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• W3133792104 abstract "We use two different methods to prove the existence of novel, nonminimal and irreducible solutions to the Ginzburg-Landau equations on closed manifolds. To our knowledge these are the first such examples on nontrivial line bundles, that is, with nonzero total magnetic flux. The first method works with the 2-dimensional, critically coupled Ginzburg-Landau theory and uses the topology of the moduli space. This method is nonconstructive, but works for generic values of the remaining coupling constant. We also prove the instability of these solutions. The second method uses theory to construct solutions, and is applicable in higher dimensions and for noncritical couplings, but only when the remaining coupling constant is close to the bifurcation points, which are characterized by the eigenvalues of a Laplace-type operator." @default.
• W3133792104 created "2021-03-15" @default.
• W3133792104 creator A5042534615 @default.
• W3133792104 creator A5056919355 @default.
• W3133792104 date "2021-03-09" @default.
• W3133792104 modified "2023-09-27" @default.
• W3133792104 title "Nonminimal solutions to the Ginzburg-Landau equations" @default.
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• W3133792104 hasPublicationYear "2021" @default.
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