Two-dimensional higher-order Weyl semimetals, by Lizhou Liu, Qing-Feng Sun, Ying-Tao Zhang
Summarize this article with:
SciPost Physics Home Authoring Refereeing Submit a manuscript About Two-dimensional higher-order Weyl semimetals Lizhou Liu, Qing-Feng Sun, Ying-Tao Zhang SciPost Phys. 20, 115 (2026) · published 17 April 2026 doi: 10.21468/SciPostPhys.20.4.115 pdf BiBTeX RIS Submissions/Reports Abstract We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological film coupled with a $d$-wave altermagnet. Our results show that the trilayer topological film exhibits two-dimensional Weyl semimetal characteristics with helical edge states. Notably, the Weyl points are located at four high-symmetry points in the Brillouin zone, and the topology of symmetry subspaces governs the formation of these Weyl points and edge states. Upon introducing a $d$-wave altermagnet oriented along the $z$-direction, gaps open in the helical edge states while preserving two Weyl points, leading to the realization of two-dimensional higher-order Weyl semimetals hosting topological corner states. The nonzero winding number in the subspace along the high-symmetry line serves as a topological invariant characterizing these corner states, and the other subspace Hamiltonian confirms the existence of the Weyl points. Finally, a topological phase diagram provides a complete topological description of the system. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.4.115TI - Two-dimensional higher-order Weyl semimetalsPY - 2026/04/17UR - https://scipost.org/SciPostPhys.20.4.115JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 4SP - 115A1 - Liu, LizhouAU - Sun, Qing-FengAU - Zhang, Ying-TaoAB - We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological film coupled with a $d$-wave altermagnet. Our results show that the trilayer topological film exhibits two-dimensional Weyl semimetal characteristics with helical edge states. Notably, the Weyl points are located at four high-symmetry points in the Brillouin zone, and the topology of symmetry subspaces governs the formation of these Weyl points and edge states. Upon introducing a $d$-wave altermagnet oriented along the $z$-direction, gaps open in the helical edge states while preserving two Weyl points, leading to the realization of two-dimensional higher-order Weyl semimetals hosting topological corner states. The nonzero winding number in the subspace along the high-symmetry line serves as a topological invariant characterizing these corner states, and the other subspace Hamiltonian confirms the existence of the Weyl points. Finally, a topological phase diagram provides a complete topological description of the system.ER - × @Article{10.21468/SciPostPhys.20.4.115, title={{Two-dimensional higher-order Weyl semimetals}}, author={Lizhou Liu and Qing-Feng Sun and Ying-Tao Zhang}, journal={SciPost Phys.}, volume={20}, pages={115}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.4.115}, url={https://scipost.org/10.21468/SciPostPhys.20.4.115},} Ontology / Topics See full Ontology or Topics database. Edge states Topological semimetals Two-dimensional systems Weyl semimetals Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Lizhou Liu, 2 3 Qing-Feng Sun, 1 Ying-Tao Zhang 1 河北师范大学 / Hebei Normal University 2 北京大学 / Peking University [PKU] 3 合肥国家实验室 / Hefei National Laboratory Funders for the research work leading to this publication National Key Research and Development Program of China (through Organization: Ministry of Science and Technology of the People's Republic of China [MOST]) National Natural Science Foundation of China [NSFC] Natural Science Foundation of Hebei Province