Small amplitude oscillations of sine-gordon vortex states in planar magnets in three dimensions

Pereira, A. R.

doi:10.1590/s0103-97332002000400025

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The Solutions and Their Stability1

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2003

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“…Since m 1 and φ 1 are small, we may neglect higher orders terms proportional to them and their derivatives in the equations of motion 9 . In this case we would be neglecting the spin wave interactions.…”

Section: The Solutions and Their Stabilitymentioning

confidence: 99%

On phase transition and vortex stability in the generalized XY models

Mól

Pereira

Moura-Melo³

2003

Physics Letters A

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We study a recent generalization proposed for the XY model in two and three dimensions. Using both, the continuum limit and discrete lattice, we obtained the vortex configuration and shown that out-of-plane vortex solutions are deeply jeopardized whenever the parameter of generalization, L, is increased. The critical temperature for such models is calculated using the self consistent harmonic approximation. In both, two-and three-dimensional cases, such a temperature decreases with raising L. Our results are also compared with other approximated methods available in the literature.

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Section: The Solutions and Their Stabilitymentioning

confidence: 99%