부산대학교 도서관

• Rashba spin-orbit coupling plays an important role in the spin and spin-valley Hall effects. • The spin and spin-valley Hall conductivities reveal the distinct topological phases. • Fermi level dramatically modulates the spin and spin-valley Hall conductivities. • Analytical expressions of the spin and spin-valley Hall conductivities are obtained. We study linear response to a longitudinal electric field on an antiferromagnetic honeycomb lattice with intrinsic and Rashba spin-orbit couplings (SOCs). It is found that the spin-valley Hall effect could emerge alone or coexist with the spin Hall effect. The spin and spin-valley Hall conductivities exhibit some peculiarities that depend on the distinct topological states of the graphene lattice. Furthermore, the spin and spin-valley Hall conductivities could be remarkably modulated by changing the Fermi level. Our findings suggest that the antiferromagnetic honeycomb lattice with SOCs is an excellent platform for potential applications of spintronics and valleytronics. [ABSTRACT FROM AUTHOR]