Temperature dependence of static spin conductivity of gapped graphene

We address temperature dependence of static spin conductivity of gapped graphene for various magnetizations, coulomb repulsion interaction strengths and energy gap parameters. We have used Hubbard model for describing the electron dynamics of the system. Based on linear response theory, we have obtained the spin conductivity of the system using Green's function approach. Our results show the temperature dependence of static spin conductivity has a pick that moves to higher temperatures by increasing the magnetization, strength of coulomb repulsion interaction and energy gap. Furthermore, at fixed temperature, static spin conductivity decreases by increasing mentioned physical parameters.