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Quantizing viscous transport in bilayer graphene.

Muhammad Imran1,2

  • 1Department of Physics, University of Florida, Gainesville, Florida 32611, United States of America.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 18, 2020
PubMed
Summary
This summary is machine-generated.

We derived the quantized Hall viscosity formula for bilayer graphene, observable in magnetoresistivity. This study explores momentum transport and Shubnikov-de-Haas oscillations in graphene under magnetic fields.

Keywords:
Hall viscosityShubnikov–de-Haas oscillationsmagnetotransport

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Momentum transport in ultraclean bilayer graphene exhibits viscous behavior.
  • In a quantizing magnetic field, momentum current flows through cyclotron orbit guiding centers.

Purpose of the Study:

  • To derive the formula for quantized Hall viscosity in bilayer graphene.
  • To identify experimental detection methods for quantized Hall viscosity.

Main Methods:

  • Theoretical derivation of quantized Hall viscosity formula.
  • Analysis of magnetoresistivity measurements for quantized steps.
  • Investigation of Shubnikov-de-Haas oscillations in longitudinal and Hall viscosities.

Main Results:

  • A formula for quantized Hall viscosity in bilayer graphene was derived.
  • Quantized Hall viscosity can be detected via magnetoresistivity measurements with quantized steps.
  • Shubnikov-de-Haas oscillations appear in both longitudinal and Hall viscosities for weak magnetic fields.

Conclusions:

  • The study provides a theoretical framework for understanding quantized Hall viscosity in bilayer graphene.
  • Experimental verification is possible through magnetoresistivity measurements.
  • Further research can explore the implications of Shubnikov-de-Haas oscillations on transport properties.