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1. A topological kagome magnet in high entropy form

   https://doi.org/10.1038/s42005-022-00842-1  

   Min, Lujin; Sretenovic, Milos; Heitmann, Thomas W.; Valentine, Tyler W.; Zu, Rui; Gopalan, Venkatraman; Rost, Christina M.; Ke, Xianglin; Mao, Zhiqiang (March 2022, Communications Physics)

   Abstract Topological kagome magnets RMn₆Sn₆(R = rare earth element) attract numerous interests due to their non-trivial band topology and room-temperature magnetism. Here, we report a high entropy version of kagome magnet, (Gd_0.38Tb_0.27Dy_0.20Ho_0.15)Mn₆Sn₆. Such a high entropy material exhibits multiple spin reorientation transitions, which is not seen in all the related parent compounds and can be understood in terms of competing magnetic interactions enabled by high entropy. Furthermore, we also observed an intrinsic anomalous Hall effect, indicating that the high entropy phase preserves the non-trivial band topology. These results suggest that high entropy may provide a route to engineer the magnetic structure and expand the horizon of topological materials. 

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2. Topological magnon bands in a room-temperature kagome magnet

   https://doi.org/10.1103/PhysRevB.101.100405  

   Zhang, H.; Feng, X.; Heitmann, T.; Kolesnikov, A. I.; Stone, M. B.; Lu, Y.-M.; Ke, X. (March 2020, Physical Review B)
3. Activity-Enhanced Self-Assembly of a Colloidal Kagome Lattice

   https://doi.org/10.1021/jacs.8b12165  

   Mallory, Stewart A.; Cacciuto, Angelo (January 2019, Journal of the American Chemical Society)
4. Magnetostriction, piezomagnetism and domain nucleation in a Kagome antiferromagnet

   https://doi.org/10.1038/s41467-024-51268-y  

   Meng, Qingkai; Dong, Jianting; Nie, Pan; Xu, Liangcai; Wang, Jinhua; Jiang, Shan; Zuo, Huakun; Zhang, Jia; Li, Xiaokang; Zhu, Zengwei; et al (December 2024, Nature Communications)

   Whenever the elastic energy of a solid depends on magnetic field, there is a magnetostrictive response. Field-linear magnetostriction implies piezo- magnetism and vice versa. Here, we show that Mn3Sn, a non-collinear anti- ferromanget with Weyl nodes, hosts a large and almost perfectly linear magnetostriction even at room temperature. The longitudinal and transverse magnetostriction, with opposite signs and similar amplitude are restricted to the kagome planes and the out-of-plane response is negligibly small. By studying four different samples with different Mn:Sn ratios, we find a clear correlation between the linear magnetostriction, the spontaneous magneti- zation and the concentration of Sn vacancies. The recently reported piezo- magnetic data fits in our picture. We show that linear magnetostriction and piezomagnetism are both driven by the field-induced in-plane twist of spins. A quantitative account of the experimental data requires the distortion of the spin texture by Sn vacancies. We find that the field-induced domain nucleation within the hysteresis loop corresponds to a phase transition. Within the hys- teresis loop, a concomitant mesoscopic modulation of local strain and spin twist angles, leading to twisto-magnetic stripes, arises as a result of the com- petition between elastic and magnetic energies. 

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5. Quantum phases of Rydberg atoms on a kagome lattice

   https://doi.org/10.1073/pnas.2015785118  

   Samajdar, Rhine; Ho, Wen Wei; Pichler, Hannes; Lukin, Mikhail D.; Sachdev, Subir (January 2021, Proceedings of the National Academy of Sciences)

   null (Ed.)

   We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization group calculations reveal the presence of a wide variety of complex solid phases with broken lattice symmetries. In addition, we identify a regime with dense Rydberg excitations that has a large entanglement entropy and no local order parameter associated with lattice symmetries. From a mapping to the triangular lattice quantum dimer model, and theories of quantum phase transitions out of the proximate solid phases, we argue that this regime could contain one or more phases with topological order. Our results provide the foundation for theoretical and experimental explorations of crystalline and liquid states using programmable quantum simulators based on Rydberg atom arrays. 

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