Hydrodynamics of charged two-dimensional Dirac systems. I. Thermoelectric transport

In this paper we study thermoelectric transport in interacting two-dimensional Dirac-type systems using a phenomenological Boltzmann approach. We consider a setup that can accommodate electrons, holes, and collective modes. In the first part of the paper we consider the electron-hole hydrodynamics, a model that is popular in the context of graphene, and its transport properties. In a second part, we propose a unique type of hydrodynamics. In that setup, the "fluid" consists of electrons, holes, and plasmons. We study its transport properties, especially the thermoelectric behavior. The results of this part can also be adapted to the study of a fluid consisting of electrons and phonons. This paper is accompanied by a technical paper [K. Pongsangangan et al., Phys. Rev. B 106, 205127 (2022)], in which we give a detailed derivation of the Boltzmann equations and the encoded conservation laws.