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The origin of the G-type antiferromagnetism (AFM(G)) and puzzling propertiesof RTiO$_3$ with R=La are studied. We clarify that the crystal field from Lacaused by the GdFeO$_3$-type distortion lifts the $t_{2g}$ degeneracy at Ti 3dorbitals. The lift stabilizes the AFM(G) with spin-exchange constant inagreement with neutron scattering results. The orbital-spin structures forR=Pr, Nd and Sm are also consistent with experiments. We propose that theGdFeO$_3$-type distortion has a universal mechanism of controlling orbital-spinstructure competing with the Jahn-Teller (JT) mechanism.Comment: 4 pages including 2 figure

physical review letters

Orbital-Spin Structure and Lattice Coupling in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub></mml:math>where<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">L</mml:mi><mml:mi mathvariant…

Orbital-Spin Structure and Lattice Coupling inRTiO3whereR=L