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Using a semiclassical Boltzmann transport equation (BTE) approach, we deriveanalytical expressions for electric and thermoelectric transport coefficientsof graphene in the presence and absence of a magnetic field. Scattering due toacoustic phonons, charged impurities and vacancies are considered in the model.Seebeck ($S_{xx}$) and Nernst ($N$) coefficients have been evaluated asfunctions of carrier density, temperature, scatterer concentration, magneticfield and induced band gap, and the results are compared with experimentaldata. $S_{xx}$ is an odd function of Fermi energy while $N$ is an evenfunction, as observed in experiments. The peaks of both coefficients are foundto increase with decreasing scatterer concentration and increasing temperature.Furthermore, opening a band gap decreases $N$ but increases $S_{xx}$. Applyinga magnetic field introduces an asymmetry in the variation of $S_{xx}$ withFermi energy across the Dirac point. The formalism is more accurate andcomputationally efficient than the conventional Green's function approach usedto model transport coefficients and can be used to explore transport propertiesof other exotic materials.

Magnetothermoelectric effects in graphene and their dependence on scatterer concentration, magnetic field and band gap