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Weyl semimetals exhibit anomalous Hall conductivity from Weyl nodes. Free carriers add to this response, offering a new way to characterize material doping using resonant features in conductivity measurements.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Weyl semimetals possess unique electronic properties due to broken time-reversal symmetry.
  • Anomalous Hall conductivity (AHC) in these materials is typically linked to Weyl node positions.
  • The influence of intrinsic free carriers on AHC in undoped Weyl semimetals remains less understood.

Purpose of the Study:

  • To investigate the contribution of free carriers to the ac anomalous Hall conductivity (σxy(ω)) in Weyl semimetals.
  • To develop a microscopic theory for the free carrier contribution to σxy(ω).
  • To identify experimental signatures for distinguishing free carrier effects from intrinsic AHC.

Main Methods:

  • Theoretical study of the ac anomalous Hall conductivity (σxy(ω)).
  • Development of a microscopic theory for free carrier contributions.
  • Analysis of parameters including electron velocity matrix, Fermi energy (μ), and Weyl cone tilt.

Main Results:

  • Free carriers provide an additional contribution to the ac anomalous Hall conductivity beyond the universal response from Weyl nodes.
  • The free carrier contribution is described by a theory dependent on electron velocity, Fermi energy, and Weyl cone tilt.
  • Resonant features in σxy(ω) at frequencies around ω∼2μ are predicted, linked to the Fermi energy.

Conclusions:

  • The study elucidates the physical mechanism behind the free carrier contribution to ac Hall conductivity in Weyl semimetals.
  • Predicted resonant features can be experimentally observed (e.g., via Kerr effect measurements) to separate carrier and band contributions.
  • This provides a diagnostic tool for characterizing the doping of individual valleys in Weyl semimetals.