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Quantum Breathers in Anisotropy Ferromagnetic Chains with Second-Order Coupling

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Abstract

Under considering the next-nearest-neighbor interaction, quantum breathers in one-dimensional anisotropy ferromagnetic chains are theortically studied. By introducing the Dyson-Maleev transformation for spin operators, a map to a Heisenberg ferromagnetic spin lattice into an extended Bose–Hubbard model can be established. In the case of a small number of bosons, by means of the numerical diagonalization technique, the energy spectrum of the corresponding extended Bose–Hubbard model containing two bosons is calculated. When the strength of the single-ion anisotropy is enough large, a isolated single band appears. This isolated single band corresponds to two-boson bound state, which is the simplest quantum breather state. It is shown that the introduction of the next-nearest-neighbor interaction will lead to interesting band structures. In the case of a large number of bosons, by applying the time-dependent Hartree approximation, quantum breather states for the system is constructed. In this case, the effect of the next-nearest-neighbor interaction on quantum breathers is also analyzed.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant No. 11264012 and the Talents Recruitment Program of Jishou University under Grant No. jsdxrcyjkyxm 201501.

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  1. College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China

    Bing Tang

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Tang, B. Quantum Breathers in Anisotropy Ferromagnetic Chains with Second-Order Coupling. Int J Theor Phys 55, 3657–3671 (2016). https://doi.org/10.1007/s10773-016-2995-x

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