Orbital magnetoelectric coupling at finite electric field

Details Orbital magnetoelectric coupling at finite electric field Orbital magnetoelectric coupling at finite electric field

2011-01-24

arxiv.org/abs/1101.4686v2

Phys. Rev. B83:092407,2011

Physics

Condensed Matter

Materials Science

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.83.092407

We extend the band theory of linear orbital magnetoelectric coupling to treat crystals under finite electric fields. Previous work established that the orbital magnetoelectric response of a generic insulator at zero field comprises three contributions that were denoted as local circulation, itinerant circulation, and Chern-Simons. We find that the expression for each of them is modified by the presence of a dc electric field. Remarkably, the sum of the three correction terms vanishes, so that the total coupling is still given by the same formula as at zero field. This conclusion is confirmed by numerical tests on a tight-binding model, for which we calculate the field-induced change in the linear magnetoelectric coefficient.

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