Instabilities in the classical Ising-Heisenberg chain

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Abstract
The ferromagnetic Ising-Heisenberg chain (distinctive parameter g) in a constant external field B=(B,0,0) is discussed in the classical continuum limit. It is shown that above the isotropic Heisenberg limit (g>1, easy-plane magnet) the static 2 pi kink in the XY plane becomes energetically unstable above a critical field Bc, whereas below the isotropic Heisenberg limit (g1/25 close to the Ising limit g=0, where it becomes stable above a critical field Bc (as functions of g, the two critical fields are given by the same analytical expression).