Orbital Hall response of spin-1 fermions with a curved central band
Abstract
We investigate the orbital Hall effect in a three-band system described by a low-energy Hamiltonian containing both linear and quadratic momentum-dependent contributions. The linear term lifts the degeneracy between the dispersive bands, providing a minimal setting to study orbital transport in a multiband system with a curved central band. Within a quantum kinetic approach, we derive the intrinsic orbital Hall response and analyze its microscopic origin in terms of interband coherence induced by an external electric field. We show that the orbital Hall conductivity arises from the interplay between the momentum-dependent orbital character of the eigenstates and transitions between different bands. The spin-1 structure provides a particularly transparent platform in which the contributions associated with different interband channels can be identified separately. We further show that the differential orbital Hall response provides a direct probe of the low-energy structure, exhibiting distinct scaling singularities associated with the linear and quadratic bands, respectively, while remaining independent of the ultraviolet cutoff. Our results establish a connection between the multiband quantum geometry of spin-1 fermions and their transverse orbital response, and provide a simple framework for investigating orbital transport beyond two-band models.
Related
- Parity-Anomalous Hall Response of Chiral Lifshitz Fermions
- Large nonlinear Hall effect in strained moiré structures hosting pseudospin-3/2 fermions
- Orbital Hall conductivity in a d-wave altermagnet: a multi-orbital tight-binding study
- Maximal Orbital Entanglement from Non-Interacting Fermions
- Intrinsic Orbital Hall Effect in Degenerate Spin-3/2 Systems driven by the quantum metric
BibTeX
@misc{warnes2026orbital,
title = {{Orbital Hall response of spin-1 fermions with a curved central band}},
author = {J. H. Warnes and Dayana Joy and Pankaj Bhalla and Rhonald Burgos Atencia},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33211},
eprint = {2610.33211},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33211},
}
RIS
TY - UNPB
TI - Orbital Hall response of spin-1 fermions with a curved central band
AU - J. H. Warnes
AU - Dayana Joy
AU - Pankaj Bhalla
AU - Rhonald Burgos Atencia
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33211
UR - https://arxiv.org/abs/2610.33211
AB - We investigate the orbital Hall effect in a three-band system described by a low-energy Hamiltonian containing both linear and quadratic momentum-dependent contributions. The linear term lifts the degeneracy between the dispersive bands, providing a minimal setting to study orbital transport in a multiband system with a curved central band. Within a quantum kinetic approach, we derive the intrinsic orbital Hall response and analyze its microscopic origin in terms of interband coherence induced by an external electric field. We show that the orbital Hall conductivity arises from the interplay between the momentum-dependent orbital character of the eigenstates and transitions between different bands. The spin-1 structure provides a particularly transparent platform in which the contributions associated with different interband channels can be identified separately. We further show that the differential orbital Hall response provides a direct probe of the low-energy structure, exhibiting distinct scaling singularities associated with the linear and quadratic bands, respectively, while remaining independent of the ultraviolet cutoff. Our results establish a connection between the multiband quantum geometry of spin-1 fermions and their transverse orbital response, and provide a simple framework for investigating orbital transport beyond two-band models.
ER -