Ginzburg-Landau-type theory of non-polarized spin superconductivity

Abstract

Since the concept of spin superconductor was proposed, all the related studies concentrate on spin-polarized case. Here, we generalize the study to spin-non-polarized case. The free energy of non-polarized spin superconductor is obtained, and the 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 super spin current is equal to the one induced by 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 the related topics such as Bose-Einstein condensate of magnons and spin superfluidity.

9 pages, 5 figures

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Dissipationless Quantum Spin Current at Room Temperature
• Bose-Einstein Condensation in Magnetic Insulators
• Superfluid spin transport through antiferromagnetic insulators
• Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
• Persistent spin current in nano-devices and definition of the spin current
• Magnon condensation into Q-ball in 3He-B
• Dissipationless Multiferroic Magnonics
• Superfluidity of pure spin current in ultracold Bose gases

Cited by in corpus (5)

• Universal spin superconducting diode effect from spin-orbit coupling
• Spin phase regulated spin Josephson supercurrent in topological superconductor
• Spin-flip reflection at the normal metal-spin superconductor interface
• Spin Transport in Normal Metal-Ising Superconductor Junction
• Geometric phase driven Josephson junction: Possible experimental scheme for the search of spin superfluidity