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Non-linear Hall effect in multi-Weyl semimetals.

Saswata Roy1, Awadhesh Narayan2

  • 1Undergraduate Programme, Indian Institute of Science, Bangalore 560012, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 12, 2022
PubMed
Summary

Researchers explored the non-linear Hall effect in multi-Weyl semimetals, discovering a significant Berry curvature dipole (BCD) and predicting a third-order Hall signal. This work aids in the experimental discovery of Berry curvature multipole physics.

Keywords:
Berry connection polarizabilityBerry curvature dipoleBerry curvature multipolemulti-Weyl semimetals

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Non-linear Hall effects arise in systems lacking inversion symmetry when time-reversal symmetry is present.
  • Weyl semimetals are promising candidates for observing these Hall signals.

Purpose of the Study:

  • Investigate the Berry curvature-induced second and third-order Hall effects in multi-Weyl semimetals with topological charges n=1, 2, 3.
  • Compare the Berry curvature dipole (BCD) in multi-Weyl semimetals to conventional Weyl semimetals.
  • Explore the BCD in a realistic lattice model and predict third-order Hall signals.

Main Methods:

  • Utilized low-energy effective models to derive general analytical expressions for Hall effects.
  • Studied the Berry curvature dipole (BCD) in a tight-binding lattice model.
  • Derived analytical expressions for the Berry connection polarizability tensor.

Main Results:

  • Discovered a significantly larger Berry curvature dipole (BCD) in multi-Weyl semimetals compared to n=1 Weyl semimetals.
  • Observed distinct variations in BCD with increasing topological charge in a lattice model, linked to different Berry curvature components.
  • Provided experimental signatures for the second harmonic Hall signal and predicted a third-order Hall signal.

Conclusions:

  • Multi-Weyl semimetals exhibit enhanced Berry curvature dipole effects.
  • A third-order Hall signal is predicted in multi-Weyl semimetals.
  • This research provides a roadmap for experimental investigations into Berry curvature multipole physics in these materials.