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Quantum Correction to the Orbital Hall Effect.

Hong Liu1,2, James H Cullen1, Daniel P Arovas3

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This study fully evaluates the orbital Hall effect (OHE), including challenging intraband elements. Quantum corrections from operator noncommutativity and orbital angular momentum dominate OHE in topological antiferromagnets and Dirac fermions.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics

Background:

  • Previous evaluations of the orbital Hall effect (OHE) focused solely on interband matrix elements of the position operator.
  • The inclusion of intraband matrix elements presents significant technical challenges.

Purpose of the Study:

  • To conduct a comprehensive evaluation of the OHE by incorporating all position operator matrix elements, including intraband contributions.
  • To investigate the impact of quantum corrections on OHE responses.

Main Methods:

  • Full evaluation of the orbital Hall effect (OHE) using all matrix elements of the position operator.
  • Inclusion of technically challenging intraband elements.
  • Analysis of quantum corrections arising from operator noncommutativity and orbital angular momentum.

Main Results:

  • The study successfully recovers previous OHE results.
  • New quantum corrections were identified, stemming from the noncommutativity of position and velocity operators.
  • Interband matrix elements of orbital angular momentum were found to contribute to the OHE.
  • These quantum corrections were observed to dominate the OHE responses in specific materials.

Conclusions:

  • A more complete theoretical framework for the OHE has been established by including all matrix elements.
  • Quantum corrections significantly influence the OHE, particularly in systems like topological antiferromagnets and massive Dirac fermions.
  • The findings highlight the importance of considering intraband contributions and operator noncommutativity for accurate OHE predictions.