M. Mochizuki et M. Imada, Magnetic and orbital states and their phase transition of the perovskite-type Ti oxides: Strong coupling approach, J PHYS JPN, 70(6), 2001, pp. 1777-1789
The properties and mechanism of the magnetic phase transition of tile perov
skite-type Ti oxides, which is driven by the Ti-O-Ti bond angle distortion,
are studied theoretically by using the effective spin and pseudospin Hamil
tonian with strong Coulomb repulsion. It is shown that the A-type antiferro
magnetic (AFM(A)) to ferromagnetic (FM) phase transition occurs as the Ti-O
-Ti bond angle is decreased. Through this phase transition, the orbital sta
te changes only little whereas the spin-exchange coupling along the c-axis
is expected to change from positive to negative nearly continuously and app
roaches aero at the phase boundary. The resultant strong two-dimensionality
in the spin coupling causes rapid suppression of tile critical temperature
, as observed experimentally. It may induce large quantum fluctuations in t
his region.