmentioning

confidence: 99%

Quantum diagrammatic theory of the extrinsic spin Hall effect in graphene

Milletarì

Ferreira

2016

Phys. Rev. B

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We present a rigorous microscopic theory of the extrinsic spin Hall effect in disordered graphene based on a nonperturbative quantum diagrammatic treatment incorporating skew scattering and anomalous (impurityconcentration-independent) quantum corrections on equal footing. The leading skew-scattering contribution to the spin Hall conductivity is shown to quantitatively agree with Boltzmann transport theory over a wide range of parameters. Our self-consistent approach, where all topologically equivalent noncrossing diagrams are resummed, unveils that the skewness generated by spin-orbit-active impurities deeply influences the anomalous component of the spin Hall conductivity, even in the weak-scattering regime. This seemingly counterintuitive result is explained by the rich sublattice structure of scattering potentials in graphene, for which traditional Gaussian disorder approximations fail to capture the intricate correlations between skew scattering and side jumps generated through diffusion. Finally, we assess the role of quantum interference corrections by evaluating an important subclass of crossing diagrams recently considered in the context of the anomalous Hall effect, the X and diagrams [A. Ado et al., Europhys. Lett. 111, 37004 (2015)]. We show that diagrams, encoding quantum coherent skew scattering, display a strong Fermi energy dependence, dominating the anomalous spin Hall component away from the Dirac point. Our findings have direct implications for nonlocal transport experiments in spin-orbit-coupled graphene systems.

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