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Quantum Breathers in a Two-Dimensional Hexangular Heisenberg Ferromagnet

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Abstract

We present a theoretical study on quantum breathers in a XXZ Heisenberg ferromagnet with the single-ion uniaxial anisotropy on a two-dimensional hexangular lattice. In our work, the full quantum and the semiclassical cases are considered, respectively. For the full quantum case, we find that some isolated two-magnon bands can exist below the free magnon band. Physically, each isolated two-magnon band correspond to a two-magnon bound state, which is the simplest quantum breather state. For the semiclassical case, the analytical form of the discrete breather solution with a line localized structure is obtained by adopting the Glauber’s coherent-state representation. Furthermore, the influence of the anisotropy on the properties of quantum breathers is discussed in detail.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12064011, 11875126, and 11964011, the Natural Science Fund Project of Hunan Province under Grant No. 2020JJ4498, and the Graduate Research Innovation Foundation of Jishou University under Grant No. JGY202029.

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Authors and Affiliations

  1. Department of Physics, Jishou University, Jishou, 416000, China

    Wenhui Feng, Lanjun Wu, Bing Tang & Ke Deng

  2. The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology, Jishou University, Jishou, 416000, China

    Bing Tang

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  1. Wenhui Feng
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Feng, W., Wu, L., Tang, B. et al. Quantum Breathers in a Two-Dimensional Hexangular Heisenberg Ferromagnet. Int J Theor Phys 60, 1438–1454 (2021). https://doi.org/10.1007/s10773-021-04769-1

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