Spin current and magneto-electric effect in non-collinear magnets

Spin current and magneto-electric effect in non-collinear magnets

13 Dec 2004 | Hosho Katsura, Naoto Nagaosa, and Alexander V. Balatsky
This paper presents a new microscopic mechanism for the magneto-electric (ME) effect in non-collinear magnets based on spin supercurrents. The authors argue that the ME effect and spin current are directly related, with the spin current being analogous to the superconducting current. The spin supercurrent is induced between spins in non-parallel configurations, leading to electric polarization. This is a dual effect to the Dzyaloshinskii-Moriya (DM) interaction and the Aharonov-Casher effect. The vector potential coupled to the spin current is the vector product of the electric field/electric polarization and the bond direction between spins. This allows for a microscopic theory of the electric field-induced DM interaction. The paper discusses the analogy between the magnetically ordered state and the superconducting state, highlighting the canonical conjugate relation between spin and angle variables. The spin supercurrent is derived from the XY model and is analogous to the Josephson equation. The DM interaction is shown to act as a gauge field for the spin current, and the electric field can induce the DM interaction when inversion symmetry is broken. The paper also discusses the spin current and electric polarization in spiral spin structures, such as ZnCr₂Se₄. The spin current is found to be proportional to the cross product of the spin directions, and the electric polarization is proportional to the cross product of the bond vector and the spin current. The results show that the electric polarization is nonzero in certain spiral configurations, even when the spiral wavenumber is incommensurate with the lattice periodicity. The paper concludes that the ME effect and spin current are closely related, and the spin supercurrent provides a new mechanism for the ME effect in non-collinear magnets. The results are consistent with experimental observations and theoretical predictions for materials such as ZnCr₂Se₄. The paper also discusses the implications of the results for other materials and the potential for further research in this area.This paper presents a new microscopic mechanism for the magneto-electric (ME) effect in non-collinear magnets based on spin supercurrents. The authors argue that the ME effect and spin current are directly related, with the spin current being analogous to the superconducting current. The spin supercurrent is induced between spins in non-parallel configurations, leading to electric polarization. This is a dual effect to the Dzyaloshinskii-Moriya (DM) interaction and the Aharonov-Casher effect. The vector potential coupled to the spin current is the vector product of the electric field/electric polarization and the bond direction between spins. This allows for a microscopic theory of the electric field-induced DM interaction. The paper discusses the analogy between the magnetically ordered state and the superconducting state, highlighting the canonical conjugate relation between spin and angle variables. The spin supercurrent is derived from the XY model and is analogous to the Josephson equation. The DM interaction is shown to act as a gauge field for the spin current, and the electric field can induce the DM interaction when inversion symmetry is broken. The paper also discusses the spin current and electric polarization in spiral spin structures, such as ZnCr₂Se₄. The spin current is found to be proportional to the cross product of the spin directions, and the electric polarization is proportional to the cross product of the bond vector and the spin current. The results show that the electric polarization is nonzero in certain spiral configurations, even when the spiral wavenumber is incommensurate with the lattice periodicity. The paper concludes that the ME effect and spin current are closely related, and the spin supercurrent provides a new mechanism for the ME effect in non-collinear magnets. The results are consistent with experimental observations and theoretical predictions for materials such as ZnCr₂Se₄. The paper also discusses the implications of the results for other materials and the potential for further research in this area.
Reach us at info@study.space