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PreprintarXiv licencearXiv

Higher-Order Topological Phase in the Two-Dimensional Type-IV Magnet MgCr2O4

  • Xiaorong Zou
  • Hyeon Suk Shin
  • Yanmei Zang
  • Ying Dai
  • Chengwang Niu
  • Chang-Jong Kang
  • Chang Woo Myung
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Abstract

Type-IV two-dimensional (2D) magnetism-a newly classified collinear magnetic phase featuring nonrelativistic spin degeneracy and spin-orbit-coupling-induced momentum-dependent spin splitting-extends the symmetry classification of collinear magnets, opening new opportunities for unconventional topological quantum states. Here, we reveal that the recently proposed two-dimensional type-IV 2D magnet MgCr2O4 hosts an intrinsic higher-order topological insulating phase, featuring π’ž3z-protected corner states and a nontrivial rotational topological invariant of Ο‡(3) = {βˆ’2,4} with a quantized fractional corner charge of 4e/3. Spin-orbit coupling breaks the spin-degeneracy-enforcing symmetry [C2||Mz] while preserving the crystalline π’ž3z rotational symmetry that protects the higher-order topological phase, thereby enabling spin splitting to coexist with the nontrivial topology. Furthermore, the higher-order topological phase remains intact throughout a wide range of biaxial strains without band-gap closing and topological phase transition, demonstrating the robustness of the symmetry-protected topological state against external perturbations. Our work establishes a direct connection between type-IV magnetic system and higher-order topology, providing a new route for symmetry-engineered magnetic topological quantum states.

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Cite

BibTeXRIS
BibTeX
@misc{zou2026higherorder,
  title = {{Higher-Order Topological Phase in the Two-Dimensional Type-IV Magnet MgCr$_2$O$_4$}},
  author = {Xiaorong Zou and Hyeon Suk Shin and Yanmei Zang and Ying Dai and Chengwang Niu and Chang-Jong Kang and Chang Woo Myung},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.27918},
  eprint = {2608.27918},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27918},
}
RIS
TY  - UNPB
TI  - Higher-Order Topological Phase in the Two-Dimensional Type-IV Magnet MgCr_2O_4
AU  - Xiaorong Zou
AU  - Hyeon Suk Shin
AU  - Yanmei Zang
AU  - Ying Dai
AU  - Chengwang Niu
AU  - Chang-Jong Kang
AU  - Chang Woo Myung
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.27918
UR  - https://arxiv.org/abs/2608.27918
AB  - Type-IV two-dimensional (2D) magnetism-a newly classified collinear magnetic phase featuring nonrelativistic spin degeneracy and spin-orbit-coupling-induced momentum-dependent spin splitting-extends the symmetry classification of collinear magnets, opening new opportunities for unconventional topological quantum states. Here, we reveal that the recently proposed two-dimensional type-IV 2D magnet MgCr_2O_4 hosts an intrinsic higher-order topological insulating phase, featuring π’ž_3z-protected corner states and a nontrivial rotational topological invariant of Ο‡^(3) = {βˆ’2,4} with a quantized fractional corner charge of 4e/3. Spin-orbit coupling breaks the spin-degeneracy-enforcing symmetry [C_2||M_z] while preserving the crystalline π’ž_3z rotational symmetry that protects the higher-order topological phase, thereby enabling spin splitting to coexist with the nontrivial topology. Furthermore, the higher-order topological phase remains intact throughout a wide range of biaxial strains without band-gap closing and topological phase transition, demonstrating the robustness of the symmetry-protected topological state against external perturbations. Our work establishes a direct connection between type-IV magnetic system and higher-order topology, providing a new route for symmetry-engineered magnetic topological quantum states.
ER  -