AlterSeeK-Path: Systematic construction of generalized band-structure paths for displaying altermagnetic spin splitting
Abstract
Altermagnetic materials exhibit spin splitting in their electronic band structures while maintaining zero net magnetization. However, conventional high-symmetry k-paths generally hide this splitting because they follow symmetry lines that in most cases enforce spin degeneracy. We present AlterSeeK-Path, an open-source Python tool that systematically constructs generalized band-structure paths for collinear altermagnets. The method selects the centroid of the conventional irreducible wedge used in routine band-structure calculations as the representative general k-point, maps it to a spin-flip-related partner, and inserts paired segments through these points into the standard high-symmetry path; these segments systematically sample the interior of the irreducible wedge. We demonstrate the construction for all 54 three-dimensional combinations of extended Bravais lattice type and spin Laue group across the six crystal systems that support collinear altermagnetism, and for the 12 two-dimensional cases spanning the four compatible two-dimensional Bravais lattices. Representative band structures are shown for the distinct lattice/path cases. With AlterSeeK-Path, these band structures can be constructed with essentially the same effort as conventional band structures.
Related
- Systematic display of the spin splitting in band structures of representative altermagnetic crystals
- Analytic construction of dimension-dependent steering witnesses from generalized equiangular measurements
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BibTeX
@misc{teng2026alterseekpath,
title = {{AlterSeeK-Path: Systematic construction of generalized band-structure paths for displaying altermagnetic spin splitting}},
author = {Yujia Teng and Mesfin Eshete and Andrea Urru and Daniel Seleznev and Se Young Park and Sebastian E. Reyes-Lillo and Karin M. Rabe},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02770},
eprint = {2609.02770},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02770},
}
RIS
TY - UNPB
TI - AlterSeeK-Path: Systematic construction of generalized band-structure paths for displaying altermagnetic spin splitting
AU - Yujia Teng
AU - Mesfin Eshete
AU - Andrea Urru
AU - Daniel Seleznev
AU - Se Young Park
AU - Sebastian E. Reyes-Lillo
AU - Karin M. Rabe
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02770
UR - https://arxiv.org/abs/2609.02770
AB - Altermagnetic materials exhibit spin splitting in their electronic band structures while maintaining zero net magnetization. However, conventional high-symmetry k-paths generally hide this splitting because they follow symmetry lines that in most cases enforce spin degeneracy. We present AlterSeeK-Path, an open-source Python tool that systematically constructs generalized band-structure paths for collinear altermagnets. The method selects the centroid of the conventional irreducible wedge used in routine band-structure calculations as the representative general k-point, maps it to a spin-flip-related partner, and inserts paired segments through these points into the standard high-symmetry path; these segments systematically sample the interior of the irreducible wedge. We demonstrate the construction for all 54 three-dimensional combinations of extended Bravais lattice type and spin Laue group across the six crystal systems that support collinear altermagnetism, and for the 12 two-dimensional cases spanning the four compatible two-dimensional Bravais lattices. Representative band structures are shown for the distinct lattice/path cases. With AlterSeeK-Path, these band structures can be constructed with essentially the same effort as conventional band structures.
ER -