Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals
Abstract
By performing complete enumeration of all configurations of magnetic moments, we have determined the ground-state phase diagram of the effective model with antiferromagnetic nearest-neighbor interactions J1 and ferromagnetic next-nearest-neighbor interactions J2 on the 1/1 periodic approximant to icosahedral quasicrystal. Depending on the ratio of J2/J1 and the magnetic anisotropy arising from the crystalline electric field, various non-collinear ferrimagnetic orders and antiferromagnetic orders are shown to be stabilized, whose magnetic space groups are identified as R3̅, C2'/m', Pm'm'2 and IPm'3̅'. We have revealed the topological as well as magnetic property of each ground state with degeneracy, which is useful to understand experimental observations of magnetic structures and domains in the rare-earth-based 1/1 approximants.
Versions
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BibTeX
@misc{watanabe2026groundstate,
title = {{Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals}},
author = {Shinji Watanabe},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12840},
eprint = {2610.12840},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12840},
}
RIS
TY - UNPB
TI - Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals
AU - Shinji Watanabe
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.12840
UR - https://arxiv.org/abs/2610.12840
AB - By performing complete enumeration of all configurations of magnetic moments, we have determined the ground-state phase diagram of the effective model with antiferromagnetic nearest-neighbor interactions J_1 and ferromagnetic next-nearest-neighbor interactions J_2 on the 1/1 periodic approximant to icosahedral quasicrystal. Depending on the ratio of J_2/J_1 and the magnetic anisotropy arising from the crystalline electric field, various non-collinear ferrimagnetic orders and antiferromagnetic orders are shown to be stabilized, whose magnetic space groups are identified as R3̅, C2'/m', Pm'm'2 and I_Pm'3̅'. We have revealed the topological as well as magnetic property of each ground state with degeneracy, which is useful to understand experimental observations of magnetic structures and domains in the rare-earth-based 1/1 approximants.
ER -