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Dynamics of vortices in quasi-two-dimensional classical Heisenberg magnets with weak easy-plane anisotropy

A R Volkel, A R Bishop, F G Mertens and G M Wysin

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The authors present a discussion of the dynamical correlation functions for Heisenberg magnets with a weak easy-plane anisotropy for temperatures just above the Kosterlitz-Thouless phase transition. Compared to the XY-model they find here vortices which have in addition to the well known in-plane structure a localized out-of-plane profile around their centre. For the ferromagnetic case this structure produces an effective magnetic field which acts as a gyro force on the other vortices. Assuming a dilute gas of weakly interacting vortices, they find analytic expressions for the vortex contribution to the dynamical correlation functions. These results are compared (i) with numerical Monte Carlo-molecular dynamics simulations on a 100*100 square lattice allowing them to determine values for the vortex correlation length xi and average vortex velocity u and (ii) with experiments performed on different quasi-two-dimensional magnetic materials.


PACS

75.10.-b General theory and models of magnetic ordering

75.30.Ds Spin waves

75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)

75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)

71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 47 (23 November 1992)



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