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Global minimizer for the Ginzburg-Landau functional of an inhomogeneous superconductor
Kwang Ik Kim, Zuhan Liu
Source abstract
In this paper, we prove that the global minimizer of the Ginzburg-Landau functional of an inhomogeneous superconductor in an external magnetic field below the first critical field Hc1 is the vortexless solution. Here, Hc1 is defined as the value of hex, the applied field, for which the minimal energy among vortexless configurations is equal to the minimal energy among single-vortex configurations.
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