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PreprintCC BY 4.0arXiv

Orbital Hall effect from the Wannier function approach

  • Tapesh Gautam
  • S. Satpathy
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Abstract

Using the Wannier function approach, we develop a gauge-covariant formalism for the orbital angular momentum (OAM) operator and the orbital Hall conductivity (OHC). The Wannier function formulation resolves the position-operator ambiguity inherent to Bloch states, providing a transparent and rigorous theory of orbital transport. Our formalism is validated through a finite-lattice calculation of the Haldane model, where the OAM operator is evaluated exactly from its real-space definition. Our results are also relevant to other orbital phenomena in solids such as the orbital Edelstein effect, orbital torque generation, and the like, where the OAM plays a crucial role.

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Cite

BibTeXRIS
BibTeX
@misc{gautam2026orbital,
  title = {{Orbital Hall effect from the Wannier function approach}},
  author = {Tapesh Gautam and S. Satpathy},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04188},
  eprint = {2611.04188},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04188},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Orbital Hall effect from the Wannier function approach
AU  - Tapesh Gautam
AU  - S. Satpathy
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04188
UR  - https://arxiv.org/abs/2611.04188
AB  - Using the Wannier function approach, we develop a gauge-covariant formalism for the orbital angular momentum (OAM) operator and the orbital Hall conductivity (OHC). The Wannier function formulation resolves the position-operator ambiguity inherent to Bloch states, providing a transparent and rigorous theory of orbital transport. Our formalism is validated through a finite-lattice calculation of the Haldane model, where the OAM operator is evaluated exactly from its real-space definition. Our results are also relevant to other orbital phenomena in solids such as the orbital Edelstein effect, orbital torque generation, and the like, where the OAM plays a crucial role.
ER  -