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Altermagnetism (AM) has brought renewed attention to the Lieb lattice. Here, we broaden the scope of altermagnetic models on the Lieb lattice by using a general scheme based on spin clusters. We design various altermagnetic models with d-…

Strongly Correlated Electrons · Physics 2026-01-22 Xingmin Huo , Xingchuan Zhu , Chang-An Li , Shiping Feng , Song-Bo Zhang , Shengyuan A. Yang , Huaiming Guo

The emergence of altermagnetism, the collinear magnetic phase characterized by momentum-dependent spin-split bands but zero net magnetization, has fundamentally reshaped the classification of magnetic order. We propose an altermagnetic (AM)…

Strongly Correlated Electrons · Physics 2026-01-21 Sougata Biswas , Achintyaa , Paramita Dutta

Altermagnets (AMs) are an emergent class of magnetic materials that combine properties of ferromagnets and antiferromagnets, exhibiting spin-polarized Fermi surfaces and zero net magnetic moment due to combined time-reversal and crystal…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Zesen Fu , Mengli Hu , Aolin Li , Haiming Duan , Junwei Liu , Fangping Ouyang

Conventional topological classification theory dictates that time-reversal symmetry confines the quantum spin Hall (QSH) effect to a $\mathbb{Z}_2$ classification, permitting only a single pair of gapless helical edge states. Here, we…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

We investigate the properties of the Lieb lattice, i.e a face-centered square lattice, subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar quantum Hall effect, which is a consequence of the single…

Quantum Gases · Physics 2011-06-22 N. Goldman , D. F. Urban , D. Bercioux

We study the emergence of altermagnetism from repulsive interactions for electrons on the Lieb lattice as a model of quasi-2D oxychalcogenides with the so-called "anti-CuO$_{2}$" lattice structure. A comprehensive study of the Lieb lattice…

Strongly Correlated Electrons · Physics 2024-12-25 Nitin Kaushal , Marcel Franz

Altermagnetism (AM), the recently discovered third class of collinear magnetic order, is characterized by non-relativistic momentum-dependent spin-split electronic structure with compensated zero net magnetization. It can arise from the…

Strongly Correlated Electrons · Physics 2025-07-02 Jin-Wei Dong , Yu-Han Lin , Ruiqing Fu , Xianxin Wu , Gang Su , Ziqiang Wang , Sen Zhou

As one of paradigmatic phenomena in condensed matter physics, the quantum anomalous Hall effect (QAHE) in stoichiometric Chern insulators has drawn great interest for years. By using model Hamiltonian analysis and first-principle…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Hongyi Sun , Bowen Xia , Zhongjia Chen , Yingjie Zhang , Pengfei Liu , Qiushi Yao , Hong Tang , Yujun Zhao , Hu Xu , Qihang Liu

We predict a so-called axial Hall effect, a Berry-curvature-driven anomalous Hall response, in Lieb-lattice altermagnets. By constructing a tight-binding model, we identify the axial direction as a hidden topological degree of freedom.…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Xilong Xu , Haonan Wang , Li Yang

Recently, a novel collinear magnet, i.e. the altermagnet (AM), with spin-splitting energy band and zero net magnetization have attracted great interest due to its potential spintronic applications. Here, we demonstrate AM-like phases in a…

Strongly Correlated Electrons · Physics 2025-02-25 Miaomiao Zhao , Wei-Wei Yang , Xueming Guo , Hong-Gang Luo , Yin Zhong

A novel topological insulator with tunable edge states, called quantum spin-quantum anomalous Hall (QSQAH) insulator, is predicted in a heterostructure of a hydrogenated Sb (SbH) monolayer on a LaFeO3 substrate by using ab initio methods.…

Materials Science · Physics 2018-01-10 Tong Zhou , Jiayong Zhang , Yang Xue , Bao Zhao , Huisheng Zhang , Hua Jiang , Zhongqin Yang

Recent years have witnessed great interest in the quantum spin Hall effect (QSHE) which is a new quantum state of matter with nontrivial topological property due to the scientific importance as a novel quantum state and the technological…

Materials Science · Physics 2012-02-08 Cheng-Cheng Liu , Wanxiang Feng , Yugui Yao

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

The Lieb lattice, originally proposed for cuprate superconductors, has gained new attention in the emerging field of altermagnetism as a minimal analytical model for the latter. While initially the so-called inverse Lieb lattice (ILL) was…

Materials Science · Physics 2025-08-12 Po-Hao Chang , Igor I. Mazin , Kirill D. Belashchenko

There has been tremendous recent progress in realizing topological insulator initiated by the proposal of Kane and Mele for the graphene system. They have suggested that the odd $Z_2$ index for the graphene manifests the spin filtered edge…

Strongly Correlated Electrons · Physics 2015-05-28 Jun-Won Rhim , Kyungsun Moon

A recently identified class of collinear magnetic order, characterized by vanishing net magnetization yet unconventional spin splitting, known as altermagnets (AMs), has attracted significant research interest. Controlling the…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Yichen Liu , Tongshuai Zhu , Haijun Zhang

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 An Zhao , Shun-Qing Shen

We investigate the emergence of altermagnetic (AM) phases on the square-kagome lattice. Our analysis reveals that matrix element effects due to an orthogonal sublattice weight decomposition of Fermi level eigenstates known as sublattice…

Strongly Correlated Electrons · Physics 2026-03-13 Jonas Issing , Jannis Seufert , Michael Klett , Sarbajit Mazumdar , Yasir Iqbal , Ronny Thomale , Atanu Maity

While the quantum spin Hall (QSH) effect and antiferromagnetic order constitute two of the most promising phenomena for embedding basic spintronic concepts into future technologies, almost all of the QSH insulators known to date are…

Materials Science · Physics 2017-05-22 C. Niu , J. -P. Hanke , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blügel , Y. Mokrousov
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