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

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Ground state Superconductivity Condensed matter physics Physics Magnetization Symmetry (geometry) Ginzburg–Landau theory Coupling (piping) State (computer science) Invariant (physics) Mathematics Mathematical physics Quantum mechanics Geometry Magnetic field Materials science Metallurgy Algorithm

Igor F. Herbut , Igor Boettcher , Subrata Mandal ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1103/physrevb.100.104503 · OA: W2961024488

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<sub>2</sub> 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. Here, the coupling to a parasitic s-wave component has only a minuscule quantitative and no qualitative effect on the ground state.