Quadratic magnetoelectric effect during field cooling in sputter grown Cr$_2$O$_3$ films
Muftah Al-Mahdawi, Tomohiro Nozaki, Mikihiko Oogane, Hiroshi Imamura,, Yasuo Ando, Masashi Sahashi

TL;DR
This study reports the discovery of a quadratic magnetoelectric effect in sputter-grown Cr$_2$O$_3$ films, which is absent in bulk crystals, due to symmetry breaking caused by trace dopants, with implications for multifunctional device applications.
Contribution
The paper demonstrates the emergence of a quadratic magnetoelectric effect in Cr$_2$O$_3$ films caused by symmetry breaking from trace dopants, a phenomenon not observed in bulk crystals.
Findings
Quadratic ME effect observed in sputter-grown Cr$_2$O$_3$ films.
Trace dopants remove symmetry constraints, enabling quadratic ME coupling.
Estimated quadratic susceptibility value for the films.
Abstract
CrO is the archetypal magnetoelectric (ME) material, which has a linear coupling between electric and magnetic polarizations. Quadratic ME effects are forbidden for the magnetic point group of CrO, due to space-time inversion symmetry. In CrO films grown by sputtering, we find a signature of a quadratic ME effect that is not found in bulk single crystals. We use Raman spectroscopy and magetization measurements to deduce the removal of space-time symmetry, and corroborate the emergence of the quadratic ME effect. We propose that meta-stable site-selective trace dopants remove the space, time, and space-time inversion symmetries from the original magnetic point group of bulk CrO. We include the quadratic ME effect in a model describing the switching process during ME field cooling, and estimate the effective quadratic susceptibility value. The quadratic…
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