Hydrodynamic Transport in Near Magic Angle Twisted Bilayer Graphene

POSTER

Abstract

Using the semiclassical quantum Boltzmann theory and employing the Dirac model with twist angle-dependent Fermi velocity we obtain results for the electrical resistivity, the electronic thermal resistivity, the Seebeck coefficient, and the Wiedemann-Franz ratio in near magic angle twisted bilayer graphene, as functions of doping density (around the charge-neutrality-point) and modified Fermi velocity. The Fermi velocity-dependence of the relevant scattering mechanisms, i.e. electron-hole Coulomb, long-ranged impurities, and acoustic gauge phonons is considered in detail. We find a range of twist angles and temperatures, where the combined effect of momentum-non-conserving collisions (long-ranged impurities and phonons) is minimal, opening a window for the observation of strong hydrodynamic transport. Several experimental signatures are identified, such as a sharp dependence of the electric resistivity on doping density and a large enhancement of the Wiedemann-Franz ratio and the Seebeck coefficient.

*This work was supported by the U.S. Department of Energy (Office of Science) under grant No. DE-FG02-05ER46203. The work in Singapore is supported by the National University of Singapore Young Investigator Award (R-607-000-094-133).

Presenters

  • Mohammad Zarenia

    • Univ of Missouri - Columbia

Authors

  • Mohammad Zarenia

    • Univ of Missouri - Columbia
  • Indra Yudhistira

    • Yale-NUS College
  • Shaffique Adam

    • Physics, Yale NUS College
    • National University of Singapore & Yale-NUS College
  • Giovanni Vignale

    • Department of Physics and Astronomy, University of Missouri
    • Department of Physics and Astronomy, Univ of Missouri - Columbia
    • Univ of Missouri - Columbia