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Noncollinear Magnetic Structure and Multipolar Order in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Eu</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Ir</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:…
The magnetic properties of the pyrochlore iridate material ${\mathrm{Eu}}_{2}{\mathrm{Ir}}_{2}{\mathrm{O}}_{7}$ ($5{d}^{5}$) have been studied based on first principles calculations, where the crystal field splitting $\mathrm{\ensuremath{\Delta}}$, spin-orbit coupling (SOC) $\ensuremath{\lambda}$, and Coulomb interaction $U$ within Ir $5d$ orbitals all play significant roles. The ground state phase diagram has been obtained with respect …