Tb is usually observed by ZFC magnetization curves, which are recorded at low (5-50 Oe) applied fields. The reason is that you don't want to disturb the energy barrier from which the Tb is extracted. When you increase the field, the zeeman term -(mu)H alters the shape and height of the anisotropy barrier by decreasing the energy at one direction while incresing the opposite. The results is a usual decrease of the energy barrier and thus you will need a lower kBT value to flip the spins over it.
Just a link where simple but graphical ideas are depicted:
actually we are measure at different magnetic field ZFC curves it has shown Tb increases with increasing of magnetic field any reason for this behavior ? or if it is decreases (Tb) with increases of field
It is well established that the onset of superparamagnetic behavior occurs at a blocking temperature defined by the height of the barrier to magnetization rotation of the single domain particles (ideally at a barrier height of 25 kBTb). The barrier height, on the other hand, is field dependent. where an effective field component applied along the uni-axial anisotropy direction increases the barrier height, thus increasing the "apparent" blocking temperature. However, the blocking temperature of a superparamagnetic powder depends on intrinsic parameters (anisotropy constant and mean volume of the single-domain particles), and therefore, for a physically reliable determination of the blocking temperature, measurements of the magnetization vs temperature should be performed at low applied fields such that (mu)H/KV