▎ 摘 要
The spin thermoelectric properties of a zigzag edged ferromagnetic (FM) graphene nanoribbon are studied theoretically by using the non-equilibrium Green's function method combined with the Landauer-Buttiker formula. By applying a temperature gradient along the ribbon, under closed boundary conditions, there is a spin voltage Delta V-s inside the terminal as the response to the temperature difference Delta T between two terminals. Meanwhile, the heat current Delta Q is accompanied from the 'hot' terminal to the 'cold' terminal. The spin thermopower S = Delta V-s/Delta T and thermoconductance kappa = Delta Q/Delta T are obtained. When there is no magnetic field, S versus E-R curves show peaks and valleys as a result of band selective transmission and Klein tunneling with E-R being the on-site energy of the right terminal. The results are in agreement with the semi-classical Mott relation. When vertical bar E-R vertical bar < M (M is the FM exchange split energy), kappa is infinitesimal because tunneling is prohibited by the band selective rule. While vertical bar E-R vertical bar > M, the quantized value of kappa = pi(2)k(B)(2)T/3h appears. In the quantum Hall regime, because Klein tunneling is suppressed, S peaks are eliminated and the quantized value of kappa is much clearer. We also investigate how the thermoelectric properties are affected by temperature, FM exchange split energy and Anderson disorder. The results indicate that S and kappa are sensitive to disorder. S is suppressed for even small disorder strengths. For small disorder strengths, kappa is enhanced and for moderate disorder strengths, kappa shows quantized values.