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Rotating effects on the Hall conductivity in a quantum dot

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Abstract

We analyze the quantized Hall conductivity of a 2D system simultaneously exposed to rotation, a uniform magnetic field, and an Aharonov–Bohm flux. Rotation shifts and narrows the Hall plateaus by modifying the energy spectrum, while the flux induces \(\sigma _{\text {Hall}}\) oscillations whose amplitude grows at low cyclotron frequency. The combined action of the angular velocity \(\Omega\), the confinement frequency \(\omega _0\), and the cyclotron frequency \(\omega _c\) governs both the plateau structure and the oscillation period. These results show that rotation enhances quantum interference effects, offering clear guidelines for experiments on rotating quantum Hall devices.

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This is a theoretical work, and no new code/software has been generated. The numerical computation has been performed using Python.

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Acknowledgements

This work was partially supported by the Brazilian agencies CAPES, CNPq and FAPEMA. E. O. Silva acknowledges CNPq Grant PQ 306308/2022-3, FAPEMA Grants APP-12256/22 and UNIVERSAL-06395/22. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001.

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Author notes

  1. C. Pereira, L. Pereira, D. Assafrão, and E. Silva have contributed equally to this work.

Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Maranhão, São Luís, Maranhão, 65085-580, Brazil

    Carlos Magno O. Pereira, Luís Fernando C. Pereira & Edilberto O. Silva

  2. Departamento de Física, Universidade Federal do Espírito Santo, Vitória, Espírito Santo, Brazil

    Denise Assafrão

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  1. Carlos Magno O. Pereira
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  2. Luís Fernando C. Pereira
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Correspondence to Carlos Magno O. Pereira.

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Pereira, C.M.O., Pereira, L.F.C., Assafrão, D. et al. Rotating effects on the Hall conductivity in a quantum dot. Eur. Phys. J. Plus 140, 980 (2025). https://doi.org/10.1140/epjp/s13360-025-06925-6

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