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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 12: Hydrodynamics
MP 12.2: Vortrag
Donnerstag, 21. März 2024, 15:20–15:40, HL 001
Hydrodynamics of charged two-dimensional Dirac systems: the role of collective modes — •Kitinan Pongsangangan1, Tim Ludwig2, Henk T.C. Stoof2, and Lars Fritz2 — 1Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany — 2Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
We study the hydrodynamic properties of ultraclean interacting two-dimensional Dirac electrons with Keldysh quantum field theory. We demonstrate that long-range Coulomb interactions play two independent roles: (i) they provide the inelastic and momentum-conserving scattering mechanism that leads to fast local equilibration; (ii) they facilitate the emergence of collective excitations, for instance plasmons, that contribute to transport properties on equal footing with electrons. Our approach is based on an effective field theory of the collective field coupled to electrons. Within a conserving approxima- tion for the coupled system we derive a set of coupled quantum-kinetic equations. This builds the foundation of the derivation of the Boltzmann equations for the interacting system of electrons and plasmons. We demonstrate that plasmons show up in thermo-electric transport properties as well as in quantities that enter the energy-momentum tensor, such as the viscosity.
Keywords: Dirac material; Electron hydrodynamics; plasmons; thermoelectric transport; viscosity