Spin-Disorder and Non-Degenerate Energy States in Geometrically Frustrated Materials

We have studied chalcogenide Ni
_1-x
Fe
_x
Ga
₂
S
₄
, showing geometrical frustration effect. M-H curves at 4.2 K reveal that the disordered spins cannot be rotated completely along the direction of high external field of 5 T, since these spins are strongly constrained in the triangular lattice. H
_C
increases with increasing Fe concentration, being consistent with the enhanced antiferromagnetic (AFM) spin-spin interactions and the suppressed spin-fluctuation due to the increase in freezing temperature T
_f
. The specific heat (C
_P
/T) measurement do not show any phase transformation between 2 and 160 K and there is no clear indication of gap in the temperature dependent C
_P
curve between 0 and 7 T, because the atomic short-range ordering of the strained spin in the geometrically frustrated triangular lattice exists at low temperature. Though typical geometrically frustrated magnet shows degeneracy, Mossbauer analysis at 4.2 K shows that 5D of 3d orbit in the samples studied here is splitted into
⁵
T
_2g
and
⁵
E
_2g
, and
⁵
T
_2g
is further splitted into singlet and doublet by large electric quadrupole splitting. This suggests that Fe
²⁺
ionic state has no absolute degenerate energy states in all samples due to Jahn-Teller effect.