  Using the Hubbard model Hamiltonian in a mean field level, we examine the
variation of antiferromagnetic strength with applied magnetic field. It is
demonstrated that minima in the antiferromagnetic strength exist at the the
even integer denominator values of rational number for magnetic flux per
plaquette. The undulatory behavior of antiferromagnetic strength with the
external magnetic field is found. It is seen to be related to the undulatory
net statistical phase owing to the influence of the applied magnetic field.
