Bond electronic polarization induced by spin

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Chenglong Jia,¹ Shigeki Onoda,² Naoto Nagaosa,^2,3,4 and Jung Hoon Han^1,5
¹Department of Physics and Institute for Basic Science Research, Sungkyunkwan University, Suwon 440-746, Korea
²Spin Superstructure Project, ERATO, Japan Science and Technology Agency, c/o Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan
³CREST, Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan
⁴Correlated Electron Research Center, National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki 305-8562, Japan
⁵CSCMR, Seoul National University, Seoul 151-747, Korea

Received 17 August 2006; revised 9 October 2006; published 29 December 2006

Westudy theoretically the electric polarization induced by noncollinear spin configurationsin the limit of strong Hund coupling. We employ amodel of two magnetic ions sandwiching an oxygen ion. Itis shown that there appears a longitudinal polarization P_x alongthe bond, which is roughly proportional to (m rx )²−(m lx )² where m r(l)x is the x component of the spin orientation vector atright (left) magnetic ion. A numerical study of the modelHamiltonian yields both longitudinal and transverse electric dipole moments. Thetransverse polarization is shown to have a nonuniform as wellas a uniform component, with the latter being consistent withthe previous theory. The longitudinal polarization is nonuniform and oscillatingwith the period half that of the spin order, butthe local magnitude is typically much larger than the uniformtransverse polarization and may be detected by x-ray/neutron scattering experiments.

URL:	http://link.aps.org/doi/10.1103/PhysRevB.74.224444
DOI:	10.1103/PhysRevB.74.224444
PACS:	75.80.+q; 71.70.Ej; 77.80.-e 75.80.+q Magnetomechanical and magnetoelectric effects, magnetostriction 71.70.Ej Spin–orbit coupling, Zeeman and Stark splitting, Jahn–Teller effect (condensed matter) 77.80.-e Ferroelectricity and antiferroelectricity YEAR: 2006
KEYWORDS:	spin Hamiltonians, electron spin polarisation, multiferroics, spin-orbit interactions, magnetic structure, X-ray scattering, neutron diffraction, spin dynamics

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