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On stationary topological solitons in a two-dimensional anisotropic Heisenberg model

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Abstract

We study stationary two-dimensional solitons in an easy-axis Heisenberg magnet with the Hamiltonian density

wherei=1, 2,a=1, 2, 3, and θ(x i ) is the angle between unit vector s(x i ) and the ‘easy’ axis, 0<p<∞. Stable solitons with a topological chargeQ=1 and localized distributionss a(x i ) withQ=2 are found. The existence of the bound states of two solitons withQ=1 is shown numerically for 0<p<∞.

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Authors and Affiliations

  1. Head Post Office, Joint Institute for Nuclear Research, PO Box 79, 10100, Moscow, USSR

    A. A. Bogolubskaya & I. L. Bogolubsky

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  1. A. A. Bogolubskaya
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  2. I. L. Bogolubsky
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Bogolubskaya, A.A., Bogolubsky, I.L. On stationary topological solitons in a two-dimensional anisotropic Heisenberg model. Lett Math Phys 19, 171–177 (1990). https://doi.org/10.1007/BF01045888

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