Longitudinal Magnetic Field Effects on Thermal Transport of Doped Bilayer Graphene

We address thermal conductivity of doped biased bilayer graphene for AA-stacking in the context of tight binding model hamiltonian. The effect of magnetic field as its direction is along perpendicular to graphene plane on thermal conductivity has been investigated. Green's function approach has been implemented to find the behavior of thermal conductivity of bilayer graphene within linear response theory. We have found the chemical potential dependence of thermal conductivity for different values of magnetic field and bias voltage. Also a peak in the dependence of thermal conductivity on magnetic field has been observed. Moreover, in the absence of magnetic field, we find a monotonic decreasing behavior for chemical dependence of thermal conductivity. However, a peak appears in chemical potential dependence of thermal conductivity at nonzero magnetic field. Finally, the behavior of Seebeck coefficient in terms of magnetic field and chemical potential has been studied in details.