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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 />
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