Ginzburg-Landau-type theory of nonpolarized spin superconductivity

Since the concept of spin superconductor was proposed, all the related studies concentrate on the spin-polarized case. Here, we generalize the study to the spin-non-polarized case. The free energy of nonpolarized spin superconductor is obtained, and Ginzburg-Landau-type equations are derived by usin...

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Bibliographic Details
Published in:Physical review. B 2017-01, Vol.95 (1), p.014501, Article 014501
Main Authors: Lv, Peng, Bao, Zhi-qiang, Guo, Ai-Min, Xie, X. C., Sun, Qing-Feng
Format: Article
Language:English
Subjects:
Electric fields
Free energy
Magnons
Mathematical analysis
Spintronics
Superconductivity
Superfluidity
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Summary:Since the concept of spin superconductor was proposed, all the related studies concentrate on the spin-polarized case. Here, we generalize the study to the spin-non-polarized case. The free energy of nonpolarized spin superconductor is obtained, and Ginzburg-Landau-type equations are derived by using the variational method. These Ginzburg-Landau-type equations can be reduced to the spin-polarized case when the spin direction is fixed. Moreover, the expressions of super linear and angular spin currents inside the superconductor are derived. We demonstrate that the electric field induced by the super spin current is equal to the one induced by an equivalent charge obtained from the second Ginzburg-Landau-type equation, which shows self-consistency of our theory. By applying these Ginzburg-Landau-type equations, the effect of electric field on the superconductor is also studied. These results will help us get a better understanding of the spin superconductor and related topics such as the Bose-Einstein condensate of magnons and spin superfluidity.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.95.014501