Charged domain boundaries stabilized by translational symmetry breaking in the hybrid improper ferroelectric Ca$_{3-x}$Sr$_x$Ti$_2$O$_7$
Hiroshi Nakajima, Kosuke Kurushima, Shinya Mine, Hirofumi Tsukasaki,, Masaya Matsuoka, Bin Gao, Sang-Wook Cheong, and Shigeo Mori

TL;DR
This study reveals atomic-scale structures and stabilization mechanisms of charged domain boundaries in a hybrid improper ferroelectric, highlighting the role of out-of-phase boundaries and strontium ions in charge stabilization.
Contribution
It uncovers a novel stabilization mechanism for charged domain boundaries involving out-of-phase boundaries and ionic arrangements in hybrid improper ferroelectrics.
Findings
Charged domain boundaries correspond to out-of-phase boundaries with fractional translational shifts.
Strontium ions are located at charged domain boundaries.
Out-of-phase boundaries may reduce polarization charge, stabilizing the charged state.
Abstract
Charged domain walls and boundaries in ferroelectric materials display distinct phenomena, such as an increased conductivity due to the accumulation of bound charges. Here, we report the electron microscopy observations of atomic-scale arrangements at charged domain boundaries in the hybrid improper ferroelectric CaSrTiO. Like in the prototype improper ferroelectric YMnO, we find that charged domain boundaries in CaSrTiO correspond to out-of-phase boundaries, which separate adjacent domains with a fractional translational shift of the unit cell. In addition, our results show that strontium ions are located at charged domain boundaries. The out-of-phase boundary structure may decrease the polarization charge at the boundary because of the ferrielectric nature of CaSrTiO, thereby promoting the stabilization…
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