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Ground state of the three-dimensional BCS d-wave superconductor

TitleGround state of the three-dimensional BCS d-wave superconductor
Publication TypeJournal Article
Year of Publication2019
AuthorsI. F. Herbut, I. Boettcher, and S. Mandal
JournalPhys. Rev. B
Date PublishedSEP 4
Type of ArticleArticle

We determine the mean-field ground state of the three-dimensional rotationally symmetric d-wave (l = 2) superconductor at weak coupling. It is a noninert state, invariant under the symmetry C-2 only, which breaks time-reversal symmetry almost maximally, and features a high but again less-than-maximal average magnetization. The state obtained by minimization of the expanded sixth-order Ginzburg-Landau free energy is found to be an excellent approximation to the true ground state. The coupling to a parasitic s-wave component has only a minuscule quantitative and no qualitative effect on the ground state.