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The band structures of single-layer MoS$_2$ and WS$_2$ present a couplingbetween spin and valley degrees of freedom that suppresses spin-flip scatteringand spin dephasing. Here we show that out-of-plane deformations, such ascorrugations or ripples, enhance spin-flip scattering in armchair MoS$_2$ andWS$_2$ nanoribbons. Spin transport in the presence of surface roughness issystematically investigated, employing the non-equilibrium Green's functionmethod along with the tight-binding approximation. Both transmission andconductance have been calculated as a function of surface roughness. Ourresults indicate that the spin-flip rate, usually neglected in flat pristinesamples, increases significantly with the surface roughness amplitude. Theseresults are important for the design and fabrication of transition metaldichalcogenides based spintronic devices.

Enhanced Spin-Flip Scattering by Surface Roughness in WS$_2$ and MoS$_2$ Armchair Nanoribbons