We present an anisotropy of the hysteretic transport around the spin transition point at the Landau level filling factor ν = 2/3 in a tilted magnetic field. When the direction of the in-plane component of the magnetic field B¶ is normal to the probe current I, a strong hysteretic transport due to the current-induced nuclear spin polarization occurs. When B¶ is parallel to I, on the other hand, the hysteresis almost disappears. We also demonstrate that the nuclear spin-lattice relaxation rate T1-1 at the transition point increases with decreasing angle between the directions of B¶ and I. These results suggest that the morphology of electron spin domains around ν = 2/3 is affected by the current direction.
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