  To investigate the Hall resistivity rH of systems with non-trivial spin
structures, transport and magnetic properties of the oxygen deficient
perovskite system TbBaCo2O5.53 with non-trivial magnetic structures have been
adopted. As has been already known, the system exhibits, with decreasing
temperature T, a transition to a ferromagnetic (FM) phase with non-collinear
magnetic structure at TC 280 K in zero magnetic field and with further
decreasing T, the spontaneous magnetization begins to decrease at T1~260 K and
becomes zero at TN 245 K, where an antiferromagnetic (AFM) phase with
non-collinear magnetic structure is realized. The metamagnetic behavior is
induced by the relatively small magnetic field H (< 5 T) in the T region
between ~200 K and T1. In this T region, unusual H dependence of rH has been
observed. By analyzing the observed rH and magnetization M, the H dependence of
the anomalous Hall coefficients Rs has been obtained at various fixed
temperatures. Based on the magnetic structure reported previously by our group,
the possible relevance of the non-trivial magnetic structure to the observed
unusual behavior of rH is pointed out.
