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Three methods for anomalous Hall response yield different nonlinear transport results due to intrinsic anomalous distribution (IAD). Incorporating IAD is crucial for accurate intrinsic current definitions and physical consistency.

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Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Quantum transport

Background:

  • The anomalous Hall effect (AHE) describes a transverse voltage in response to a longitudinal current.
  • Linear AHE measurements are standard, but intrinsic nonlinear transport phenomena are less understood.
  • Existing theoretical frameworks for intrinsic AHE may not fully capture nonlinear effects.

Purpose of the Study:

  • To investigate the discrepancies in intrinsic nonlinear transport calculations arising from different linear AHE definitions.
  • To introduce and analyze the concept of intrinsic anomalous distribution (IAD) in nonlinear transport.
  • To establish the necessity of IAD for consistent theoretical descriptions and experimental predictions.

Main Methods:

  • Theoretical analysis of intrinsic nonlinear transport coefficients.
  • Derivation of the intrinsic anomalous distribution (IAD) from nonlinear scattering effects.
  • Comparison of different theoretical approaches for intrinsic current definition.

Main Results:

  • Three common methods for linear AHE yield differing results for intrinsic nonlinear transport.
  • Intrinsic anomalous distribution (IAD) arises from nonlinear field effects during scattering.
  • IAD is independent of scattering details and crucial for defining experimentally detectable intrinsic current.

Conclusions:

  • The definition of intrinsic current must include IAD for experimental relevance and theoretical consistency.
  • IAD is essential for upholding fundamental physical relations in nonlinear transport.
  • Distinct frequency dependencies are predicted for rectified and double-frequency AC responses, with potential observation in antiferromagnetic CuMnAs.