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85038328729
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a numerical calculation, the slow convergence of the Fourier transform of the dipolar interaction has to be carefully treated. In the present work we carried out the summation of Eq. (4.4) in a large sphere of a radius (formula presented) or (formula presented)
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In a numerical calculation, the slow convergence of the Fourier transform of the dipolar interaction has to be carefully treated. In the present work we carried out the summation of Eq. (4.4) in a large sphere of a radius (formula presented) or (formula presented).
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85038333087
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This result is consistent with the mean-field theory of Ref. 14, in which the Ising spin (formula presented) is exactly treated in the Hamiltonian. In our approach the Ising spin is obtained by the limit (formula presented). The ordered spin structure, which is not explicitly shown in Ref. 14, seems consistent with the present result
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This result is consistent with the mean-field theory of Ref. 14, in which the Ising spin (formula presented) is exactly treated in the Hamiltonian. In our approach the Ising spin is obtained by the limit (formula presented). The ordered spin structure, which is not explicitly shown in Ref. 14, seems consistent with the present result.
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