Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport

Abstract

In this paper we study thermo-electric 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 novel type of hydrodynamics. In that setup, the `fluid' consists of electrons, holes, and plasmons. We study its transport properties, especially the thermo-electric 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 in which we give a detailed derivation of the Boltzmann equations and the encoded conservation laws.

This is part I of two parallel papers

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Cited by in corpus (10)

• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Restoring time-reversal covariance in relaxed hydrodynamics
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Hydrodynamics of a relativistic charged fluid in the presence of a periodically modulated chemical potential
• Application of Madelung Hydrodynamics to Plasmonics and Nonlinear Optics in Two-Dimensional Materials
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• The shear viscosity of interacting graphene
• Hydrodynamics of particle-hole symmetric systems: a quantum Monte Carlo study
• On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems