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Science Bulletin 2024年第14期69卷 2187-2193页

作者：张学伟魏强彭冕邓伟胤陆久阳黄学勤贾锁堂严谋刘正猷陈刚 State Key Laboratory of quantum Optics and quantum Optics Devices Institute of Laser SpectroscopyShanxi UniversityTaiyuan 030006China Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan 030006China School of Physics and Optoelectronics South China University of TechnologyGuangzhou 510640China Key Laboratory of Materials Physics Ministry of EducationSchool of PhysicsZhengzhou UniversityZhengzhou 450001China Laboratory of Zhongyuan Light School of PhysicsZhengzhou UniversityZhengzhou 450001China Institute of quantum Materials and Physics Henan Academy of SciencesZhengzhou 450046China Key Laboratory of Artificial Micro-and Nanostructures of Ministry of Education and School of Physics and Technology Wuhan UniversityWuhan 430072China Institute for Advanced Studies Wuhan UniversityWuhan 430072China

quantum hall effect,the quantized transport phenomenon of electrons under strong magnetic fields,remains one of the hottest research topics in condensed matter physics since its discovery in 2D electronic ***,as a great advance in the research of quantum hall effects,the quantum hall effect in 3D systems,despite its big challenge,has been achieved in the bulk ZrTe_(5)and Cd_(3)As_(2)***,Cd_(3)As_(2)is a Weyl semimetal,and quantum hall effect is hosted by the Fermi arc states on opposite surfaces via the Weyl nodes of the bulk,and induced by the unique edge states on the boundaries of the opposite ***,such intriguing edge state distribution has not yet been experimentally ***,we aim to reveal experimentally the unusual edge states of Fermi arcs in acoustic Weyl system with the aid of pseudo-magnetic *** from the macroscopic nature of acoustic crystals,the pseudo-magnetic field is introduced by elaborately designed the gradient onsite energy,and the edge states of Fermi arcs on the boundaries of the opposite surfaces are unambiguously demonstrated in *** system serves as an ideal and highly tunable platform to explore the hall physics in 3D system,and has the potential in the application of new acoustic devices.

关键词： quantum hall effects Acoustic crystals Pseudo-magnetic field Landau levels Edge states

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Homotopy Approach to Fractional quantum hall Effect

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Applied Mathematics 2015年第2期6卷 345-358页

作者： Janusz Jacak Patrycja Lydzba Lucjan Jacak Institute of Physics Wroclaw University of TechnologyWroclawPoland

The topology-based explanation of the origin of the fractional quantum hall effect is summarized. The cyclotron braid subgroups crucial for this approach are introduced in order to identify the origin of Laughlin correlations in 2D hall systems. The so-called composite fermions are explained in terms of the homotopy cyclotron braids. Some new concept for fractional Chern insulator states is formulated in terms of the homotopy condition applied to the Berry field flux quantization.

关键词： quantum hall effects Braid Groups Homotopy Methods

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