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ORAL CONTRIBUTIONS<br />

Vortex-antivortex configurations in thin superconducting disks with an<br />

out-plane magnetic dipole<br />

Leonardo R. E. Cabral<br />

Departamento de Física, Universidade Federal de Pernambuco, Av. Prof. Moraes Rego, 1235 -<br />

Cidade Universitária, Recife-PE, 50670-901, Brazil<br />

Vortex configurations in thin films [1] and mesoscopic disks [2,3] in the presence of<br />

ferromagnetic dots have been studied and it is shown that vortex-antivortex patterns<br />

may be observed. In films the vorticity of vortices and antivortices should be the same,<br />

whereas different vorticity values for vortices and antivortices are allowed in disks,<br />

provided they are small enough. In this talk we revisit this system within the framework<br />

of the London approach for the case of negligible demagnetization effects. We study the<br />

stable vortex configurations in superconducting disks in the presence of an<br />

inhomogeneous magnetic field produced by an out-plane magnetic dipole placed at the<br />

disk main axis. The shielding currents generate a confinement potential for stable<br />

vortices configurations. In some circunstances, configurations containing both vortices<br />

and antivortices can be obtained. These configurations are calculated numerically by<br />

solving the Bardeen-Stephen equation of motion for vortices. In the case of highly<br />

symmetrical configurations - i.e., those where the ratio of the number of vortices and<br />

antivortices in different shells is an integer and there are more than one antivortex - we<br />

obtain a set of algebraic equations for the vortex and antivortex positions which can be<br />

solved numerically. When the number of vortices and antivortices in different shells are<br />

the same anallytical expressions yield good approximations for the vortex and<br />

antivortex positions, provided they are far from the disk edge.<br />

[1] M. V. Milošević, S. V. Yampolskii, and F. M. Peeters, Phys. Rev. B 66, 174519<br />

(2002).<br />

[2] M. V. Milošević, S. V. Yampolskii, and F. M. Peeters, Phys. Rev. B 66, 024515<br />

(2002).<br />

[3] M. V. Milošević and F. M. Peeters, Phys. Rev. B 68, 094510 (2003).<br />

31

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