%0 Journal Article %1 WOS:000287712100009 %A Chaves, Andrey %A Peeters, F M %A Farias, G A %A Milosevic, M V %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2011 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW B %K imported %N 5 %R 10.1103/PhysRevB.83.054516 %T Vortex-vortex interaction in bulk superconductors: Ginzburg-Landau theory %V 83 %X The vortex-vortex interaction potential in bulk superconductors is calculated within the Ginzburg-Landau (GL) theory and is obtained from a numerical solution of a set of two coupled nonlinear GL differential equations for the vector potential and the superconducting order parameter, where the merger of vortices into a giant vortex is allowed. Further, the interaction potentials between a vortex and a giant vortex and between a vortex and an antivortex are obtained for both type-I and type-II superconductors. Our numerical results agree asymptotically with the analytical expressions for large intervortex separations that are available in the literature. We propose empirical expressions valid over the full interaction range, which are fitted to our numerical data for different values of the GL parameter.

@article{WOS:000287712100009, abstract = {The vortex-vortex interaction potential in bulk superconductors is calculated within the Ginzburg-Landau (GL) theory and is obtained from a numerical solution of a set of two coupled nonlinear GL differential equations for the vector potential and the superconducting order parameter, where the merger of vortices into a giant vortex is allowed. Further, the interaction potentials between a vortex and a giant vortex and between a vortex and an antivortex are obtained for both type-I and type-II superconductors. Our numerical results agree asymptotically with the analytical expressions for large intervortex separations that are available in the literature. We propose empirical expressions valid over the full interaction range, which are fitted to our numerical data for different values of the GL parameter.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Chaves, Andrey and Peeters, F M and Farias, G A and Milosevic, M V}, biburl = {https://www.bibsonomy.org/bibtex/212e9973d4c6f0cc818722e19315ebe64/ppgfis_ufc_br}, doi = {10.1103/PhysRevB.83.054516}, interhash = {6f108b3e98f9652d6956c5aecb55b7fc}, intrahash = {12e9973d4c6f0cc818722e19315ebe64}, issn = {1098-0121}, journal = {PHYSICAL REVIEW B}, keywords = {imported}, number = 5, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Vortex-vortex interaction in bulk superconductors: Ginzburg-Landau theory}, tppubtype = {article}, volume = 83, year = 2011 }