Ginzburg-Landau theory for the conical cycloid state in multiferroics: applications to CoCr$_2$O$_4$

Details Ginzburg-Landau theory for the conical cycloid state in multiferroics: applications to CoCr$_2$O$_4$ Ginzburg-Landau theory for the conical cycloid state in multiferroics: applications to CoCr$_2$O$_4$

2007-10-24

arxiv.org/abs/0710.4550v4

Phys. Rev. B 78, 144426 (2008)

Physics

Condensed Matter

Materials Science

6 pages, 3 figures, accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.78.144426

We show that the cycloidal magnetic order of a multiferroic can arise in the absence of spin and lattice anisotropies, for e.g., in a cubic material, and this explains the occurrence of such a state in CoCr$_2$O$_4$. We discuss the case when this order coexists with ferromagnetism in a so called `conical cycloid' state, and show that a direct transition to this state from the ferromagnet is necessarily first order. On quite general grounds, the reversal of the direction of the uniform magnetization in this state can lead to the reversal of the electric polarization as well, without the need to invoke `toroidal moment' as the order parameter.

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