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Third-order nonlinear Hall effect in a quantum Hall system.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Perpendicular magnetic fields in 2D systems create quantum Hall effects with quantized Hall resistance.
  • The quantum Hall effect is defined by zero longitudinal resistance and quantized Hall resistance plateaus.

Purpose of the Study:

  • To investigate the nonlinear electrical response of monolayer graphene in a quantum Hall state.
  • To characterize a novel third-order Hall effect in this regime.

Main Methods:

  • Tuning monolayer graphene to a quantum Hall state.
  • Measuring longitudinal and Hall resistance under varying probe currents.
  • Analyzing the nonlinear voltage response as a function of probe current.

Main Results:

  • Observed a third-order Hall effect with a nonzero voltage plateau scaling cubically with probe current.
  • Found the third-order longitudinal voltage remained zero.
  • The nonlinear response was robust against changes in magnetic field and temperature, and across different device configurations.

Conclusions:

  • The study identifies a third-order nonlinear response in the quantum Hall state of graphene.
  • Electron-electron interactions between quantum Hall edge states are proposed as the mechanism for this nonlinear behavior.