Abstract
Honeycomb or triangular lattices were extensively studied and thought to be proper platforms for realizing the quantum anomalous Hall effect (QAHE), where magnetism is usually caused by d orbitals of transition metals. Here we propose that a square lattice can host three magnetic topological states, including the fully spin-polarized nodal loop semimetal, QAHE and the topologically trivial ferromagnetic semiconductor, in terms of the symmetry and k · p model analyses that are material independent. A phase diagram is presented. We further show that the above three magnetic topological states can indeed be implemented in the two-dimensional (2D) materials ScLiCl5, LiScZ5 (Z=Cl, Br) and ScLiBr5, respectively. The ferromagnetism in these 2D materials is microscopically revealed from p electrons of halogen atoms. This present study opens a door to explore the exotic topological states as well as quantum magnetism from p-orbital electrons by means of the material-independent approach.
Highlights
In two-dimensional (2D) systems, the coexistence of magnetism and nontrivial topological states can induce many novel physical phenomena
Two interesting questions arise: whether can the quantum anomalous Hall effect (QAHE) be realized in other lattices, such as square lattice? Can the QAHE be obtained in materials with p orbitals? The study on these questions cannot only give a further understanding of topological states and quantum magnetism, and offer new family of materials to search for possible room temperature QAHE
Our findings provide a new mechanism of magnetic topological states from p-orbital electrons on square lattices, and present a novel family of 2D magnetic topological materials with high Chern number
Summary
In two-dimensional (2D) systems, the coexistence of magnetism and nontrivial topological states can induce many novel physical phenomena. We address these appealing issues by revealing a square lattice with the space group P/4n (No.85) that can accommodate three different p-orbital magnetic topological states, i.e. the fully spin-polarized nodal loop semimetal, QAHE and ferromagnetic semiconductor. These three quantum states can be obtained by the symmetry and k · p model analysis, which can be implemented in 2D materials ScLiCl5, LiScZ5 (Z=Cl, Br), and ScLiBr5. Our findings provide a new mechanism of magnetic topological states from p-orbital electrons on square lattices, and present a novel family of 2D magnetic topological materials with high Chern number
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