Quantum nucleation of magnetic bubbles in a two-dimensional anisotropic Heisenberg model

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Abstract
The authors have studied the quantum dynamics of a two-dimensional anisotropic Heisenberg model subject to an external magnetic field. They have particularly been interested in the situation where the external field is pointing in the direction opposite to that along which the initial magnetisation is prepared. Taking the continuum limit, they have been able to estimate the decay rate of this metastable phase by quantum tunnelling at extremely low temperatures. They have shown that the decay rate is vanishingly small when mod H mod to 0 and increases with increasing mod H mod . Although the limit mod H mod to 0 has been treated analytically, the general dependence of the decay rate on mod H mod could only be studied numerically. They have also been able to establish the range of validity of their approach.

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