Beyond-RTA magnetoconductivity of multifold semimetals under generic orientations of electromagnetic fields
Abstract
We present an exact solution of the linearised semiclassical Boltzmann equation (SBE) beyond the relaxation-time approximation for multifold semimetals under arbitrarily oriented electric and magnetic fields. The framework treats the Berry curvature, orbital magnetic moment, Lorentz-force operator, and scattering terms on equal footing. Momentum-independent scattering-amplitudes couple the Fermi-surface sheets through intranode, interband, and internode processes. The scattering kernel has a finite rank and the SBE reduces to a linear system for a few moments, which is closed by the electron-number constraint. We apply this approach to four systems involving quadratic-corrected triple-point, Weyl, and Rarita-Schwinger-Weyl nodes, including tilted triple-point nodes. We obtain analytical results at zero field and to leading orders in the magnetic field, alongside numerical solutions for the full field dependence. Our results elucidate the roles of the topological properties, Lorentz-force operator, tilt, and intra- and internode scatterings in shaping the magnetoelectric conductivity. It cures severe shortcomings of previous treatments like incomplete ansätze and incomplete treatment of the Lorentz-force operator.
Related
- Plasmon modes in three-dimensional multifold semimetals. I. Triple-point semimetal, its quadratic cousin, and Hopf semimetal
- Plasmon modes in three-dimensional multifold semimetals. II. Rarita-Schwinger-Weyl and Kramers-Weyl nodes
- Magnetoconductivity of two-dimensional Dirac cones and gapped nodal-rings under impurity-potentials in the ultraquantum limit
- Topological characterization of multifold band degeneracies in Altland-Zirnbauer symmetry classes
- Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
BibTeX
@misc{mandal2026beyondrta,
title = {{Beyond-RTA magnetoconductivity of multifold semimetals under generic orientations of electromagnetic fields}},
author = {Ipsita Mandal},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01398},
eprint = {2611.01398},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01398},
note = {CC0},
}
RIS
TY - UNPB
TI - Beyond-RTA magnetoconductivity of multifold semimetals under generic orientations of electromagnetic fields
AU - Ipsita Mandal
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01398
UR - https://arxiv.org/abs/2611.01398
AB - We present an exact solution of the linearised semiclassical Boltzmann equation (SBE) beyond the relaxation-time approximation for multifold semimetals under arbitrarily oriented electric and magnetic fields. The framework treats the Berry curvature, orbital magnetic moment, Lorentz-force operator, and scattering terms on equal footing. Momentum-independent scattering-amplitudes couple the Fermi-surface sheets through intranode, interband, and internode processes. The scattering kernel has a finite rank and the SBE reduces to a linear system for a few moments, which is closed by the electron-number constraint. We apply this approach to four systems involving quadratic-corrected triple-point, Weyl, and Rarita-Schwinger-Weyl nodes, including tilted triple-point nodes. We obtain analytical results at zero field and to leading orders in the magnetic field, alongside numerical solutions for the full field dependence. Our results elucidate the roles of the topological properties, Lorentz-force operator, tilt, and intra- and internode scatterings in shaping the magnetoelectric conductivity. It cures severe shortcomings of previous treatments like incomplete ansätze and incomplete treatment of the Lorentz-force operator.
ER -