Theory of the effective Seebeck coefficient for photoexcited two-dimensional materials: Graphene

Thermoelectric phenomena in photoexcited graphene have been the topic of several theoretical and experimental studies because their potential usefulness optoelectronic applications. However, available descriptions thermoelectric effect terms Seebeck coefficient do not take into account role electron density. In this work, we adopt concept effective [G.D. Mahan, J. Appl. Phys. 87, 7326 (2000)] extend it to case a two-dimensional (2D) gas. We calculate for graphene, compare commonly used "phenomenological" coefficient, show how depends on density temperature. Our results are necessary inputs any quantitative microscopic theory effects related 2D materials.