Bond electronic polarization induced by spin

Abstract

We study theoretically the electric polarization induced by noncollinear spin configurations in the limit of strong Hund coupling. We employ a model of two magnetic ions sandwitching an oxygen ion. It is shown that there appears a longitudinal polarization P_x along the bond, which is roughly proportional to (m_r^x)^2-(m_l^x)^2 where m_{r(l)}^x is the x-component of the spin orientation vector at right (left) magnetic ion. A numerical study of the model Hamiltonian yields both longitudinal and transverse electric dipole moments. The transverse polarization is shown to have a non-uniform as well as a uniform component, with the latter being consistent with the previous theory. The longitudinal polarization is non-uniform and oscillating with the period half that of the spin order, but the local magnitude is typically much larger than the uniform transverse polarization and may be detected by X-ray/neutron scattering experiments.

8 pages including 6 figures; discussion on experiments in multiferroics added

References in corpus (4)

• Spin current and magneto-electric effect in non-collinear magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Collinear-to-Spiral Spin Transformation without Changing Modulation Wavelength upon Ferroelectric Transition in Tb1-xDyxMnO3

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• Magnetoelectric effects in the skyrmion host material Cu2OSeO3
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• Nematic and chiral orders for planar spins on triangular lattice
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