mec
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MAGNETOELECTRIC
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Magnetoelectric effect
Free energy of magnetoelectric system:
The linear responses obtained from the free energy are:
W. F. Brown et al., Phys. Rev. 168, 574 (1968)
ITC, Vol. D, p. 137Time reversal symmetry
breaking, T(t -t)
Inversion symmetry breaking, I (x -x) IT(x -x,t -t)
is conserved
linear magnetoelectric CONSTRAINED
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Linear Magnetoelectric in Cr2O3
300
G.T. Rado and V.J.Folen, PRL 6, 607 (1961), J. Appl. Phys 33, 1126 (1962)
anisotropicTN = 306 K
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Magnetoelectric effect in multiferroic
Multiferroic: coexistance between : (magnetic, electric and strain) order parameter
PHYSICS TODAY Oct 2010
Magnetoelectric coupling
Quadratic MEC
Linear MEC
MnTiO3
Y(Mn,Ga)O3
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SOME OF MAGNETOELECTRIC MATERIALS
more....
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magnetism: unfilled d/f -shell: Mn3+, Fe3+,Co3+,Ni3+, rare earthsferroelectrics: empty d-shells: Ti4+, Zr4+, Nb5+, W6+, rare earths
lone pair: Pb2+,Bi3+
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IMPORTANCE OF MULTIFERROICS
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T. Kimura et al, Nature 426, 55 (2003)
MULTIFERROIC TbMnO33
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T. Kimura et al, Nature 426, 55 (2003)
Magnetic control of ferroelectric polarization
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M. Kenzelmann et al., PRL 95, 087206 (2005)
Spin Density Wave
M. Mostovoy, PRL 96, 067601 (2006)
Spiral magnetic phase driven ferroelectricity
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POLARIZATION FLOP
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RMnO3
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FERROELECTRICITY IN SPIN HELIX
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POLARIZATION REVERSAL UPON MAGNETIZATION REVERSAL
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