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

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 C2 only, which breaks time-reversal symmetry almost maximally, and features a high but again less-than-maximal a...

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Published in:Physical review. B 2019-09, Vol.100 (10), Article 104503
Main Authors: Herbut, Igor F., Boettcher, Igor, Mandal, Subrata
Format: Article
Language:English
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Coupling
Energy conservation
Free energy
Ground state
Symmetry
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description 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 C2 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.
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subjects Coupling
Energy conservation
Free energy
Ground state
Symmetry
title Ground state of the three-dimensional BCS d -wave superconductor
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