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Intrinsic Localized Modes in a Two-Dimensional Checkerboard Ferromagnetic Lattice

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Abstract

An analytical work on intrinsic localized modes in a two-dimensional Heisenberg ferromagnet on the checkerboard lattice is presented. Taking advantage of an asymptotic method, the governing lattice dynamical equations are reduced to one (2 + 1)-dimensional nonlinear Schrödinger equation. In our work, we obtain two types of nonlinear localized mode solutions, namely, Brillouin zone center modes and Brillouin zone corner modes. The occurrence conditions for these intrinsic localized modes are given in detail. Especially, we find that the competition between the Dzialozinskii-Moriya interaction and the next-nearest neighbor interaction of the checkerboard ferromagnet has an effect on the local structure of the Brillouin zone corner acoustic mode.

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Acknowledgements

This theoretical study was supported by the National Natural Science Foundation of China under Grant Nos. 12064011 and 11964011, and the Natural Science Fund Project of Hunan Province under Grant No.2020JJ4498.

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Authors and Affiliations

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

    Wenhui Feng, Heng Zhu & Bing Tang

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  1. Wenhui Feng
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  2. Heng Zhu
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  3. Bing Tang
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Wenhui Feng and Bing Tang wrote the main manuscript text and Heng Zhu prepared figures 4-7. All authors reviewed the manuscript

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Correspondence to Bing Tang.

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Feng, W., Zhu, H. & Tang, B. Intrinsic Localized Modes in a Two-Dimensional Checkerboard Ferromagnetic Lattice. Int J Theor Phys 62, 163 (2023). https://doi.org/10.1007/s10773-023-05420-x

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