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We theoretically study the emergence of topological magnons in electron-magnon coupled systems. The magnon dispersion in a ferromagnet usually possesses an effective time reversal symmetry in the absence of Dzyaloshinskii-Moriya (DM)…

Strongly Correlated Electrons · Physics 2026-02-02 Kosuke Fujiwara , Takahiro Morimoto

This work is devoted to studying the magnon-magnon interaction effect in a two-dimensional checkerboard ferromagnet with the Dzyaloshinskii-Moriya interaction. By means of the first-order Green function formalism, the influence of…

Strongly Correlated Electrons · Physics 2023-07-10 Heng Zhu , Hongchao Shi , Zhengguo Tang , Bing Tang

Topological magnons are bosonic analogues of topological fermions in electronic systems. They have been studied extensively by theory but rarely realized by experiment. Here, by performing inelastic neutron scattering measurements on single…

A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

The study of the magnonic thermal Hall effect in magnets with Dzyaloshinskii-Moriya interaction (DMI) has recently drawn attention because of the underlying topology. Topological phase transitions may arise when there exist two or more…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Yu-Shan Lu , Jian-Lin Li , Chien-Te Wu

Thermal fluctuation in magnets will bring temperature-dependent self-energy corrections to the magnons, however, their effects on the topological orders of magnons is not well explored. Here we demonstrate that such corrections can induce a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Yun-Mei Li , Xi-Wang Luo , Kai Chang

In magnetic topological insulators, the surface states can exhibit a gap due to the breaking of time-reversal symmetry. Various experiments, while suggesting the existence of the surface gap, have raised questions about its underlying…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Habib Rostami , Ali G. Moghaddam

Since longitudinal spin-spin interaction is ubiquitous in magnetic materials, it is very interesting to explore the interplay between topology and longitudinal spin-spin interaction. Here, we examine the role of longitudinal spin-spin…

Mesoscale and Nanoscale Physics · Physics 2023-01-12 Wenjie Liu , Yongguan Ke , Zhoutao Lei , Chaohong Lee

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

Strongly Correlated Electrons · Physics 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

At sufficiently low temperatures magnetic materials often enter a correlated phase hosting collective, coherent magnetic excitations such as magnons or triplons. Drawing on the enormous progress on topological materials of the last few…

Strongly Correlated Electrons · Physics 2022-10-05 Paul McClarty

Moir\'e-induced narrow electronic bands in transition metal dichalcogenide superlattices support many correlated quantum phases characterized by novel charge, flavor, and topological orders. Among these, magnetic ordering emerges as the…

Strongly Correlated Electrons · Physics 2026-03-24 Ming Xie , Sankar Das Sarma

We consider quantum condensed matter systems without particle-number conservation. Since the particle number is not a good quantum number, states belonging to different particle-number sectors can hybridize, which causes topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Alexander Mook , Rhea Hoyer , Jelena Klinovaja , Daniel Loss

In the ferromagnetic insulator with Dzyaloshinskii-Moriya interaction, we theoretically predict and numerically verify a topological magnon insulator, where the charge-free magnon is topologically protected to transport along the edge while…

Mesoscale and Nanoscale Physics · Physics 2013-04-10 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

Topological phases of electrons such as topological insulators and quantum Hall states typically require strong spin-orbit coupling or magnetic fields. In this study, we consider an electron system coupled to a spin system, where electrons…

Strongly Correlated Electrons · Physics 2025-12-11 Kosuke Fujiwara , Takahiro Morimoto

The phase of the quantum-mechanical wave function can encode a topological structure with wide-ranging physical consequences, such as anomalous transport effects and the existence of edge states robust against perturbations. While this has…

Strongly Correlated Electrons · Physics 2023-11-14 M. dos Santos Dias , N. Biniskos , F. J. dos Santos , K. Schmalzl , J. Persson , F. Bourdarot , N. Marzari , S. Blügel , T. Brückel , S. Lounis

Topological magnon insulators in insulating Kagom\'e ferromagnets have been extensively studied in a series of papers. It has been established that Dzyaloshinskii-Moriya interaction (DMI) is the key ingredient to observe a nontrivial…

Strongly Correlated Electrons · Physics 2016-11-22 S. A. Owerre

A variety of distinct anisotropic exchange interactions commonly exist in one magnetic material due to complex crystal, magnetic and orbital symmetries. Here we investigate the effects of multiple anisotropic exchange interactions on…

Strongly Correlated Electrons · Physics 2025-12-29 Jin-Yu Ni , Xia-Ming Zheng , Peng-Tao Wei , Da-Yong Liu , Liang-Jian Zou

Topological magnon insulators are the bosonic analogs of electronic topological insulators. They are manifested in magnetic materials with topologically nontrivial magnon bands as realized experimentally in a quasi-two-dimensional…

Strongly Correlated Electrons · Physics 2018-11-13 S. A. Owerre

Ferromagnetism in topological insulators (TIs) opens a topologically non-trivial exchange band gap, providing an exciting platform to manipulate the topological order through an external magnetic field. Here, we experimentally show that the…

When interacting spins in condensed matter order ferromagnetically, their ground state wave function is topologically trivial. Nonetheless, in two dimensions, the ferromagnetic state can support spin excitations with nontrivial topology, an…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alexander Mook , Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss
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