Winding-Controlled Topological Descendants of Antialtermagnets
Abstract
Odd-parity spin splitting constrains magnetic band crossings but does not determine their topological descendants. We show that the Chern contribution of an isolated inverted sector is controlled by the phase winding of its transverse mass pair: when the masses and tangential velocities reverse together, contributions from successive Dirac points add rather than cancel. This distinguishes topological winding from the polynomial degree labeling the magnetic parent. For specified complementary masses, periodic tetragonal h- and hexagonal j-wave models host eight and twelve same-chirality Weyl points on a momentum plane, with gapped-slice Chern numbers |C|=4 and $6$, respectively. A microscopic four-band p-wave model identifies an antiunitary obstruction to first-order transverse masses and demonstrates a symmetry-broken C=1 phase at quarter filling. First-principles calculations for the proposed coplanar spin-vortex texture of LaMnAu5 reveal the h-wave nodal pattern, its anisotropic spin--orbit reconstruction, and a mirror-channel spectral response that reverses under opposite spin rotations. Together, these results distinguish the symmetry of an odd-parity magnetic parent from the mass structure controlling the topology of its descendants.
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BibTeX
@misc{vishkayi2026windingcontrolled,
title = {{Winding-Controlled Topological Descendants of Antialtermagnets}},
author = {Sahar Izadi Vishkayi and Carmine Autieri and Meysam Bagheri Tagani},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33252},
eprint = {2610.33252},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33252},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Winding-Controlled Topological Descendants of Antialtermagnets
AU - Sahar Izadi Vishkayi
AU - Carmine Autieri
AU - Meysam Bagheri Tagani
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33252
UR - https://arxiv.org/abs/2610.33252
AB - Odd-parity spin splitting constrains magnetic band crossings but does not determine their topological descendants. We show that the Chern contribution of an isolated inverted sector is controlled by the phase winding of its transverse mass pair: when the masses and tangential velocities reverse together, contributions from successive Dirac points add rather than cancel. This distinguishes topological winding from the polynomial degree labeling the magnetic parent. For specified complementary masses, periodic tetragonal h- and hexagonal j-wave models host eight and twelve same-chirality Weyl points on a momentum plane, with gapped-slice Chern numbers |C|=4 and $6$, respectively. A microscopic four-band p-wave model identifies an antiunitary obstruction to first-order transverse masses and demonstrates a symmetry-broken C=1 phase at quarter filling. First-principles calculations for the proposed coplanar spin-vortex texture of LaMnAu_5 reveal the h-wave nodal pattern, its anisotropic spin--orbit reconstruction, and a mirror-channel spectral response that reverses under opposite spin rotations. Together, these results distinguish the symmetry of an odd-parity magnetic parent from the mass structure controlling the topology of its descendants.
ER -