论文标题

麦克斯韦 - $ cp(2)$

Maxwell-$CP(2)$ vortices in the presence of magnetic impurities

论文作者

da Hora, E., Krusch, S.

论文摘要

我们认为Maxwell-$ cp(2)$模型扩展到包括磁杂质。我们将注意力集中在与径向对称性的时间无关的配置上,从中,我们从中遵循Bogomol'nyi-prasad-Sommerfield(BPS)处方,从中最大程度地减少了相应的能量。我们使用一般的一阶表达式,以引入修改的场景,其中杂质起着相关作用。然后,我们通过有限差分方案在数值上求解有效的一阶方程,从中,我们从中评论了由局部杂质引起的最终解决方案形状的主要变化。当杂质成为三角洲函数时,我们还讨论了限制。

We consider a Maxwell-$CP(2)$ model extended to include a magnetic impurity. We focus our attention on the time-independent configurations with radial symmetry, from which we minimize the corresponding energy by following the Bogomol'nyi-Prasad-Sommerfield (BPS) prescription. We use the general first-order expressions in order to introduce modified scenarios in which the impurity plays a relevant role. We then solve the effective first-order equations numerically by means of a finite-difference scheme, from which we comment on the main changes on the shape of the final solutions caused by the presence of a localised impurity. We also discuss the limit when the impurity becomes a delta function.

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