Spinless electric toroidal multipoles in ferroaxial ${\mathrm{K}}_2\mathrm{Zr}(\mathrm{P}{\mathrm{O}}_4{)}_2$ revealed by symmetry-adapted closest Wannier analysis

Yu Xie, Rikuto Oiwa, Satoru Hayami

From a symmetry perspective, ferroaxial order belongs to the same symmetry as time-reversal-even pseudovectors. Experimentally, ${\mathrm{K}}_2\mathrm{Zr}(\mathrm{P}{\mathrm{O}}_4{)}_2$ is known to undergo a displaci…