Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: Implication for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>5</mml:mn><mml:mi>d</mml:mi></mml:mrow></mml:math> transition metal oxides <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mi>OsO</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow><mml:mspace width="4pt" /><mml:mo>(</mml:mo><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">K</mml:mi><mml:mo>,</mml:mo><mml:mtext>Rb</mml:mtext><mml:mo>,</mml:mo><mml:mtext>and Cs</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math>

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タイトル別名
  • Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure : Implication for the 5d transition metal oxides AOsO(4) (A = K, Rb, and Cs)

抄録

We report our theoretical predictions on the linear magnetoelectric (ME) effects originating from odd-parity multipoles associated with spontaneous spin and orbital ordering on a diamond structure. We derive a two-orbital model for d electrons in e(g) orbitals by including the effective spin-orbit coupling which arises from the mixing between e(g) and t(2g) orbitals. We show that the model acquires a net antisymmetric spin-orbit coupling once staggered spin and orbital orders occur spontaneously. The staggered orders are accompanied by odd-parity multipoles: magnetic monopole, quadrupoles, and toroidal dipoles. We classify the types of the odd-parity multipoles according to the symmetry of the spin and orbital orders. Furthermore, by computing the ME tensor using the linear response theory, we show that the staggered orders induce a variety of the linear ME responses. We elaborate all possible ME responses for each staggered order, which are useful to identify the order parameter and to detect the odd-parity multipoles by measuring the ME effects. We also elucidate the effect of lowering symmetry by a tetragonal distortion, which leads to richer ME responses. The implications of our results are discussed for the 5d transition metal oxides, AOsO(4) (A = K, Rb, and Cs), in which the order parameters are not fully identified.

収録刊行物

  • Physical Review B

    Physical Review B 97 (2), 24414-, 2018-01-17

    American Physical Society (APS)

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