Ground-state properties of uniaxial magnetic model for antiferromagnetic 1/1 periodic approximants to icosahedral quasicrystals
Abstract
The ground-state properties of the uniaxial magnetic model in the 1/1 periodic approximant to the icosahedral quasicrystal with antiferromagnetic interactions for the nearest-neighbor bond J1 and the next-nearest-neighbor bond J2 are analyzed theoretically. By performing numerically-exact calculation, we have determined the ground-state phase diagram for the interaction strength J2/J1 and the magnetic anisotropy defined within the mirror plane reflecting the effect of the crystalline electric field. We have discovered non-collinear magnetic structures, whose magnetic space groups are identified as the antiferromagnetic orders IPm'3̅' and RR3̅ with the magnetic propagation vector (111) as well as the antiferromagnetic orders Im'm'm' and R3̅' with the magnetic propagation vector (000) and the ferrimagnetic orders Im'm'2, I2'2'2, P2'/m', and P1̅. By analyzing each ground state with degeneracy, we have revealed the magnetic as well as topological properties, which are useful to analyze experimental observations of rare-earth-based 1/1 approximants considering the effect of magnetic domains.
Versions
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BibTeX
@misc{watanabe2026groundstate,
title = {{Ground-state properties of uniaxial magnetic model for antiferromagnetic 1/1 periodic approximants to icosahedral quasicrystals}},
author = {Shinji Watanabe},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07660},
eprint = {2611.07660},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07660},
}
RIS
TY - UNPB
TI - Ground-state properties of uniaxial magnetic model for antiferromagnetic 1/1 periodic approximants to icosahedral quasicrystals
AU - Shinji Watanabe
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07660
UR - https://arxiv.org/abs/2611.07660
AB - The ground-state properties of the uniaxial magnetic model in the 1/1 periodic approximant to the icosahedral quasicrystal with antiferromagnetic interactions for the nearest-neighbor bond J_1 and the next-nearest-neighbor bond J_2 are analyzed theoretically. By performing numerically-exact calculation, we have determined the ground-state phase diagram for the interaction strength J_2/J_1 and the magnetic anisotropy defined within the mirror plane reflecting the effect of the crystalline electric field. We have discovered non-collinear magnetic structures, whose magnetic space groups are identified as the antiferromagnetic orders I_Pm'3̅' and R_R3̅ with the magnetic propagation vector (111) as well as the antiferromagnetic orders Im'm'm' and R3̅' with the magnetic propagation vector (000) and the ferrimagnetic orders Im'm'2, I2'2'2, P2'/m', and P1̅. By analyzing each ground state with degeneracy, we have revealed the magnetic as well as topological properties, which are useful to analyze experimental observations of rare-earth-based 1/1 approximants considering the effect of magnetic domains.
ER -