On Sine-Gordon Vortices in High-Temperature Superconductors
Sine-Gordon vortices in superconductors play important role . Severals years ago a magnetic-field-induced superconductive state in heavy fermion systems  and  was studied. It was shown using the symmetry analysis that there may exists in the free energy expansion a four order coupling between the complex superconducting order parameter, which is in general one to three dimensional, and the magnetization. Depending on the strength of this coupling a superconductive state induced by the magnetic field  and  may be induced increasing the magnetic field. Experimentally in that time it was reported that in CePb 3 there exists a ferromagnetic phase and simultaneously there is an evidence for presence of superconductivity. The Kondo-lattice superconductivity was studied in this connection,  and . Superconducting states of different symmetry s, p, d were found to exist in the Kondo-lattice systems. A phase transition from the normal phase to the superconducting phase in CePb 3 type materials occurs in our phenomenological model through creation of a vortex lattice, in which vortices are now superconducting regions induced by an external magnetic field. Increasing the magnetic field the density of vortices and their shape become larger and the superconducting phase increases its volume in the material.
KeywordsSuperconducting State Topological Charge Vortex State Single Vortex Interlayer Coupling
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